Math Practice - Tests - Level - 4 PDF

 

Mathematics Practice Tests Level 4 Mathematics

Michael W Priestley

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

 

Text copyright © 2002, 2010 by Michael W Priestley Copyright © 2013 Scholastic Education International (Singapore) Private Limited All rights reserved. Previously published as Scholastic Success With Math Tests Grade 3 to Grade 6 by Scholastic Inc. This edition published by Scholastic Education International (Singapore) Private Limited A division of Scholastic Inc. No part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without the written permission of the publisher. For information regarding permission, write to: Scholastic Education International (Singapore) Private Limited 81 Ubi Avenue 4 #02-28 UB.ONE Singapore 408830 [email protected] First edition 2013 ISBN 978-981-07-3235-6

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

 

 Welcome to

!

Mathematics Practice Tests is designed to help your child prepare to take mid-year and end-of-year tests.

Each practice test has 15 multiple-choice problems, 17–20 short response problems and 7–11 extended response problems. Your child should take 80–90 minutes to complete each practice test. The questions in each test assess • Knowledge: the ability to recall mathematical facts, concepts, rules and formulae, and to perform straightforward computations • Comprehension: the ability to interpret data and use mathematical concepts, rules or formulae and to solve routine mathematical problems

M ii d   d -- Y  e Y   e a     r  a r T e e s  s   tt   A A

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S k  W H ki  i  l  H O   L L EE  ll  l s  s    O     N U  U MB EE R R   SS   1 N uu   mb ee rr  K n    no t t a no    w  o    l  w l e  ed    g  a  t t ii  oo n    a n d   e  2  Ap  g    e d  p l la p p rr   o o x x ii   ma  C o     cc ee  a  om    p     v a m   r  p a l l  uu  ee   r   e  t t ii  oo n   a nd  eh    e  h e   n  3  F a ns  s  i  i o    n  o     e ss  t t ii  ma t t  a  cc t t  oo r r ss  Q 1,  Q 1 n    a nd  m ii  oo n   Ap   A p p  6  pl  l  i  ic  u  4  P a c   a  l lt t  ii  p at  t i  p l  lee  i  o  on        ss   n a t t  t t ee rr  Q 2 2    n  s  5  Mu  Q  9 9    l l t tii   p p l l  ii  cc a ,   Q 17     t t ii  oo n   b  a  d ii  g yy  a  nu m g  ii  t t ss   Q 12 , Q  b ee  rr  u p p  t oo  2   6  D ii  vv   2 2    6 6    ,   Q  ii  ss  ii  oo n   b yy  4 4 0     Q  0  Q 3 3 ,  Q 18   a  1- d 3 3 4    4  7  W  d ii   g g  ii  t t nu m oo r r d    p rr o o b d  b ee rr      b l l  ee m   s  S TT A   T II  SS  TT II    C C SS     8  T a a b   l  lee  b     ss  a nd   Q 14 , Q  l ii n  e  g rr a 9  C oo   15 , Q 2    p a  p h  s  oo r r d 2 9  9 ,   Q  Q 3   ii   na t tee  d  3 7   ,   Q 3 7     g ee  oo m 3 9    4 4 1   9    e t trr   y y   Q 7 7 ,  Q 2 2 4    F RR A   C TT II  O 4   O N   SS  N     Q 5 Q  5    , 2 2      Q 6 5 5 ,  Q 3 6 ,  Q 2 10  A 3 5  5   2 0   ,   0  Q 2 d d d  ii  t t ii  oo n   a  2    1 nd  s uu  b 11 F rr   b  t t rr a    cc t t  ii  oo  n  a  a a  cc t t  ii  oo n   o  o ff  f rr a    cc t t  ii  oo n  s  a  ff  a  s ee  t t  12  M   Q 4 i xx ee     d 4   d  nu   ss     a nd  i  f rr a   cc  a    t  t ii  oo n  s  mb ee rr  Q 8 mp rr o o p Q 3 8   3 2     p  ee rr  2     13  W  oo r r d    p rr o o b d  Q 13   b l l  ee m   s  Q 2 G EE O 2 7     O M 7    E TT R R   Y Y   14  A ng l l ee ss     Q 3 3 0   ,  Q 3 0  15  8  3 1   , Q 3 --  p p oo     ii n  t  c oo   Q 3 3 3   ,   3  3 6   ,   Q 3 6  mp a 3 8    a ss     ss   8  16  P ee   Q 10 , Q  rr p   ee  p     nd ii  cc uu     l la 19     rr  a nd  a  17  P rr     p  a a    oo p  p ee  r r       rr t t  ii  ee  ss   a a l l  l lee  Q 11    l l l ii n  e ss   o ff  a  s q r ee  cc t t  a q    u u    a a rr   ee  a n  g l l ee       a nd   Q 2 Q 2 2 2    2  2 8    8  a   Q 2 2 3    S t  3  tr  r   a  at  1 D rr   t e     g  e gi  i  e  es  s    a a  w w  a  mo  d d  ee l l   2  W  oo r r k k  b a K  no  n    w  o   l  a cc     kk w w    a w  l e    d  e   g  a  rr d d   e  3  D rr     ss  d     g e    a a w     a  d ii   w  C o  om    p  m   r  p a a g    rr a r   e  eh    e  g  h  m a    e  n    s  n s  i  i o    n  o    n Q 3 3 7   ,  Q 3 7   Ap   A p p  pl  3 9    l i  9  i  c  ca    t  a t i  i  o  on     n Q 4 4  0 0  

• Application and Analytical Skills: the ability to analyze data and/or apply mathematical concepts, rules or formulae in complex situations

At the back of this book you will find a Skills and Strategies Index  and  and an Answer Key . The Skills and Strategies Index • categorizes the problems problems according to Knowledge, Comprehension, and Application and Analytical Skills

Q 4 4  1

10 9 9  

• categories, lists the mathematical concepts and skills measured and the test problems that measure each skill, and • lists suggested problem-solving strategies for some extended response problems.

 A  An nsw er  K ey  Mid-Y  id-Y e ear ar T est A Sec ectio tion n A 1.  a  5. b  9. 9.   c  13 13.. a 

2. b  6. d  10. c  14. 4.   c

3.  7 .  11. 15.

Se Sect  ct ion on B  B 16. 3  30 00  18. 1  10 0 0  000 00 19.

To score a test, please refer to the corresponding Answer Key, which the correct responseresponse to each problems. problem and provides workedlists solutions to extended

         

4. d 8. a 12. b

Sally  Sally ’s tota totall ssccor e 

57   +  + 62 = 11 119 9 83 + 7 7 7   = 1  160 60  Jo  Joe e w as the  the t op score corer  r   in  in the the e  exxam. Tim Tim’s ’s  tota totall scor  cor e

36. a. 3  ×   25 25 = 1  15 5    

17 . 1 1,, 2 2,, 4 4,, 8 8,, 1 16 6 20. 

P

This index may be helpful to you in determining what kinds of problems your child answered incorrectly, what skills he may be having trouble with, and which areas he may need further instruction in.

d d  d  d

 

5

He g  give ivess a aw  w ay 15 15 g  gup uppi pie es. b. b.   25 –  15 15 =  =  10 He h  ha as 10 10 g  gup uppi pie es le left  ft .

37 . a. Str ateg tegy : D  Dr  r a aw  w   a  a model   980 g

55° R

Pawp Pawpa aw 

Q

Pe Pea ar 

21. (E (E,, 2) 22. Lin  Linee Q  QT  T  23. W Z and X  XY  Y  or  or W X an and d Z Y Y   24. 35 25. 1  10 0 26 26.. 27   27 . 16 28 28.. 9 90 0 29 29.1 .10 00 ×   10 10 = 1  100 000 0 30. 4 31. 12  32. 2.  6  7   34. 4. 1  12 2 

             

   

10

33 33.. a a.. 4 1 

b.  1 1

2

Sec ectio tion nC 35. 5.   a. a.  

?

     

Englis ish h

b. 9 80 80 +  +  14 140 0 = 1  112 120 0 T hhe  e tot  tot a al m l ma ass of t hhe  e tw o f rr  uuits its i  iss 112 120 0 gr ams.

38 38.. 1 –   1 =  2 

2

Name

Mass ss  of   pe pear 980 ÷ 7  = 1  14 40 T hhe m e ma ass of  of the the p  peear   is  is 140 gr ams ams.

3 3 2  ×  36 360 0 = 2  24 40 3

 

 Jo  Joee

96 poin ints ts

Sally  Sally 

Math the emat ics 78 p 78 po oint s

57  po point  int s

T iim m

62 po  points

83 p 83 po oin int  t s

7 7  7 poin int  t s

24 240 0 pa pass ssen enge gers rs  finally  nally  re rea ached ched  Pena Penanng.

39 39.. a a.. Str ateg tegy : Dr a aw  w   a  a mode modell Girls ? Boy s

b.  Jo  Joe e had th ad thee b  bes est  t   sco score re in  in  Mathem themat  at iics. cs.

34 7 40 ?

c.  J oe sc oe scor  or ed 7 8 point  point s. Sal Sally score cored d 6  62 2 poi oinnts. ts. 7 8 − 62 = 16  J oe  oe sco score red d 16 p  po oin ints ts  m or e t han han S  Sal ally  ly . d. J   J o oe’s ’s t   t otal tal sc  sco ore re   96 + 7 8 = 17 4

 

Adu Adults

   

To Total tal  un uniits

    

15 15 u  unnits its   1 uni nitt

1 +  +  9 + 5 = 1  15 5 34 7 40 34 7 40 ÷  ÷15 15 = 2  231 316 6

117

3 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

How to use this book 

1. Ensure your child has the necessary tools such as a ruler, protractor, set-square etc. 2. Tell your child how much time he has to complete the practice test. Encourage him to work quickly and carefully, and to keep track of the remaining time — just as he would in a real testing session. 3. Do not allow your child to use a calculator. 4. To score a practice test, go through the test and mark each problem answered correctly. Add the number of correct answers to find your child’s test score. Record the score on the contents page to keep track of your child’s progress. You might want to have your child correct his own tests. This will give him a chance to see where he made mistakes and what he needs to do to improve his scores on the next test. Provide remediation as necessary. 5. Parallel problems across tests allow you to assess if remediation has been successful. 38. Jimmy’s swimming lesson started at the time shown on the clock. His lesson ended 1 hour 30 minutes later.

36. Mr Bunker fell asleep in the afternoon at the time shown. He woke up 1 hour and 30 minutes later. At what time did he wake up? Give your answer using the 24-hour clock.

11

12  

1

10 11

12  

10 9

4 7

3

6

5

4 7

6

5

   

37. Kelly gave 3  of her stickers to Charlie. She had 4

 

3 8

2

8

2

9

1

6 stickers left. How many many sticke stickers rs did she give Charlie?

Parallel problems

a. At what time did the he lesson end? b. If Jimmy’s watch watch was 10 m minutes inutes fa ast, st, what time would the watch show when the lesson ended? Give your answer using the 24-hour clock.

3 39. A box had 60 biscuits.  of them were wholegrain 1 4

5

biscuits and  were rolled biscuits. The rest were

 

cheese biscuits. a. How many wholegrain and rolled biscuits were there? b. How many cheese biscuits were there?

92

78

On the next page of this book, you will find test-taking tips. You may want to share these tips with your child before he begins working on the practice tests.

4 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 A Note to Parents Dear Parents Children are more likely to be successful successf ul learners of mathematics when parents actively support their learning. By playing an active role in your child’s learning,  you will reinforce his skills and nurture a positive attitude towards mathematics. Take some time to go through these test-taking strategies with your child so that he becomes familiar with them. Help your child apply these strategies when taking mathematics tests. • Learn the vocabulary    Become familiar w with ith all mathematical mathematical terms that may appear in the test (for example area , remainder , speed , etc.) so that you understand what you are being asked to do. • Underline key words   Underline the key words after reading the problem carefully. Are you asked to find the sum? The angle measure? • Choosing the right option in a multiple-choice problem  Read the problem carefully then read all the answer options. Eliminate the options that you know are incorrect. If you are still unsure of the final answer, substitute the unknown in the problem with the remaining options and check if the answer is correct. • Identify the unnecessary information Word problems sometimes give you more information than you need to solve the problem. Seek what you need and ignore i gnore the unnecessary information. • Use problem-solving strategies  Often there is more than one way to solve a problem. Apply a strategy that works best for a problem, e.g. drawing a picture, making a list, etc. • Use your time wisely   Plan how much time you should spend on each problem. This helps ensure that  you have ample time to complete the test and do a thorough check of your work. work. • Check your work    When you have completed the test, go over as many problems as you can, making sure your answers are correct. Never rush through a mathematics test.

5 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Contents Topics Tested

   r    a    e     Y        d      i     M

1. Number Notation and Place Values Up to 100 000 2. Approximation and Estimation 3. Factors and Multiples 4. Number Patterns 5. Multiplication and Division 6. Tables and Line Graphs 7. Coordinate Geometry 8. Addition and Subtraction of Fractions 9. Fraction of a Set 10. Mixed Numbers and Improper Fractions 11. Angles and 8-Point Compass 12. Perpendicular and Parallel Lines 13. Properties of a Square and a Rectangle

Topics Tested 1. 2. 3. 4.    r    a    e     Y        f    o        d    n     E

Number Notation and Place Values Up to 100 000 Approximation and Estimation Factors and Multiples Multiplication and Division

5. and Line Graphs 6. Tables Coordinate Geometry 7. Fractions 8. Angles and 8-Point Compass 9. Perpendicular and Parallel Lines 10. Properties of a Square and a Rectangle 11. Decimals 12. Time: Seconds and the 24-hour Clock 13. Area and Perimeter 14. Symmetry 15. Tessellations 16. Patterns

Test Papers

Pages

Test A

7–18

Test B

19–30

Test C

31–42

Test D

43–54

Test Papers

Pages

Test E

55–68

Score

50 50 50 50 Score

50 Test F

69–82

50 Test G

83–94

50 Test H

95–108

50

Skills and Strategies Index ................................................... .......................... .................................................. .............................. ..... pages 109–116 Answer Key ..................................................................................................... pages 117–128 6 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

Mid-Year Test A Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. 40 000 + 500 + 6 = a. 40 506   b. 45 600   c. 40 000 506   d. 40 500 006

Use the grid to answer questions 5 and 6.  Jarvis is located at (8, 4) on the grid. (

)

10 9

2.         3.

    4.

 

Mr Barnes kilometers in his truck.drove What4237 is 4237 rounded off to the nearest hundred? a. 4000 b. 4200 c. 4300 d. 5000 ( )

Creek

8 7 6 5

Howell Pocono  Jarvis

4

27 × 40

Keene

3 2

a. 360 c. 1010 5 2  −  = 9 9 a. 7  9 c. 6   18

b. 828 d. 1080

1 0

(

)

1

2

3 4

5

6

8

9 10

5. Which city is located at (2, 5)?   a. Keene b. Pocono   c. Howell d. Jarvis ( ) b. 10

18 d. 1  3

(

6. Where on the grid is Creek located?   a. (8, 4) b. (5, 6)   c. (6, 8) d. (7, 8)

)

7 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

7

(

)

 

10. The figure is made up of perpendicular lines. How many right angles are within the figure?  

The table shows the rates for overnight delivery of packages.

   













Mass step not over 1 kilogram

2 kilograms 5 kilograms 10 kilograms 15 kilograms



















 

Rate

A B C D E

 

1 2

weighing 11  kilograms? a. Rate B

   

b. Rate C c. Rate D d. Rate E

11

a. 9 × 1 =1

 

b. 1 × 5 = 5

 

c. 3 × 13 = 3

 

d. 1 × 7 = 7

(

9. Which pair of numbers are factors of 42?   a. 4, 8 b. 5, 15   c. 6, 7 d. 9, 13 (

3 4 7

   

a. 30° c. 150°

6

5

b. 90° d. 180°

(

)

12. What is the greatest common factor of 8, 12, and 24?   a. 2 b. 4   c. 6 d. 24 (

)

) 13. 0 × 1 = 4

 

)

a. 0

b. 1

c. 1

d. 4

4

8 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

)

2

8

)

5

(

(

1

9

 

9

7

12  

10

8. Which number sentence is true?  

b. 4 d. 8

11. What is the measure of the angle formed by the hands on the clock?

7. Which rate applies to a package  

a. 2 c. 6

(

)

15. On Monday, 715 people went to the mall. On Tuesday, 892 people went to the mall. About how many people went to the mall in those two days?   a. 1200 b. 1400   c. 1500 d. 1600 ( )

14. Kim needs to collect 198 st stamps amps to redeem a prize. She has collected 47 stamps. About how many more stamps does she need to collect?   a. 50 b. 100   c. 150 d. 200 ( )

















 

 

 

For questions 16 to 34, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. 60 348 = 60 000 +

+ 40 + 8

 

Ans:

17. List all the factors of 16.  

Ans:

18. 1250 × 8 = Ans: 19. Construct 󰀯PQR using a protractor such that the   measure of 󰀯PQR = 55°. Mark and label the angle.

Q

R 9

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Use the grid to answer questions 20 and 21. 8

 

7 6 5 4 3 2 1 0

A

B

C

D

E

F

G

H

20. Draw the shape located lo cated at (C, 5).  

Ans:

21. Where on the grid is

located?

 

Ans:

22.Which line is parallel to Line RS? Q

 

T

S

R

 

Ans:

10 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

23. WXYZ is a square. Which two line segments are parallel?  

W

Z

X

Y

 

Ans:

The graph shows the daily temperature of a desert at 1.00 p.m. from Monday to Friday. Use the graph to answer questions 24 and 25. Daily Temperature at 1.00 p.m. 70    )

 

60

   C 50    °    (   e   r   u   t 40   a   r   e 30   p   m   e 20    T

10 0

Mon

Tue

W ed 



Thu

Fri

 

24. What was the temperature on Tuesday?  

Ans:

°C

Ans:

°C

25. What was the difference differen ce in temperature between Wednesday and Thursday?   11 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

26. What is the least common multiple of 9 and 27?  

Ans:

27. How many sixths are there the re in 22? 3

 

Ans: ° 

28. You are facing south. You need to turn through in a clockwise direction to face west.  

Ans:

°

29. There are 98 crates of orange juice in a truck. Each crate has 12 bottles of orange juice.   Write a number sentence to show the best estimate of the total number of bottles of orange juice in the truck.  

Ans:

30. Mr Breen bought 11 kilograms of cake flour and

2 1 2  kilograms of bread flour. How much flour did 2

he buy altogether?   Ans:

kg

31. The 20 2 0 members of a soccer team voted on a new mascot. 3 of them voted for the giraffe. How many 5

votes were for the giraffe?  

Ans:

12 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

votes

32. The board shows sho ws the distance of four trails.   1 3

Slimy Slope 3   kilometers 1 2

Hidden Hollow 3   kilometers 1

Mosquito’s Misery 3   kilometers  3

10

Mucky Way 3  kilometers 5

 

What is the total distance of Mosquito’s Misery and Mucky Way?

 

Ans:

km

33. Joan bought 3 jugs of milk. Each jug contained 2 liters of milk. She drank 3 of the milk during the week. 4

a. How mu much ch milk did Joan drink?    

Ans:

L

Ans:

L

b. How much milk was left?

 

34. Jamie went to a fair and bought a book of 50 tickets. Some rides needed 4 tickets while other rides needed 5 tickets. What was the maximum number of rides he could take?  

Ans:

13 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

rides

















 

 

 

For questions 35 to 41, each answer carries 1 point. Show your work clearly in the space provided.  Write your answer answer in the spa space ce provided.

35. Joe, Joe , Sally, and Tim took an exam where they were tested in English and Mathematics. Their scores    

are shown.  Joe’s scores English: 96 points Mathematics: 78 points

Sally’s scores English: 57 points Mathematics: 62 points

Tim’s scores English: 83 points Mathematics: 77 points

a. Complete the table. Name

 

 Joe Sally

English

Mathematics

78 points 57 points

Tim

   

b. Who had the best score in Mathematics? c. How many more points did Joe score than Sally in Mathematics? d. Who was the top scorer in the exam?

14 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

36. Alex has 25 guppies. He gives 3 of the 5

guppies to his friend.    

a. How many guppies does he give away? b. How many guppies does he have left?

37. A pawpaw has a mass of 980 grams. It is 7 times as heavy as a pear.    

a. What is the mass of the pear? b. What is the total mass of the two fruits?

15 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

38. There was a total of 360 passengers on a few buses traveling from Singapore to Penang. Midway, one of the buses broke down, leaving behind 1  of the 3 passengers. How many passengers finally reached Penang?

39. At a concert, there are 9 times as many boys as girls. girls . There are 5 times as many adults as girls.    

If there is a total of 34 740 people, a. how many boys are there? b. how many adults are there?

16 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. I think of a five digit whole number which is divisible by 5. There are 8 hundreds. The digit in the ten thousands place is 9. The digits in the thousands place and in the tens place are 1.    

a. What could the number be? b. If the number is also divisible by 10, what is the number?

17 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

41. Some workers installed streetlights along a straight

road which was 80 meters long. The distance between two streetlights was 5 meters. A streetlight was installed at each end of the road. How many streetlights did the workers install along the road?

18 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

Mid-Year Test B Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. 70 000 + 400 + 8 = a. 7480 b. 70 048   c. 70 408 d. 70 480 (

Use the grid to answer questions 6 and 7. Point P is located at (2, 8).

)

10

2. Miss Falco collected 8675 buttons for her collection last  year. What is 8675 rounded to the nearest hundred?   a. 8000 b. 8600   c. 8700 d. 9000 ( ) 3. 7896 ÷ 4 = a. 1479   c. 1964

9 7 6

R

5 4

b. 1874 d. 1974

T

3

(

Q

P

8

S

2

)

1

4. The number 40 is a multiple    

of . a. 3 c. 6

0 1

b. 4 d. 7

(

5. Which pair of numbers are factors of 56?   a. 7, 8 b. 4, 12   c. 9, 6 d. 5, 11 (

2 3

4 5

6 7

8

6. What is the location of Point R?   a. (2, 8) b. (8, 3)   c. (8, 6) d. (9, 6) ( )

)

7. Which point is located at (7, 8)?   a. P b. Q   c. R d. S ( )

)

19 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

8. 5 + 5  =

9 10

13. The figure is made up of unit

 

6 a. 1 2   3 c. 1 3   6

squares. What fraction of the figure is shaded?

6

b. 10

12 d. 10  36

(

)

9. Which fraction is equivalent to 3 12  ?    

a. 7   2 c. 2   3

b. 4 2 d. 6   2

  (

 

)

a.

b.

c.

d.

8 c. 5   16

b. 8

16 d. 5   8

(

)

 

band, 3  are boys. How many

     

band members are boys? a. 18 b. 48 c. 54 d. 60

4

(

)

12. Dolly’s bakery sold 512 muffins on Friday and 684 muffins on Saturday. About how many muffins were sold in those two days?   a. 1200 b. 1400   c. 1600 d. 1800 ( )

20 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

Section B

)

15. A Grade 4 class went to the Nature Center. They bought 124 entrance tickets. What other information do you need to know to find the cost of each ticket?   a. where the Nature Center was   b. what the exhibits in the Nature Center are   c. the name of the Nature Center d. the total amount of money spent on the tickets ( )

11. Of the 72 students in a school

 

(

14. Lonnie bought 4 packs of buttons. Each pack has 52 buttons. About how many buttons did he buy altogether?   a. 50 b. 100   c. 150 d. 200 ( )

10. Which shape has no parallel sides?  

a. 8  

For questions 16 to 35, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. Write the number 60 412 in words. wo rds. Ans: 17. 87 625 = 80 000 + 7000 +

+ 25 Ans:

18. Mr Evans drove 3295 kilometers last month. What is 3295 rounded to the nearest hundred? Ans: 19. 2372 × 4 = Ans: 20. What are the next three multiples of 5 in the pattern?  

6140, 6145, 6150,

,

, Ans:

21. 2 – 38  = Ans:

21 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

22. Construct 󰀯ABC using a protractor such that the

 

measure of 󰀯ABC

 

B

70 . Mark and label the angle.

C

23. What is the measure of the angle an gle formed by the hands of the clock? 11

12

1

10

 

2

9

3 8

4 7

6

5

Ans: 24. In 26 375, the difference between the value of the the digit 2   and the value of the digit 7 is . Ans: 25. What are the common factors of 9, 12, and 27? Ans: 26. What are the first two common multiples of 4 and 6? Ans:

22 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Richard asks students from three classes which flavor of ice cream they like. He puts this information in

°

a table. Use the table to answer questions 27 to 31. Class

Chocolate

Vanilla

Strawberry  

4A

17

5

18

9 12

19 6

12 21

4B 4C  

27. Which is the most popular flavor? Ans: 28. How many more students s tudents in Class 4B like vanilla flavor than chocolate flavor? Ans:

students

29. How many students in all like strawberry flavor? Ans:

students

30. Which class has the least number of students? Ans: 31. How many students are there altogether? Ans:  

23 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

32. Charlotte created a number pattern. What is the next number in the pattern?

students

 

2, 6, 18, 54, Ans:

33. Jill is facing f acing north-west. If she turns clockwise through 135°, she will face . Ans: 34. ABCD is a square. Find tthe he measure of 󰀯x . A

D x 

10°

C

B

Ans: 35. 2 1  ×  1  = A ×  1  + 1  ×  1 2

 

5

5

2

5

What is the value of A? Ans:

24 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Section C For questions 36 to 44, each answer carries 1 point.

°

 Write your answer answer in the spa space ce provided. Show your work.

36. a. Draw Line CD parallel to Line AB, passing through Point X.

B

  A X

 

b. Draw Line GH perpendicular to Line EF, passing through Point Y.

Y

 

F

E

  25 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

37. The graph shows the destinations visited by a number of students on their holidays.

Holiday Destinations of Students 45 40 35   s   t   n   e    d 30   u   t   s    f 25   o   r 20   e    b   m 15   u    N 10 5 0

     

Africa

Europe Asia America Destinations

a. How many students visited Africa? b. Which was the most popular destination? c. How many more students visited Asia than America?

26 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

38. A bag had 271 beads. Mrs Clark bought 16 such bags.

Mrs Thomson had 240 more beads than Mrs Clark.    

a. How many beads did Mrs Clark buy? b. How many beads did Mrs Thomson have?

39. Nathan packed 2400 commemorative coins into small cases. Each case had 8 coins. Nathan then packed the cases into boxes with 12 cases in each   box. How many boxes did Nathan use to pack all the cases of coins?

27 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. Timmy scored 76 points out of 100 points in his Science test. He scored 12 fewer points in his English test than in his Science Test. He scored

19 more points in his History test than in his English test.    

a. What was Timmy’s score for his History test? b. Complete the table. Test

Score

Science English History  

 

c. Timmy wanted to do better in his English test so that his total score would be 230 points. How

 

many more English test?points would he need to score in his

 

28 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

41. At King’s Cross Station, there were 644 passengers on the train. There were 3 times as many passengers on the train at Hanslow Station as at King’s Cross

Station. At Heathrow Station, there was a quarter of the number of passengers at Hanslow Station. How many passengers were on the train at Heathrow Station?

42. Hope used 1  of a piece of fabric to sew a dress. 4

She then used 1  of the piece of fabric to sew a 6

cushion cover. She had 70 meters of fabric left. What was the original length of the piece of fabric?

29 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

43. A four-digit whole number is divisible by 4 and is greater than 5000. The thousands digit is a multiple of 4. The digits in the thousands place and the tens place are the same.

   

The sum of the digits in the ones and hundreds place is 9. The ones digit is greater than the hundreds digit. What is the four-digit number? (Hint: For a number to be divisible by 4, the sum of 

 

the last two digits must be divisible by 4.)

44. Smith Street is 200 meters long. There are 51 trees from the start to the end of the street. All the trees are planted at an equal distance from one another. What   is the distance between every two trees?

30 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

Mid-Year Test C

Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. Claire collected 587 special edition dolls. What is 587 rounded to the nearest hundred?   a. 500 b. 580   c. 590 d. 600 ( ) 2.

3. What shape is located at (6, 3)?   a. b. c.

   

b. 6012 d. 19 539 (

(

)

4. Where on the grid is located? a. (7, 2) b. (3, 6)   c. (2, 3) d. (2, 7) ( )

501 ×  39 a. 1509 c. 12 539

d.

5. )

Use the grid to answer questions 3 and 4.

 

3  + 1  = 10 5 a. 4   15 c. 3   5

b. 2

15 d. 1   2

(

)

(

)

  6. 2 1  written as an improper

 is located at (5, 7).

4

8 7 6

 

5

 

4

fraction is a. 9  

4 c. 7   2

.

b. 3

4 d. 8   4

3 2 1 0 1

2 3

4 5

6 7

8 31

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Use the diagram to answer questions 7 and 8.

12. Which of the following angles formed has a measure that is greater than 90° but less than

K

270 ?

P

11

M

 

N

8. Which angle is less than 90°?   a. 󰀯NPM b. 󰀯KPN   c. 󰀯KLM d. 󰀯LMP ( 9. Which number has no other factors except 1 and itself?   a. 9 b. 10   c. 14 d. 17 ( 10. Which number is a common multiple of 4, 5, and 10?   a. 10 b. 20   c. 30 d. 50 (

 

 

2

9

3 8

7

6

5

4

b.

) c.

)

d. (

)

13. Mrs Lopez is making 205 cookies for a bake sale. She has made 68 cookies so far. About how many more cookies does she

)

11. There are 24 students in of them Ms Granger’s class. 12 are girls. What fraction of the students are girls? 2 c. 3   5

a.

 

7. Which line is parallel to Line KL?   a. PL b. LN   c. PM d. LM ( )

a. 1  

1

10

L

 

12  

   

have to make? a. 70 b. 90 c. 130 d. 170

(

)

14. What is the total number of Grade 4 students?   a. 124 b. 200   c. 276 d. 400 (

)

b. 1

3 d. 2   3

(

)

32 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

The table shows the number of Grade 4 students who passed or failed the exams. Use the table to answer questions 14 and 15.



Mid-term exam

Final exam

Number of students who passed

120

156

Number of students who failed

80

44















 

 

15. What is the increase in the number of students who passed their exam?  

a. c. 36 46

b. d. 40 112

 

For questions 16 to 31, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. Write the number 98 605 in words. Ans: 17. What is the value of the digit 1 in 71 225? Ans: 18. Arrange the numbers in descending order.  

41 708, 47 108, 58 017, 51 087 Ans:

33 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

19. The table shows the number of people who had bought bus tickets to various destinations in India. Which destination was the most popular?  

(

)

Destination

Number of people

Mumbai

2556

Goa

3278

New Delhi

1372

 Jaipur

5290

 

Ans: 20. 4058 × 7 = Ans: 21. The diagram shows two angles.

b  a 

     

a. Find the measure of 󰀯a  with  with a protractor. Ans:

°

Ans:

°

b. Find the measure of 󰀯b .

34 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

22. a. How many right angles are there in a 3  -turn? 4

Ans:

right angles

 

b. How many right angles are there in 3 3  turns? 4

Ans:

right angles

The line graph shows the number of mountain bikes sold by Adventure X Store in five weeks. Use the graph to answer questions 23 and 24.

 

  s   e24    k    i    b20   n    i   a   t 16   n   u   o12   m    f   o 8   r   e    b 4   m   u    N 0

Mountain Bikes Sold by Adventure X Store

1

2

3  Week 

4

5

23. In which week did the store not sell any mountain bike? Ans: 24. In which week was the increase in sales greater than any other week?

35 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Ans: 25. What are the common factors of 7 and 35?

Ans: 26. What are the next two numbers in the pattern?  

10, 19, 28, 37,

, Ans:

27. Amy bought 8 boxes of tiles. Each box has 1108 tiles.   How many tiles did she buy in all?  

Ans:

tiles

28. Bob is facing north-east. He turns two right angles clockwise. He is now facing

. Ans:

29. On Sunday, 715 people went to the mall. On Monday, 532 people went to the mall. About how many people went to the mall in the two days? Give your answer to the nearest hundred. Ans:

people

30. Chip spent 3  hour playing football and 3   hour 4

8

on his homework. How much more time did he spend playing football than doing his homework? Ans:

36 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

31. Look at the sum. The symbols even digits.

,

, and

represent different

hour

+ 8  

8

8

What are the possible values of the symbols? Ans:

= = =

















 

 

 

For questions 32 to 40, each answer carries 1 point.  Write your answer answer in the space space provided. Show your work.

32. Using a set square and a ruler, draw a line perpendicular to Line ST passing through Point Q.

T

Q

 

S

37 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

33. Janelle bought a tool kit at a store. It has a mass of    20 kilograms.

She removed two wrenches that had a mass of 3 1  kilograms each. 4

 

a. What was the total mass of the two wrenches? b. What was the mass of the tool kit in the end?

38 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

34. David, John, and Susy collected insects for a Science project. The number of each type of insects collected are shown. David

 John

Susy 

Ants — 50 Ladybugs — 16 Crickets — 25

 

Ladybugs — 16 Crickets — 28

Ants — 65 Ladybugs — 28 Crickets — 17

a. Complete the table. Name

Ants

Ladybugs

Crickets

David  John Susy  

 

b. How many more crickets than ladybugs did they collect?

39 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

35. There are 45 apple trees in an orchard. 5  of the 9 trees are flowering.  

a. What fract fraction ion of the apple trees are not flowering? b. How many apple trees are not flowering?

36. Blinky had 12 boxes of pressed flowers. Each box contained 25 pressed flowers.  

a. How many flowers did Blinky have altogether? b. Blinky put the flowers into albums. Each album had 9 flowers. How many flowers were left over?

40 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

37. Before a party, Janice mixed 1 1 liters of syrup with    

2 2 2  liters of soda. During the party, her guests drank 5 1 1  liters of the drink. 5

   

a. What is the volume of the drink Janice made? b. How much of the drink was left over in the end?

38. A contractor used 26 700 tiles to cover the floor of Office A. He used 2400 fewer tiles for Office B than Office A. 3500 more tiles were used for Office C than for Office B.  

a. How many tiles were used for Office B? b. How many tiles were used altogether?

41 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

39. Smith Road has 61 identical homes built at an equal distance from one another. The length of each house is 30 meters. What is the distance between every two houses, if Smith Road is 3570 meters long?

40. I am a two-digit whole number. I am between 80 and 100. Two of my factors are 6 and 8. What number am I?

42 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

Mid-Year Test D Section A

Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. 80 000 + 600 + 1 = a. 8610   b. 80 601   c. 80 661   d. 86 001

Use the grid to answer questions 4 and 5. 8

(

7

)

Z

3 X

2 1 0

1

2 3

4 5

6 7

8

4. Which point is located at (4, 2)?   a. W b. X   c. Y d. Z ( )

       

V

4

58 ×  43 a. b. c. d.

Y

5

2. Stella drove 607 kilometers last week. What is 607 rounded to the nearest ten?   a. 600   b. 610   c. 650   d. 700 ( ) 3.

W

6

2194 2474 2494 3558

(

5. Where on the grid is Point Y located?   a. (6, 5) b. (7, 3)   c. (2, 4) d. (3, 6) (

)

43 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

9. How many angles in the figure have measures that are greater than a right angle?

6. 5 − 3  = 8

 

8 a. 1   8 c. 1   3

b. 1

2 d. 1   4

(

)

)

7. Write 4 1  as an improper fraction.    

5

5 a. 9   c. 20   5

9 b. 5 d. 21   5

(

   

)

8. Mr James wanted to buy a barrel. He compared the amount of water each barrel could hold.  

 

   

Barrel

Capacity (l (liters)

A

18 3

B

17 9

C

18 1 3

D

17 7

b. 2 d. 4

(

)

10. Which pair of numbers are factors of 39?   a. 6, 7 b. 3, 13   c. 5, 8 d. 4, 9 (

)

11. Which is a common multiple of 3, 6, and 10?   a. 10 b. 18   c. 33 d. 60 ( )

4

10

12. When Emily rounded off the number of sew-on patches in her collection to the nearest hundred, she had 2500 patches. Which could be the actual number of patches in her collection?   a. 2449 b. 2461   c. 2550 d. 2599 ( )

8

Which barrel can hold the most water? a. Barrel A b. Barrel B c. Barrel C d. Barrel D (

a. 1 c. 3

)

44 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

13. In 2010, the population of Seychelles was 90 945. The population of the Cayman Islands was 54 878. About how many more people lived in Seychelles than in the Cayman Islands?

15. 7325 people went to the county fair on Saturday. 4190 people went to the fair on Sunday. 1    of the people on Saturday 5

 

and 1  of the people on Sunday

   

a. 20 000 c. 40 000

b. 30 000 d. 50 000 (

 

)

14. The mass of a box of persimmons   is 1 9  kilograms. About how 10 much would the mass of 300 such boxes be?   a. between 30 kg and 40 kg   b. between 50 kg and 60 kg   c. between 300 kg and 400 kg   d. between 500 kg and 600 kg ( )

       

2

were children. How many children were at the fair on Saturday and Sunday? 1 a.  × 7325 + 1  × 4190

5 2 b. 1  × 7325 + 1  × 4190 2 5 c. 1  × 7325 + 4  × 4190 2 5 d. 4  × 7325 + 1  × 4190 5 2

Section B For questions 16 to 35, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. Write sixty-seven thousand, nine hundred and nine as a numeral.   Ans: 17. 30 000 + 7000 7 000 + 8 = Ans:

45 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

18. Some of the factors of 20 are 1, 5, 10. What are the other three factors of 20? Ans: 19. Find the measure of the angle using a protractor.

(

)

Ans: 20. There are 3722 people living in the town of Wingate. What is 3722 rounded to the nearest hundred? Ans: 21. 2907 × 4 = Ans: 22. 3  + 7  = 5

10

Ans: 23. 6328 ÷ 4 = Ans:

46 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

24. Using a protractor, draw 󰀯ABC such that the measure   of 󰀯ABC =135°. Mark and label the angle.

°

A

B

Use the grid to answer questions 25 and 26. 1 step 1 step

C

F N E

B

G H

A D

25. Pete starts out at Point A. At which point will he be if he moves 3 steps west and then 1 step south? Ans: 26. Pete is now at Point E. He needs ne eds to reach Point H. What is the shortest route he can take? Ans:

47 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

27. I am facing east. If I turn 270° clockwise, I will face . Ans: 28. Write the first two common multiples of 6 and 8.

Ans: 29. What are the missing numbers in the pattern?  

, 21 160, 21 020, 21 120, 20 980, Ans:

30. What is the value of 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8? Ans: A survey was carried out on a group of students to find out their residential types. Use the table to answer questions 31 to 33. Residential type

Number of students

1-room apartment

5

2-room apartment

7

3-room apartment Terraced house

15 13

Bungalow

10

  31. How many students took part in the survey?

Ans:

students

48 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

32. How many fewer fe wer students live in 2-room apartments   than in 3-room apartments? Ans: 33. What is the difference differe nce between the number of students who live in the most common residential type and

students

the number of students who live in the least common residential type? Ans:

students

34. A car park has 12 rows of parking lots. There is an equal number of parking lots in each row. If there are 168 parking lots, how many cars can park in each row? Ans:

cars

35. The figure fi gure is made up of a square and a rectangle. How many right angles are within the figure?

Ans:

right angles

49 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Section C For questions 36 to 41, each answer carries 1 point. Write your answer in the space provided. Show your work.

36. Using a set square and a ruler,

 

a. draw a line parallel to the given line passing through Point A.

 

b. passing draw a line perpendicular through Point A. to the given line

A

37. There are 40 birds in a tree. 12 of the birds are sparrows.    

a. How many birds are not sparrows? b. What fraction of the birds are not sparrows?

50 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

38. There are 23 500 residents in Town X, 63 450 residents in Town Y, and 15 701 residents in Town Z. a. Complete the table.   Town

X

Number of residents

Y Z  

b. How many more residents are there in Town Y than in Town Z?

39. In a gym class, 1  of the students wear red jerseys, 4

 

1  of them wear blue jerseys, and the rest wear green 8

jerseys. There are 32 students in the class. How many students wear green jerseys?

51 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. Shelly builds bird houses to sell. She takes 1 1  hour 2 1   to build and  hour to paint each bird house. 2

   

a. How long does it take Shelly to complete 1 bird house? b. How long will Shelly take to complete 15 bird houses?

41. Susan had 5 kilograms of butter. She used 1  of it 8

to bake scones. She then bought another 1  kilogram 2

of butter. How much butter did she have in the end?

52 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

42. The line graph shows the number of people who owned the mobile phone model Ringping between 2006 and 2012. 1000   e

800

Number of People who Owned Ringping

  r   l   e  p    b  o   m  e   p   u    f    N   o

600 400 200

     

0 2004 2006 2008 2010 2012  Year

a. Between which two years was there a decrease in the number of people who owned the Ringping? How much was the decrease? b. In which year was the Ringping probably first introduced?

53 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

43. There were 300 boys and 372 more girls than boys on a field trip. After the field trip, the students boarded buses to take them back to school. Each bus could carry 40 students.  

a. How many students were on the field trip altogether? b. How many buses were needed to bring all the students back to school?

44. A two-digit whole number is between 10 a and nd 50. The number can be divided by both 4 and 5 without any remainder. The sum of its digits is 4. What is the number?

54 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

End-of-Year Test E Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter

in the parentheses ( ) provided.

1. Which number has no other factors except 1 and itself?   a. 8 b. 9   c. 13 d. 15 (

5. Which letter is symmetric?

 

5 d. 2   3

2 c. 3   5

b. 4.8 d. 480

c.

    (

3. Janice recorded on a piece of paper the mass of four cats. Which is the largest mass she recorded?   a. 2.69 kg b. 2.84 kg   c. 2.75 kg d. 2.96 kg ( 4. 8 × 0.6 = a. 0.48   c. 48

 

(

H G

 J F

 

b.

 

d.

 

(

)

5 0.10 a. c. 0.30

b. 10.20 d. 0.40

(

)

7. 25 × 2.40 = a. 6.00   c. 51.00

b. 15.00 d. 60.00

(

)

(

)

?

8. 0

)

1

2

 

a. 1 5  

b. 1.8

 

c. 1.5

d. 2 1  

6

6

)

55 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

The line graph shows the number of cars sold in four months. Use the graph to answer questions 9 and 10. Number of Cars Sold

  s   r   a80   c    f 60   o   r 40   e    b

)

6. Which decimal is equivalent to   2?

b. 2

a. 1  

a.

)

2. An oil tank can hold 250 liters of oil. The tank has 100 liters of oil in it now. What fraction of the tank is filled with the oil?  

 

12. Two parking lots are joined to form a big parking lot as shown. What is the perimeter of the new parking lot? 80 m 25 m

20

  m   u    N

0

 Jan Feb Mar Apr Month

80 m

9. Which two months had the same number of cars sold?   a. January and February   b. February and March   c. March and April   d. January and April ( )

   

10. How many cars were sold from  January to April?   a. 60 b. 80   c. 120 d. 160 ( )

13. Kelly poured 3.94 liters of milk into a 5-liter container. How much more milk can the container hold?

11. On Saturday, 6120 people went to the zoo to see the pandas. On Sunday, 8870 people went to see the pandas.

 

       

 

25 m

a. 105 m c. 420 m

b. 370 m d. 2000 m (

)

3.94 L 5L

Which should be usednumber to find sentence the best estimate of the total number of people who went to the zoo on both days? a. 6000 + 8000 = 14 000 b. 7000 + 8000 = 15 000 c. 6000 + 9000 = 15 000 d. 7000 + 9000 = 16 000 ( )

 

 

a. 0.06 L c. 0.96 L

b. 0.60 L d. 1.06 L

(

)

56 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

14. Cal bought these items at a store. About how much was the total mass he had to carry?

15. Nina fell asleep on the sofa at 16 15. She woke up at 17 45. For how long did she sleep?   a. 1 h 15 min   b. 1 h 30 min   c. 1 h 45 min   d. 2 h ( )

2.05 kg

   

1.98 kg

a. 2 kg c. 8 kg

1.10 kg

b. 5 kg d. 10 kg

(

)

Section B For questions 16 to 34, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. 2 3  turns make 4

right angles. Ans:

17. Which of the figures shown are symmetric?

 

A

B

C

D

Ans:

57 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Use the grid to answer questions 18 to 20. 7 6 5

X

V

N

4 3 2

W Y

1 0 A

Z B C D E

F G H

18. Which point is located at (F, 5)? Ans: 19. Where on the grid is Point Z located? Ans: 20. Which point is north-west of Point W? Ans: 21. State if the given line is a line of symmetry of each figure. Write Yes or No.  

a.

Ans:

58 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 

b.

Ans:

22. Complete the figure given that Line AB is a line of symmetry.

A

B

23. Color one unit shape of the tessellation.

 

59 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

24. State if the shape can tessellate. Write Yes or No.  

Ans: The table shows the number of juice boxes sold by

Aunt Minah in a school canteen. Use the table to answer questions 25 to 27. Day

Number of juice boxes sold

Monday

421

Tuesday

311

Wednesday

414

Thursday

335

Friday

215

25. On which day did she sell about 420 juice boxes? Ans: 26. What is the total number of juice boxes she sold from Monday to Wednesday? Ans:

juice boxes

27. What is the difference between the greatest number of juice boxes sold and the smallest number of juice boxes sold? Ans:

juice boxes

60 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

28. A new book weighs 19.95 grams. About how much is the mass of 50 such books? Round your answer to the   nearest whole number. Ans: 29. John started doing his homework at 09 35. He took 2 hours 45 minutes to do his homework. At what   time did he finish his homework?

g

Ans: 30. A crate containing gym equipment and books has a mass of 100 kilograms. 15.75 kilograms of gym equipment and 25.5 kilograms of books were removed from the crate. What was the total mass of the crate and the remaining gym equipment and books? Ans:

kg

31. Lily pasted a ribbon along the edges of the square card shown. She then tied the ends of the ribbon into a bow. If she used 20 centimeters to tie the bow, what was the total length of the ribbon Lily used?

Happy Birthday Area = 25 cm2

Ans:

61 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

32. Complete the pattern given that Line AB is a line of symmetry. B

cm

A     33. The line in the figure is a line of symmetry. Draw and shade the figure correctly to make a symmetric pattern.

  34. Greg made this pattern with grey and white tiles. Complete the pattern by drawing the missing tile in the box given.

?

   

Ans: 62 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

 

Section C For questions 35 to 44, each answer carries 1 point.  Write your answer answer in the spa space ce provided. Show your work.

35. Use the given shape to make a tessellation in the   space provided by drawing 5 more unit shapes.

  36. A barrel had 12  liters of grape juice. 1  of the juice 4 was sold.  

a. How much grape juice was left in the barrel?

 

b. If 2  3  liters of grape juice were added to the barrel, 10

how much grape juice was in the barrel finally?

63 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

37. The table shows the time taken by three friends to complete a race.

 

Name

Time taken

 Joe

1 minute 6 seconds

Min

1 minute 15 seconds

Carl

57 seconds

 

a. Who won the race? b. How much longer did Min take to complete the race than Joe?

38. Abby’s soccer game started at the time shown.   12   1 11 10

2

9

3 8

4 7

   

6

5

a. At what time did the game start if the clock was 10 minutes slow? b. If the game lasted 1 hour 15 minutes, at what time would the game end using the 24-hour clock?

64 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

39. a. What are the next two numbers in the pattern? Explain your answer.  

82, 90, 106, 130

 

 

b. If the pattern continues, draw the 10th shape. Explain your answer.

1st

2nd

3rd

4th

5th

65 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. The figureWhat shows Mr Cohn plans to build. is the the new area deck of thethat deck? 20 m

15 m

9m

 

12 m

 

66 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

41. Jack is 1.63 meters tall. as Kate 0.25 meter than Jack. If Sam is half tallisas Kate, howtaller tall is Sam?

42. John dug a square pond in his garden as shown.  

a. What is the length of the pond? b. What is the perimeter of his garden now? 15 m

12 m

64 m2 Pond Garden

67 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

43. Grandpa fewer than 20 fingerpuppets, puppets.he If he gave each of hishad grandchildren 3 finger would have 2 finger puppets left. If he gave each grandchild 4 finger puppets, he would be short of 3 finger puppets. How many finger puppets did he have?

44. I am a four-digit even number. My hundreds digit is 3 times my ones digit. My tens digit is 2 more   than my hundreds digit. My thousands digit is   divisible by 5. What number am I?

 

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Date:

End-of-Year Test F Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. Darey earned 14 685 points on

5. Suppose that each figure can be

his membership card at a game center. What is the value of the digit 6 in 14 685? a. 60 b. 600 c. 6000 d. 60 000 ( )

    2.  

65  = 100

a. 0.065

b. 0.65

c. 6.5 c.

d. 65

(

folded along the given line. In which figure will the two folded parts match exactly?  

b.

c.

d.

)

(

)

(

)

(

)

  6. Which decimal is equivalent to 1 ?

3. At a grocery store, Mara found four watermelons of different masses. Which is the greatest mass?   a. 2.48 kg b. 2.55 kg   c. 2.69 kg d. 2.63 kg ( ) 4. 13.28 + 9.7 = a. 21.98 b. 22.35   c. 22.98 d. 23.08

a.

4

   

a. 0.20 c. 0.45

b. 0.25 d. 0.50

7. Which pair of numbers are (

   

)

factors of 45? b. 5, 9 a. 4, 11 c. 6, 7 d. 8, 10

69 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

The Jimbo facing8the park.diagram Use it toshows answer questions and 9.

11. Line ABofis the the following line of symmetry. Which completes the symmetric pattern?

Main road A Home

Park

 

B

 

Playground

8. If Jimbo turns 180° clockwise, where will he face?   a. main road   b. park   c. playground   d. home (

a.

  b.

)  

9. In which direction should Jimbo turn so that he faces the main road in the quickest way?   a. 90° clockwise   b. 90° anticlockwise   c. 180° clockwise   d. 180° anticlockwise ( )

c.

  d.  

10. Of 160 students, 32 students

(

)

have brothers in students the family. Whattwo fraction of the have two brothers in the family?    

a. 1  

b. 1

5 c. 1   4

3 d. 1   6

(

)

70 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

12. Kerry has aupyard her bunnies. It is made of afor square and a rectangle. What is the perimeter of the yard?

30 m

 

20 m

14. Hannah milliliters of paint. had She 100.65 used 64.8 milliliters of paint on a poster and 28.65 milliliters of paint on a card. How much paint did she have left?   a. 7.2 ml   b. 35.85 ml   c. 72.00 ml   d. 93.45 ml ( )

   

a. 50 m c. 130 m

b. 80 m d. 600 m

(

15. Louis made this pattern with some tiles. Which tile fits the empty space to complete the pattern?

)

13. To participate in a contest, each adult needs 7 points and each child needs 5.5 points. If 25 adults and 10 children participate in the contest, how many points will be needed? a. 55 b. 175 c. 225 d. 230 (

   

?

  )  

a.

b.

c.

d. (

71 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

















 

 

 

For questions 16 to 33, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. 14.85 + 7.7 = Ans: 17. Color one unit shape of the tessellation.

)

  18. State if the shape can tessellate. Write Yes or No.

  Ans:

72

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

19. David reached home after school and his digital watch displayed 15 45. What time is this using the 12-hour clock? Ans: The bar graph shows the number of books sold by Famous Book Store from Monday to Friday. Use the graph to answer questions 20 and 21. Books Sold by Famous Book Store 44

40 36   s    k32   o   o28    b    f 24   o   r   e 20    b   m   u 16    N

12 8

4 0

Mon

Tue

Wed Day 

Thu

Fri

20. Complete the table.   Days

Monday

Tuesday

Wednesday

Thursday

Number of books sold

  21. On which days were an equal number of books sold?

Ans: 73

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

22. A bottle2.695 of milktocontained 2.695 liters of milk. Round one decimal place. Ans: 23. State if the figure is symmetric. Write Yes or No.

Ans:

Friday

24. Mrs Dolan drove 285 kilometers on Monday, 390 kilometers on Tuesday, and 205 kilometers on Wednesday.  

a. About how much further did Mrs Dolan drive on Tuesday than on Wednesday? Round your answer to the nearest hundred kilometers. Ans:

 

km

b. Estimate the distance she drove altogether. Round  your answer to the nearest hundred kilometers. Ans:

km

25. The time when Maggie woke up in the morning is shown on the clock. She had slept for 8 hours 30 minutes. At what time did Maggie go to bed the night before? Give your answer using the 24-hour clock. 11

12  

1

10

2

9

3 8

4 7

6

5

Ans: 74

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

26. What is the difference in mass between the heaviest and the lightest objects?

0.39 kg

2.85 kg

0.24 kg

Ans: 27. Zack had twice as many cards as Jen. How many

kg

cards did both of them have in all if Jen had 1256 cards? Ans:

cards

28. What is the measure of the angle formed by the hands of a clock at 5 o’clock as shown?   11 12

1

10

2

?

9 8

3 4

7

6

5

Ans: 29. ABCD is a square. Find the sum of the measure of

°

 and 󰀯y .  and

󰀯x 

D

A

x 

y 

58°

C

B

Ans: 75 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 3

1 1 3 1 30. 3 4  ×  2  = P ×  2  + 4  ×  2  

What is the value of P? Ans: 31. Complete the figure given that Line AB is a line of symmetry. A

°

B

32. Draw to continue the pattern.

  Ans: 33. What are the values of A and B in the pattern?   5

3

4

8

9

17

19

18

A

B

  Ans: A = B= 76 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

















 

 

 

For questions 34 to 44, each answer carries 1 point.  Write your answer answer in the spa space ce provided. Show your work.

34. Complete the tessellation by drawing 4 more unit shapes.  

35. a. Color one unit shape of the tessellation.   b. Complete the tessellation by drawing 6 more unit shapes.

 

77 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

36. Mr Bunker fell asleep in the afternoon at the time shown. He woke up 1 hour and 30 minutes later. At what time did he wake up? Give your answer using the 24-hour clock. 11

12  

1

10

2

9

3 8

4 7

6

5

37. Kelly gave 3  of her stickers to Charlie. She had  

4 How many stickers did she 6 stickers left. give Charlie?

78 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

38. Use the given shape to make two different tessellations.

 

a.

b.

  39. Jug A has 2 1 liters of orange juice and Jug B has 5

 

1.5 liters of orange juice. a. How much more orange juice does Jug A have than Jug B? b. What is the total amount of orange juice in the two jugs?

79 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. Dennis’ square garden had an area of 49 square   meters. How much fencing would he need if he   wanted to fence up the garden completely?

41. Mrs Li bought 6.28 kilograms of carrots. Mrs Chan bought 1  of that amount. Mrs Ho bought 2 times  

as much 4carrots as Mrs Chan. How many kilograms of carrots did Mrs Ho buy?

80 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

42. Amy framed the picture shown and hung it on her wall. The frame formed a border around the picture. The area of the square frame is 144 square centimeters. What is the area of the picture? 3 cm 2 cm

2 cm

3 cm

81 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

43. a. What is the perimeter of the figure?   b. What is the area of the figure? 4 cm

5 cm 10 cm

 

44. A baker 404muffins. he Ifpacks 5 muffins into one has box,fewer he willthan have muffins Ifleft. he packs 7 muffins in each box, he will be short of 6 muffins.   How many muffins does the baker have?

82 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

End-of-Year Test G Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

1. Which   a. 7 number isb.a 8factor of 36?   c. 9 d. 13 ( )

5. Which figure shows a line of symmetry?

a.

b.

c.

d.

2. Of the 120 cars in a parking lot, 24 are blue. What fraction of the cars in the parking lot are blue?  

a. 1  

b. 1

 

c.

d.

5 1

 

4

3 1

(  

(

) 6. Kippy wrote down the mass of four of his friends. Which is the lightest mass?   a. 34.01 kg b. 42.65 kg   c. 34.10 kg   d. 45.26 kg ( )

6

3. 9 × 0.7 = a. 0.63   c. 63

b. 6.3 d. 630

(

)

4. Tina had 0.6 meter of ribbon. What fraction of a meter of ribbon did she have?    

2 a. 3  m c. 3  m 4

1 b. 2  m d. 3  m 5

)

7. What number is shown on the number line? ?

(

)

0

1

2

 

a. 1  

b. 1.5

 

c. 2 2  

d. 2.2

2

5

3

(

)

83 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

The line graph shows the number of students at Camp Adventure for the past five months. Use the graph to answer questions 8 and 9.   s   t   n   e    d   u   t 200   s    f   o150   r   e100    b   m 50   u    N 0

 Attendance at Camp  Attendance  Adventure

Mar Apr May Jun Month

Jul

11. Tailor Smith used 5126.32 meters of fabric on Saturday and 9928.28 meters of fabric on Sunday. Which number sentence should be used to give the best estimate of the total length of fabric he used?   a. 5000 + 9000 = 14 000   b. 6000 + 9000 = 15 000   c. 5000 + 10 000 = 15 000   d. 6000 + 10 000 = 16 000   ( )

12. Kiki buys 4.38 liters of juice and Nicky buys 3.29 liters of juice. How much juice do they buy in all?   a. 1.09 L b. 7.57 L   c. 7.67 L d. 8.67 L ( )

8. In which two months was there an equal number of students at the camp?   a. March and May   b. May and July    

c. March and July d. April and June

(

13. Jen’s plane took off at 11 35. The time the plane landed is shown on the clock. How long was the flight?

)

9. What was the greatest increase in the number of students between two months?   a. 40 b. 60   c. 75 d. 120 ( )

11

12  

1

10

2

9

3 8

10. Chet delivers 36 to 43 newspapers every week on his paper route. About how many newspapers does he deliver in 4 weeks?   a. 120 b. 140   c. 160 d. 180 ( )

4 7 6

         

5

a. b. c. d.

1 h 35 min 2 h 25 min 10 h 25 min 10 h 35 min

(

)

84 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

14. Sharon had 62.75 meters of ribbon. Kayla’s ribbon was 15.45 meters shorter than hers. How long was Kayla’s ribbon? a. 47.30 m b. 57.30 m c. 77.30 m d. 78.20 m ( )

       

















 

 

15. A square field has an area of    

144 square meters. What is the perimeter of the field? a. 12 m b. 24 m c. 32 m d. 48 m ( )

 

 

For questions 16 to 35, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. Write 7 thousands 14 hundreds as a numeral. Ans: 17. In 24 012 + 15 789 =

, what is the place value

of the digit 8 in the answer? Ans: 18. State if the shape can tessellate. Write Yes or No.

Ans: 19. Write 2 4  as an improper fraction. 9

Ans:

85 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

20. Color one unit shape of the tessellation.

Ans: 21. Color more squares to show forty-five hundredths shaded.

22. How many right angles are there within the shape?

Ans:

right angles

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23. On a certain day, a reservoir holds 36 527 liters of water. About how many thousands is 36 527? Ans: 24. At a track-and-field meet, the top five runners finished the 100-meter hurdles race in the times shown.    

18.84 seconds 18.81 seconds

 

Arrange the times in order. Begin with the fastest time. Ans:

18.63 seconds 18.74 seconds

18.70 seconds

thousands

25. State if Line AB in the figure is a line of symmetry. Write Yes or No. A

B

 

Ans: 26. What are the common factors of 26 and 30? Ans:

87 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

27. Color more squares to show 3  of the figure is shaded. 5

  28. Sheena started baking her pie at 17 30. She finished baking at 18 45. How long did Sheena take to bake the pie? Ans: 29. Complete the figure given that Line CD is a line

h

min

of symmetry. C

D

30. The line in the figure is a line of symmetry.   Draw and shade the figure correctly to make   a symmetric pattern.

  88 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

31. A laptop has a mass of about 2.75 kilograms. About how much is the mass of 86 such laptops? Ans:

kg

32. The rectangular carpet in Simon’s bedroom has an area of 48 square meters. If the length of the carpet is 12 meters, what is its breadth? Ans: 33. Kumar was facing east. He made a 12  -turn in the clockwise direction. Then he made a 135°-turn clockwise. Which direction was he facing after making the turns?

m

Ans: 34. Draw to continue the pattern.

 

35. In a box, 253 red buttons were mixed with 327 pink buttons. These buttons were then divided into packets of 20 buttons each. How many packets of buttons were there? Ans:

89 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

















 

 

 

For questions 36 to 43, each answer carries 1 point.  Write your answer answer in the spa space ce provided. Show your work.

36. The table shows the number of bottle caps collected by Ali, Beck, and Cindy.

 

Name

Number of bottle caps

Ali

251

Beck

326

Cindy

125

packets

     

a. Who collect collected ed the most b bottle ottle cap caps? s? b. How many fewer bottle caps did Cindy collect than Ali? c. How many bottle caps did the three children collect together?

90 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

37. a. Complete the tessellation by drawing 6 more unit shapes.

 

b. Use the unit shape above to make a different tessellation.

 

91 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

38. Jimmy’s swimming lesson started at the time shown on the clock. His lesson ended 1 hour 30 minutes later. 11

12  

1

10

2

9

3 8

4 7

6

5

 

a. At what time did the lesson end?

 

b. If Jimmy’s watch was 10 minutes fast, what time would the watch show when the lesson ended? Give your answer using the 24-hour clock.

39. A box had 60 biscuits. 3  of them were wholegrain 5 1 biscuits and  were rolled biscuits. The rest were 4

 

cheese biscuits. a. How many wholegrain and rolled biscuits were there? b. How many cheese biscuits were there?

92 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. a. What is the area of the figure?  

b. What is the perimeter of the figure? 5 cm 2 cm 10 cm 12 cm

 

4 cm

10 cm

41. There are 6275 adults and children watching a soccer game at a stadium. There are 3275 more adults than children. There are 775 fewer male adults than female adults.    

a. How many adults are there at the stadium? b. How many male adults are there at the stadium?

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42. A photo frame measures 15 centimeters by 10 centimeters. is placed in around it, leaving a borderAofphotograph 2 centimeters wide all it. 2 cm 2 cm

2 cm 10 cm

2 cm 15 cm

 

What is the area of the border?

43. There are 315 children in Group A and 419 children in Group B. How many children must be moved from Group B to Group A so that the two groups have an equal number of children?

94 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Date:

End-of-Year Test H Section A Questions 1 to 15 carry 1 point each. For each question, choose the correct answer and write its letter in the parentheses ( ) provided.

Use the grid to answer questions 1 and 2. 10 9 8

3. In June, a factory manufactured 27 691 computer parts. What is the value of the digit 7 in 27 691?   a. 7 b. 70   c. 700 d. 7000 ( )

A

7

E

4. Which of the following shapes can tessellate?

6 5

B

 

4 3

D

2

C

1 0

1

2 3

4 5

6 7

8

9 10

a.

b.

c.

d.

(

)

(

)

(

)

5. Which figure shows thirty-six hundredths shaded? a. b.

1. What are the coordinates of Point D? )

 

2. Which point is located at (3, 7)?   a. Point A b. Point B   c. Point C d. Point E ( )

 

 

a. (4, (3, 4) 8) c.

b. (4, d. (8, 2) 3)

(

c.

d.

95 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

11. Tim’s clock stopped one

6. Which word has a line of  

symmetry? a. DAVE

 

b. TORI

   

afternoon the time shown. The correctattime was 18 05. For how long had the clock stopped working? 11

c. OTTO d. CHER  

1 2

10

(

9

)

3 8

4 7

7.    

12  

Which of pair of numbers are factors 54? a. 1, 26 b. 3, 19 c. 4, 18 d. 9, 18 (

)

       

a. b. c. d.

6

2 h 20 min 3 h 45 min 4 h 25 min 8 h 15 min

5

 

a. 7.25 c. 8.03

9. 4  28.12   a. 6.03   c. 7.03

b. 7.70 d. 8.30 b. 6.93 d. 7.3

(

(

12. A car travels 68 kilometers on every liter of gasoline. Its tank holds 10.6 liters of gasoline. About how far can the car go on

)

       

)

10. Li Chin came home from school and napped for 2 hours 15 minutes. If she woke up at 16 05, at what time did she take her nap?   a. 01 20 b. 01 50  

c. 13 50

d. 14 05

(

the tank of gasoline? a. 7 km b. 70 km c. 700 km d. 7000 km

(

)

13. Which number sentence is true?  

a. 1 + 1  = 2 2

1

)

       

2

×

b. 2    0 = 0 c. 3  × 1 = 1

4 d. 1  × 3  = 1 ×  2   2 4 4 3

(

)

96 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

14. Susy needs to post two parcels to her sister in Canada. Parcel A has a mass of 5.62 kilograms. The mass of Parcel B is 3 times the mass of Parcel A. What is the mass of Parcel B?   a. 2.62 kg   b. 8.62 kg   c. 16.86 kg d. 22.86 kg ( )

15. Tiki needs to fence up her garden so that her bunnies would not hop away. How much fencing does she need? 15 m

5m 14 m 7m 5m

   

a. 22 m c. 72 m

5m

b. 37 m d. 105 m

(

)

Section B For questions 16 to 32, each answer carries 1 point.  Write your answer answer in the an answer swer blank provided.

16. In a race, four swimmers finished with these times. Arrange the swimmers in order. Begin with the swimmer with the fastest time.  James Rosa Lily Rafael

30.42 seconds 30.64 seconds 30.33 seconds 30.71 seconds

Ans: 17. Write 35 as a mixed number. 8

Ans:

97 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

18. Color one unit shape of the tessellation.

19. State if the line in the figure is a line of symmetry. Write Yes or No.

Ans: 20. State if the figure is a symmetric figure. Write Yes or No.

Ans: 21. 5.6 × 0.4 = Ans: 98 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

22. Using a protractor, draw 󰀯ABC such that the   measure of 󰀯ABC = 45°. Mark and label the angle.

A

B

23. The test scores of three students are shown.   Tara

May

Zoe

Score:

 

30 50

Score:

77 100

Score:

66 100

a. Complete the table. Name

Score

Tara Zoe May

 

b. Who scored the highest?

Ans:

c. If Zoe wanted to score 80 points in the test, how many points was she short of? Ans:

points

99 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

24. Write the first two common multiples of 9 and 6. Ans: 25. Complete the pattern. 7126, 7132, 7138,

,

, Ans:

26. A tray has 32 brown eggs and 28 white eggs. What fraction of the eggs in the tray are white? Ans: 27. A new magazine has a mass of 199.56 grams. About how much is the mass of 50 such magazines?

Ans: 28. Steve works 7.35 hours a day at a fast food restaurant. About how many hours does he work in 42 days? Ans: 29. Complete the figure given that Line AB is a line of symmetry. A

B

100 10 0 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

30. Cole spent 2 hours 15 minutes mowing a lawn. He started at 16 30. At what time did he finish mowing the lawn? Ans: 31. Draw to continue the pattern.

P

Q

? R

Ans: 32. Zen is standing at Point A. He wants to move to different points on the grid. Describe the least number of steps he has to take and the direction for each move.

kg

h

 

Example: To move from Point A to Point C, he moves 3 steps to the east. F

E

D

G

N C

A

B 1 step H

  

1 step

a. From Point A to Point D Ans: b. From PPoint oint F to Point B Ans: 101 10 1 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

 

Section C For questions 33 to in 42,the each answer carries 1 point.  Write your answer answer space space provided. Show your work.

33. Complete the tessellation by drawing 3 more unit shapes.

 

102 10 2 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

34. JollyBee Primary School has a dental clinic. Every day a number of students have their teeth checked by the   dental nurse. The nurse checked 68 students in January, 51 students in February, 66 students in March, and 15 fewer students in April than in March. a. Complete the table using the information provided.   Month

Number of students

 January February March April

 

b. The dental nurse checked an equal number of students in two of the months. How many students

were checked altogether in those two months?

103 10 3 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

35. Derik hammered a quarter of a 8-centimeter nail into the wall.    

a. What fraction of the nail is in the wall? Express  your answer as a decimal. b. What length of the nail is left to be hammered into the wall?

36. Jasmine’s puppy has a mass of 8.06 kilograms and Kera’s puppy has a mass of 5.2 kilograms. a. How mu much ch heavier is Jasmine’s puppy than Kera’s puppy?   b. What is the total mass of the two puppies?

104 10 4 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

37. Kumar jogged 2.85 kilometers on Monday. He jogged 0.55 kilometers more on Tuesday than on Monday. On Wednesday, he jogged 2.75 kilometers. If he wanted to jog a total of 12 kilometers from Monday to Thursday, how far must he jog on Thursday?

38. Use the given shape to make two different tessellations.  

a.

b.

 

105 10 5 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

39. The figure is made up of four identical squares and a rectangle. The length of the rectangle is twice the length of a square. The breadth of the rectangle is equal to the length of a square.   a. What is the length of AB?   b. What is the perimeter of the figure?  

6 cm A

? cm

B

106 10 6 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. Tiles measuring 10 centimeters by 8 centimeters are arranged as shown. 10 cm 8 cm

   

a. What is the perimeter of the figure? b. What is the area of the figure

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41. Arrange 16 identical circles to fit exactly into a square.   How many circles are there on each side of the square?

42. A square piece of paper of side 14 centimeters has four identical square corners cut out. What is the area of the remaining paper?

2 cm 2 cm

108 10 8 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Skills and Strategies Index  Mid-Year Test ASkills WHOLE NUMBERS 1 Number notation and place value 2 Approximation and estimation 3 Factors and multiples 4 Patterns 5 Mu Multltip ipli lica cati tion on by a nnum umbe berr up up to to 2 digits 6 Divis ivisio ionn b byy a 1-di 1-digi gitt nnum umbe berr 7 Word problems STATISTICS 8 Tables and line graphs 9 Coordinate geometry FRACTIONS 10 Addition and subtraction of fractions 11 Fraction of a set

Knowledge Q1, Q16 Q2 Q9, Q17

Comprehension

Application

Q12, Q26, Q40

Q34

Q14, Q15, Q29,

Q41

Q3, Q18

Q37, Q39 Q7, Q24 Q5, Q6, Q20, Q21

Q25, Q35

Q4 Q8

Q32 Q13

12 13

Mi Mixe xed d nnum umbe bers rs an and d im impr prop oper er fractions Word problems

GEOMETRY 14 A Anngles 15 8 8--point compass 16 Perpendicular and parallel lines 17 Pr Prop oper erti ties es of a ssqu quar aree a and nd a rectangle Strategies 1 Draw a model 2 Work backwards 3 Draw a diagram

Q27 Q30, Q31, Q33, Q36, Q38 Q10, Q19

Q11 Q28

Q22 Q23 Knowledge

Comprehension Q37, Q39 Q40

Application

Q41

109 10 9 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Mid-Year Test B Skills WHOLE NUMBERS 1 Number notation and place value 2 Approximation and estimation 3 4 5 6 7

Factors and multiples Patterns Mu Multltip iplilica cati tion on by a nnum umbe berr up up tto o2 digits Division by a 1-digit number Word problems

Knowledge

Comprehension

Q1, Q16, Q17 Q2, Q18

Q24

Q4, Q5 Q20 Q19

Q25, Q26 Q32

Q12, Q14, Q15, Q38, Q39

Tables and line graphs

9 Coordinate geometry FRACTIONS 10 Ad Addi diti tion on and and sub ubtr trac acti tion on of frac fracttio ions ns 11 FFrraction of a set 12 Mi Mixe xed d nu numb mbers ers an and d im impr prop oper er fractions

Q43

Q3

STATISTICS 8

Application

Q27, Q31, Q28, Q37, Q29, Q30, Q40 Q6, Q7 Q8, Q21 Q13, Q35 Q9

Q44

13 Word problems GEOMETRY 14 Angles Q22 15 8-point compass 16 Perpendicular and parallel lines Q10, Q36 17 Properties of a square and a rectangle Strategies Knowledge 1 Draw a model 2 Work backwards 3 Draw a diagram

Q11, Q41

Q42

Q23 Q33 Q34 Comprehension Application Q38, Q39, Q41 Q42 Q43 Q44

110 11 0 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Mid-Year Test C Skills WHOLE NUMBERS 1 Number notation and place value 2 Approximation and estimation 3 Factors and multiples 4 Patterns 5 Mu Multltip ipli lica cati tion on by a nu numb mber er uup p tto o2 digits 6 Divi Divisi sion on by a 1-di 1-digi gitt numb number er 7 Word problems

Knowledge Q16, Q17, Q18 Q1 Q9

Comprehension

Q10, Q25 Q26

Q40 Q31

Q13, Q27, Q29, Q36, Q38

Q39

Q2, Q20

STATISTICS 8

Tables and line graphs

9 Coordinate geometry FRACTIONS 10 Addition ion and subtraction of fra fractions 11 Fr Frac acttion ion of a set 12 Mixe Mixed d nnum umbe bers rs an and d iimp mpro rope perr fractions 13 Word problems

Application

Q19, Q23

Q14, Q15, Q24, Q34

Q3, Q4 Q5 Q6 Q11, Q30, Q33,

Q35, Q37 GEOMETRY 14 Angles Q8, Q21 15 8-point compass Q22 16 Perpendicular and parallel lines Q7, Q32 17 Pro Proper pertie tiess o off a squ square are and a rrect ectang angle le Knowledge Strategies 1 Dr D raw a model 2 Draw a diagram 3 Make a systematic list

Q12 Q28

Comprehension Q36, Q38

Application Q39 Q40

111 11 1 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

Mid-Year Test D Skills

Knowledge

WHOLE 1 NuNUMBERS mber notation and place value 2 Approximation and estimation 3 Factors and multiples 4 Patterns 5 Mu Multltip ipli lica cati tion on by a nnum umbe berr uup p tto o2 digits 6 Division by a 1-digit number 7 Word problems STATISTICS 8 Tables and line graphs

Q1, Q16, Q17 Q2, Q20 Q10, Q18

9 Coordinate geometry FRACTIONS 10 Add ddit itio ionn and and su subt btra ract ctio ionn of frac fracttio ions ns 11 Fra racctio ionn o off a set 12 Mixe Mixed d nnum umbe bers rs an and d iimp mpro rope perr fractions 13 Word problems

Q4, Q5

Comprehension

Application

Q12 Q11, Q28 Q29, Q30

Q44

Q13, Q34

Q43

Q3, Q21 Q23

Q31, Q32, Q33, Q38, Q42

Q6, Q22 Q7, Q8 Q14, Q15, Q37, Q39, Q40, Q41

GEOMETRY 14 Angles Q9, Q19, Q36 15 8-point compass Q25 16 Perpendicular and parallel lines Q36 17 Properties of a square and a rectangle Strategies Knowledge 1 Draw a model 2 Make a systematic list

Q26, Q27 Q35 Comprehension Application Q39 Q43 Q44

112 11 2 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

End-of-Year Test E Skills WHOLE NUMBERS 1 Number notation and place value 2 Ap Appr prox oxim imat atio ionn a and nd es esti tima mati tion on 3 Factors and multiples 4 Patterns 5 Word problems STATISTICS 6 Tables and line graphs

Knowledge

Comprehension

Application Q44

Q1 Q39a Q11 Q9, Q25

7 Coordinate geometry FRACTIONS

Q18, Q19

8 Fraction of a set 9 Mixe Mixed d nnum umbe bers rs an and d iimp mpro rope perr fra fract ctio ions ns 10 Word problems GEOMETRY 11 Angles 12 8-point compass 13 Symmetry 14 Tessellations 15 Patterns

Q2

Q43

Q10, Q26, Q27, Q37 Q20

Q36

Q16 Q5, Q17, Q21 Q23, Q24

Q22, Q32, Q33 Q35 Q39b

Q34

16 Pro Proper pertie tiess o off a squ square are and a rrect ectang angle le DECIMALS 17 Number notation and place value 18 Co Conv nver ersi sion on be betw twee eenn dec decim imal alss and fractions 19 Approximation and estimation 20 Four operations of decimals 21 Word problems

Q3 Q6

Q8

Q14 Q4, Q7 Q13, Q28, Q30, Q41

MEASUREMENTS 22 Time 23 Area and perimeter

1 2 3 4

Strategies Look for a pattern Draw a model Make a systematic list Work backwards

Q15, Q29, Q38 Q12, Q31, Q40, Q42 Knowledge

Comprehension Q39a, Q39b Q41

Application

Q43 Q44

113 11 3 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

End-of-Year Test F Skills WHOLE NUMBERS 1 Number notation and place value 2 Approximation and estimation 3 Factors and multiples 4 Patterns 5 Word problems STATISTICS 6 Tables and line graphs 7 Coordinate g geo eom metry FRACTIONS 8 Fraction of a set

Knowledge

Comprehension

Application

Q1 Q24 Q7 Q27

Q33 Q44

Q20, Q21

Q10

9 Mixed numbers and improper fractions 10 W Wo ord problems GEOMETRY 11 Angles 12 8 8--point compass Q8 13 Symmetry Q5, Q23 14 Tessellations Q17, Q18 15 Patterns 16 Properties of a square and a rectangle

Q30 Q37, Q39 Q28 Q9 Q11, Q31 Q34, Q35, Q38 Q32 Q29

Q15

DECIMALS 17 Number notation and place value 18 Co Conv nver ersi sion on be betw twee eenn dec decim imal alss and fractions 19 Approximation and estimation 20 Four operations of decimals 21 Word problems MEASUREMENTS 22 Time 23 Area and perimeter Strategies 1 2

Q3 Q2, Q6 Q22 Q4, Q16

Q19

Knowledge

Drraw a model D Make a systematic list

Q26 Q13, Q14, Q39, Q41 Q25, Q36 Q12, Q40, Q42, Q43 Comprehension

Application

Q37, Q41 Q44

114 11 4 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

End-of-Year Test G Skills WHOLE NUMBERS 1 Number notation and place value 2 Approximation and estimation 3 Factors and multiples 4 Patterns 5 Word problems STATISTICS 6 Tables and line graphs 7 Coordinate g geeometry FRACTIONS 8 Fraction of a set 9 Mi Mixxed num numbers bers and and iim mpr prop oper er fra fract ctio ions ns 10 W Wo ord problems GEOMETRY 11 Angles 12 8-point compass 13 Symmetry 14 Tessellations 15 Patterns 16 Pro Proper pertie tiess o off a squ square are and a rrect ectang angle le

Knowledge Q16, Q17 Q23 Q1

Comprehension

Q26 Q10, Q35, Q41

Q8

Application

Q43

Q9, Q36

Q27 Q19 Q2

Q39

Q22 Q5, Q25 Q18, Q20

Q33 Q29, Q30 Q37 Q34

DECIMALS 17 Number notation and place value 18 Co Conv nvers ersio ionn bet betwe ween en de deci cima mals ls an and d fractions 19 Ap Appr prox oxim imat atio ionn an and d es esti tima mati tion on 20 Four operations of decimals

Q6, Q21, Q24 Q4

Q3

21 Word problems

Q11, Q12, Q14, Q31

MEASUREMENTS 22 Time 23 Area and perimeter Strategy  

1

Q7

Knowledge

Draw a model

Q13, Q28, Q38 Q15, Q32, Q40, Q42 Comprehension Q41

Application Q43

115 11 5 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

End-of-Year Test H Skills WHOLE NUMBERS 1 Number notation and place value 2 Ap Appr prox oxim imat atio ionn a and nd es esti tima mati tion on 3 Factors and multiples 4 Patterns 5 Word problems STATISTICS 6 Tables and line graphs 7 Coordinate geometry FRACTIONS 8 Fraction of a set 9 Mi Mixxed num numbers bers and and iim mpr pro oper per fra fract ctio ions ns 10 Word problems GEOMETRY 11 Angles 12 8-point compass 13 Symmetry 14 Tessellations 15 Patterns 16 Pro Proper pertie tiess o off a squ square are and a rrect ectang angle le

Knowledge

Comprehension

Application

Q3 Q7

Q24 Q25

Q23, Q34 Q1, Q2 Q13, Q26 Q17

Q35

Q22 Q6, Q19, Q20 Q4, Q18

Q32 Q29 Q33, Q38 Q31

Q41

DECIMALS 17 Number notation and place value 18 Co Conv nver ersi sion on be betw twee eenn dec decim imal alss and fractions 19 Ap Appr prox oxim imat atio ionn an and d es esti tima mati tion on 20 Four operations of decimals 21 Word problems MEASUREMENTS 22 Time 23 Area and perimeter Strategy 1 Draw a diagram

Q5, Q16

Q8, Q9, Q21 Q12, Q14, Q27, Q28, Q36, Q37

Knowledge

Q10, Q11, Q30 Q15, Q39, Q40 Q42 Comprehension Application Q41

116 11 6 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 Answer Key  Mid-Year Test A Section A 1. a 2. b 5. b 6. d 9. c 10. c 13. a 14. c

3. 7. 11. 15.

d d d d

4. d 8. a 12. b

         

57 + 62 = 119 Tim’s total score 83 + 77 = 160  Joe was the top scorer in the exam.

36. a.

3  × 25 5

He gives away 15 guppies.

Section B 16. 300

17. 1, 2, 4, 8, 16

   

18. 19. 10 000

20.

 

P

Sally’s total score

= 15

b. 25 – 15 = 10 He has 10 guppies left.

37. a. Strategy: Draw a model   980 g Pawpaw

55° R

21. (E, 2)

Pear

Q

22. Line QT

WZ and 23. WZ  and XY or XY or WX  and ZY 24. 35 25. 10

?

     

Mass of pear

980 ÷ 7 = 140 The mass of the pear is 140 grams.

26. 27 28. 90

27. 16

29.100  10 = 1000 31. 12

   

30. 4 32. 6  7  

×

10 b. 1 1 2

33. a. 4 1   2

38. 1 – 1  = 2   3

 

3

2    360 = 240 × 3

34. 12  

Section C 35. a. Name

b. 980 + 140 = 1120 The total mass of the two fruits is 1120 grams.

English

Mathematics

 Joe

96 points

78 points

Sally

57 points

62 points

Tim

83 points

77 points

240 passengers finally reached Penang.

39. a. Strategy: Draw a model Girls ? Boys ?

b.  Joe had the best score in Mathematics.

       

c. Joe scored 78 points. Sally scored 62 points. 78 − 62 = 16 Joe scored 16 points more than Sally.

   

d. Joe’s total score

34 740

96 + 78 = 174

 

Adults

         

Total units 15 units 1 unit

1+9+5 = 15 34 740 34 740 ÷15 = 2316

117 11 7 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

           

9 units

9 × 2316 = 20 844 There are 20 844 boys. b. 5 units

5 × 2316 = 11 580 There are 11 580 adults.

40. a. Strategy: Work backwards          

 

24. 26. 28. 30. 32. 34.

19 930 12, 24 10 4C 162 35

Section C 36. a.

8

1

The number could be 91 810 or 91 815. b. The number is divisible by 10 so the last digit must be 0. The number is 91 810.

41. Strategy: Draw a diagram

X

     

5 m

80 m

Number of spaces

80 ÷ 5 = 16 Number of streetlights 16 + 1

F

D

C

 

E

G

  37. a. 30 students visited Africa.   b. The The most popular destination was Asia.    

c. 40 – 10 = 30 30 more students visited Asia than America.

38. a. Strategy: Draw a model 16 bags

  271

5 m 5 m 5 m

H

A

Put the other digits in the correct place. 1

b.

B

1, 3 strawberry 51 119 east 2

Y

The number is divisible by 5 so the last digit must be 5 or 0.

9

25. 27. 29. 31. 33. 35.

     

...

271

16 × 271 = 4336 Mrs Clark bought 4336 beads. 4336

b. Mrs Clark

 

240

= 17

 

  They installed 17 streetlights along the road. Mid-Year Test B Section A 1. c 2. c 5. a 6. d 9. a 10. a 13. d 14. d

3. 7. 11. 15.

d b c d

Mrs Thomson ?

   

4. b 8. a 12. a

4336 + 240 = 4576 Mrs Thomson had 4576 beads.

39. Strategy: Draw a model   2400 ...

8

Section B 16. Sixty thousand, four hundred and and twelve 17. 600 18. 3300 19. 9488 20. 6155, 6160, 6165

   

21. 1 5  

 

? cases

8

22.

23. 270

2400 ÷ 8 = 300 Nathan used 300 cases to pack all the coins. 300 ...

12

A

12

? boxes

    70°

 

8

300 ÷ 12 = 25 Nathan used 25 boxes to pack all the cases of coins.

C

B

118 11 8 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. a. 76 – 12 + 19 = 83   Timmy’s score for his History test was 83 points.   b.

         

Thousands

Hundreds

Tens

Ones

8

0

8

9

Test Science

Score 76 points

8 8

1 2

8 8

8 7

English

64 points

8

3

8

6

History

83 points

8

4

8

5

c. 76 + 64 + 83 = 223 His total score for the three subjects was 223 points. 230 – 223 = 7 He would need to score 7 more points in his English test.

  Only 8188 is divisible by 4.   The four-digit number is 8188.   44. Strategy: Draw Draw a diagram diagram 51 trees

model  41. Strategy: Draw a644 King’s Cross

?

 

Hanslow ?

 

4 units 1 unit 3 units

644 644 ÷ 4 = 161 3 × 161 = 483

200 m

   

From the diagram, there is 1 space between 2 trees, there are 2 spaces between 3 trees, there are 3 spaces between 4 trees, and so on.

   

51 – 1 = 50 There are 50 spaces between 51 trees.

Heathrow

         

?

 

483 passengers were on the train at

 

200 ÷ 50 = 4

Heathrow Station.

 

The distance between every two trees is 4 meters.

Mid-Year Test C

42. Strategy: Draw a model ?

dress

           

cushion

Section A 1. d 2. d 5. d 6. a 9. d 10. b 13. c 14. b

70 m left

7 units 1 unit

70 70 ÷ 7 = 10 12 units 12 × 10 = 120

3. 7. 11. 15.

b c a a

4. d 8. a 12. c

Section B 16. Ninety-eight thousand, six hundred hundred and five 17. 1000 18. 58 017, 51 087, 47 108, 108, 41 708 19. Jaipur 20. 28 406 21. a. 50 b. 130 22. a. 3 b. 15 23. Week 2 24. Week 3 25. 1, 7 26. 46, 55 27. 8864 28. south-west

The original length of the piece of fabric was 120 meters.

43. Strategy: Work Work backwards   The number is greater than 5000 and the thousands digit is a multiple of 4, so the thousands digit must be 8. The tens digit is also 8.   Since the sum of the digits in the ones and hundreds place is 9 and the ones digit is greater than the hundreds digit, the possible four-digit numbers are:

30. 3

29. 1200

8

119 11 9 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

31.

= 2,

= 4,

= 6, or

 

= 6,

= 4,

=2

   

b. 300 ÷ 9 = 33 R3 3 flowers were left over.

37. a. 1 1  + 22   = 3  5  + 4

10 10 = 3  9 10 Janice made 3 9  liters of the drink. 10 2

Section C 32.

   

T

  Q

10 =27 10

10

2 7  liters of the drink were left over in 10

38. Strategy: Draw a model  

26 700

a. Office A

2

?

 

b. 20 – 6 1  = 131 2

5

the end.

=6 The total mass2 of the two wrenches was 6 1  kilograms.

 

10

 

33. a. 3 1  + 31  = 62 4 4 4 1

 

b. 3  9  – 11   = 2  9  – 2

 

S

   

5

Office B

2

The mass of the tool kit in the end was

2400 3500

Office C

13 1  kilograms. 2

34. a.

Name

Ants

Ladybugs

Crickets

   

David

50

16

25

 

26 700 – 2400 = 24 300 24 300 tiles were used for Office B. b. 24 300 + 3500 = 27 800

       

 John

0

16

28

 

27 800 tiles were used for Office C.

Susy

65

28

17

   

26 700 + 24 300 + 27 800 = 78 800 78 800 tiles were used altogether.

b. 16 +16 + 28 = 60 25 + 28 + 17 = 70 70 – 60 = 10 They collected 10 more crickets than ladybugs.

39. Strategy: Draw a diagram diagram 30 m ?

?

          }

1

}

2

3

...

35. a. 1 – 5  = 4  

9 9 4  of the apple trees are not flowering. 9

   

b. 4  × 45 = 20 20 apple trees are not flowering.

36. a. Strategy: Draw a model   12 boxes ...

25

   

25

12 × 25 = 300 Blinky had 300 flowers altogether.

3570 m

   

From the diagram, there is 1 space between 2 houses, there are 2 spaces between 3 houses, there are 3 spaces between 4 houses, and so on.

   

61 – 1 = 60 There are 60 spaces between 61 houses.

       

61 × 30 = 1830 3570 – 1830 =1740 1740 ÷ 60 = 29 The distance between every two houses is 29 meters.

9

 

61

120 12 0 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

40. Strategy: Make Make a systematic list list   Multiples of 6 between 80 and 100 are 84, 90,

37. a. 40 – 12 = 28 28 birds are not sparrows.  

 

and 96 .

 

Multiples of 8 between 80 and 100 are 80, 88,

 

 

and 96 .

 

 

I am 96.

 

28 7 b. 40 = 10 7  of the birds are not sparrows. 10

38. a. Mid-Year Test D Section A 1. b 2. b 5. a 6. d 9. b 10. b 13. c 14. d

3. 7. 11. 15.

c d d a

4. b 8. a 12. b

     

Section B 16. 67 909 18. 2, 4, 20 20. 3700

17. 37 008 19. 65 21. 11 628

22. 1 3  

23. 1582

10

135° A

B

Number of residents

X

23 500

Y

63 450

Z

15 701

b. 63 450 – 15 701 = 47 749 There are 47 749 more residents in Town Y than in Town Z.

39. Strategy: Draw a model 32

?

 

24. C

Town

       

8 units 1 unit

32 32 ÷ 8 =4 5 units 5 × 4 = 20 20 students wear green jerseys.

25. Point D  + 1  = 2 40. a. 1 1 2 2   Shelly takes 2 hours to complete 1 bird house.

26. 2Orsteps south andand 3 steps west 3 steps west 2 steps south 27. north 28. 24, 48 29. 21 060, 21 080 30. 36 31. 50 32. 8 33. 10 34. 14 35. 5

     

b. 15 × 2 = 30 Shelly will take 30 hours to complete 15 bird houses.

41. 1 – 1  = 7

Section C 36. a. and b.

   

A

   

8 8 35 7  × 5 = 8 8 = 4 3   8 She had 4 3   kilograms of butter after baking scones. 8 4 3  + 1  = 4 3  + 4 8

2

8 8 = 4 7   8 She had 4 7 kilograms of butter in the end. 8

  121 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

42. a. 800 – 500 = 300   The decrease was 300 people. There was a decrease in the number of people who owned the Ringping between 2010 and 2012.

22.

B

A

b. The Ringping was probably probably first introduced introduced in 2004. 43. a. Strategy: Draw a model 300 Boys

 

? Girls

  23.

24. Yes

372

           

300 + 372 = 672 300 + 672 = 972 972 students were on the field trip altogether. b. 972 ÷ 40 = 24 R12 25 buses were needed to bring all the students back to school.

25. 27. 29. 31. 32.

Monday 206 12 20 40

26. 1146 28. 1000 30. 58.75 B

44. Strategy: Make Make a systematic systematic list  

Multiples of 4 between 10 and 50 are 12, 16, 20 ,

 

24, 28, 32, 36, 40 , 44, and 48.

 

Multiples of 5 between 10 and 50 are 10, 15, 20 ,

 

25, 30, 35,

, 45, and 50.

A

33.

34.

40 Possible numbers

Sum of digits

20

2

 

7

40

4

 

3

 

Check  

Section C 35.  

  The number is 40. End-of-Year Test E Section A 1. c 2. b 5. a 6. d

3. d 7. d

4. b 8. b

9. d c 13.

11. b c 15.

12. b

10. b d 14.

36. a. 1 – 1  = 3 4

Section B 16. 11 18. Point X 20. Point V 21. a. No

17. A and B 19. (E, 1)

4

 

3    12 = 9 × 4

 

9 liters of grape juice were left in the barrel.

b. No  

b. 9 + 2 3  = 11 3 10

10

122 12 2 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

11 3  liters of grape juice were in the

 

10

barrel finally.

   

180 + 48 = 228 The area of the deck is 228 square meters.

41. Strategy: Draw a model 37. a. Carl won won the race.      

b. 15 – 6 = 9 Min took 9 seconds longer to complete the race than Joe.

38. a. The clock showed 3.45.   10 minutes after 3.45 is 3.55.   The game started at 3.55.  

b.

1h 15 55

 

1.63 m

   Jack

0.25 m

Kate ? Sam

15 min 16 55

17 10

The game would end at 17 10.

39. a. Strategy: Look for a pattern   Add multiples of 8, starting from 8, to get the   next number in the pattern.          

82 + 8 = 90 90 + 16 = 106 106 + 24 = 130 130 + 32 = 162 162 + 40 = 202

 

The next two numbers are 162 and 202.

         

2 units

1.63 + 0.25 = 1.88 1 unit 1.88 ÷ 2 = 0.94 Sam is 0.94 meter tall.

42. a. 8 × 8 = 64   The length of the pond is 8 meters.              

b. Method 1: 15 – 8 = 7 12 – 8 = 4 7 + 12 + 15 + 4 + 8 + 8 = 54 The perimeter of his garden is 54 meters. Method 2: By extending the lines outwards in the direction of the arrows, the perimeter of the garden is the same as the perimeter of rectangle measuring

      

15 meters by 12 meters.

b. The Strategy: Look for a after pattern pattern repeats every 4 shapes. The third set of pattern starts with the 9th shape. Hence the 10th shape is the same as the 2nd shape.

 

The 10th shape is

40.

 

.

20 m

 

B

43. Strategy: Make Make a systematic list list   Multiples of 3: 3, 6, 9, 12, 15, 18

A

15 m

9m

12 m

         

Area of A

15 × 12 = 180

20 – 12 = 8 15 – 9 = 6 Area of B

15 + 15 + 12 + 12 = 54 The perimeter of his garden is 54 meters.

   

+2: 5 , 8, 11, 14, 17 , 20 Multiples of 4: 4, 8, 12, 16, 20, 24

 

–3:

 

Grandpa had 5 or 17 finger puppets. If he had 5 finger puppets, he could only give 1 grandchild 3 finger puppets with 2 finger puppets left. He was able to give 3 finger puppets to each of his

8 × 6 = 48

1, 5 , 9, 13, 17 , 21

123 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 

grandchildren so he should have more than 5 finger puppets. So, Grandpa had 17 finger puppets.

32.

33. A = 14, B = 13

44. Strategy: Work backwards backwards  

An even number has the digit 0, 2, 4, 6, or 8 in the ones place. The hundreds digit is 3 times the ones digit so the ones digit must be 2.

34.

   

3 × 2 = 6 The hundreds digit is 6.

   

6+2=8 The tens digit is 8.

 

To be divisible by 5, the thousands digit must be 5.

 

I am 5682.

Section B 16. 22.55

18. No

  Section C 35. a. and b.

End-of-Year Test F Section A 1. b 2. b 5. d 6. b 9. b 10. a 13. d 14. a

 

3. 7. 11. 15.

c b a d

4. c 8. d 12. c  

17.

19. 3.45 p.m.

36.

1h 16 15

30 min 17 15

17 45

20.

 

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Number of books sold

20

16

20

40

28

21. 22. 24. 25. 27. 29. 31.

Monday and Wednesday 2.7 23. a. 200 b. 22 30 26. 3768 28. 77 30.

He woke up at 17 45.

37. Strategy: Draw a model

         

Yes 900 2.61 150 3

?

1 unit 3 units

6

6 3 × 6 = 18

She gave Charlie 18 stickers. 38. a.

b.

A

  B

39. a. 2 1  = 2.2 5

 

2.2 – 1.5 = 0.7

124 12 4 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

 

   

 Jug A has 0.7 liter more orange juice than  Jug B. b. 2.2 + 1.5 = 3.7 The total amount of orange juice in the two jugs is 3.7 liters.

40. 7 × 7 = 49   7 × 4 = 28   He would need 28 meters of fencing. 41. Strategy: Draw a model 6.28 kg

 

Mrs Li Mrs Chan Mrs Ho ?

           

4 units 1 unit

6.28 6.28 ÷ 4 = 1.57 2 units 2 × 1.57 = 3.14 Mrs Ho bought 3.14 kilograms of carrots.

42. 12 × 12 = 144   Length of picture     Breadth of picture

12 – 2 – 2 =8 12 – 3 – 3

44. Strategy: Make Make a systematic list list    

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40 + 4: 9, 14, 19, 24, 29 , 34, 39, 44

   

Multiples of 7: 7, 14, 21, 28, 35 – 6: 1, 8, 15, 22, 29

 

The baker has 29 muffins.

End-of-Year Test G Section A 1. c 2. a 5. c 6. a 9. c 10. c 13. a 14. a

3. 7. 11. 15.

b c c d

4. d 8. c 12. c

Section B 16. 8400

17. hundreds

18. No

19. 22

20.

21.

9

       

=6 8 × 6 = 36 The area of the picture is 48 square meters. Area of picture

  22. 4 23. 37 24. 18.63 s, 18.70 s, 18.74 18.74 s, 18.81 s, 18.84 s 25. Yes 26. 1, 2 27. 28. 1 h 15 min

43. a. 4 + 5 + 4 = 13   10 + 13 + 10 + 13 + 4 + 4 = 54   The perimeter of the figure is 54 centimeters.  

b.

A

B

  29.

C

 

Area of A

   

10 – 4 = 6 Area of B

   

40 + 30 + 40 = 110 The area of the figure is 110 square centimeters.

C

10 × 4 = 40 5 × 6 = 30 D

125 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

30.

31. 270

40. a.

5 cm B

 

2 cm

10 cm 12 cm A

32. 4 34.

33. north-east 35. 29

       

 

4 cm

 

10 cm

Length

10 + 4 = 14 Breadth 12 + 2 = 14 Area of square

Section C 36. a. Beck collected the most bottle bottle caps.

   

   

b. 251 – 125 = 126 Cindy collected 126 fewer bottle caps  than Ali. c. 251 + 326 + 125 = 702 The three children collected 702 bottles caps  altogether.

   

Length of A

b.

14 – 10 =4

Area of A

4 × 4 = 16

Area of B

5 × 2 = 10

   

Area of the figure  

37. a.  

14 × 14 = 196

 

 

196 – 16 – 10 = 170

The area of the figure is  170 square centimeters. b. 4 × 14 = 56

 

The perimeter of the figure is 56 centimeters.

41. Strategy: Draw a model 38. a.

       

1h

 

30 min

17 50

18 50

? Adults

 

19 20

The lesson ended at 19 20.  

b. 10 minutes after 19 20 is 19 30. The watch would show 19 30.

2 units

6275 – 3275 = 3000 1 unit 3000 ÷ 2 = 1500 1500 + 3275 = 4775 There are 4775 adults at the stadium.

       

5 1    60 = 15 × 4

?

b.

36 + 15 = 51 There were 51 wholegrain and rolled biscuits.

6275

3275

Children

39. a. 3  × 60 = 36

   

a.

Male 4775

   

Female

b. 60 – 51 = 9

775

There were 9 cheese biscuits. 126 12 6

Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

     

2 units

 

There are 2000 male adults at the stadium.

1 unit

4775 – 775 = 4000 4000 ÷ 2 = 2000

42. Area of photo frame  

15 × 10 = 150

   

Length of photograph

   

Breadth of photograph

   

Area of photograph

   

Area of border

 

The area of the border is 84 square centimeters.

21. 2.24

22. C

45° A

23. a.

Name

Score

Tara

60

Zoe

66

May

77

15 – 2 – 2 = 11 10 – 2 – 2 =6 11 × 6 = 66

150 – 66 = 84

  b. May 24. 18, 36

c. 14 25. 7144, 7150, 7156

26. 7  

27. 10

15

28. 280 29.

A

43. Strategy: Draw a model 315

?

Group A

 

  B

Group B 419

     

2 units 1 unit

419 – 315 = 104 104 ÷ 2

B

30. 18 45 31.

 

     

32. a. 2 steps to the north and 5 steps steps to the east east   Or   5 steps to the east and 2 steps to the north   b. 4 steps to the south and 3 steps to the east   Or   3 steps to the east and 4 steps to the south

= 52 52 children must be moved from Group B to A so that the two groups have an equal of children.

End-of-Year Test H Section A 1. d 2. a 5. b 6. c 9. c 10. c 13. b 14. c

3. 7. 11. 15.

d d b c

Section C 33.

4. b 8. a 12. c

Section B

16. Lily, James, Rosa, Rafael Rafael 17. 4 3   18. 8

19. No

20. Yes

127 12 7 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources  

34. a.

     

Month

Number of students

 January

68

February

51

March

66

April

51

b. 51 + 51 = 102 102 students were checked altogether in those two months.

35. a. 1  = 0.25 4

0.25 of the nail is in the wall.

     

b. 1  × 8 = 2 4

8–2=6 6 centimeters of the nail are left to be hammered into the wall.

b.

39. a. The length of square is 6 cm.   Length of AB 3 × 6   = 18   The length of AB is 18 centimeters.        

b. Perimeter

14 × 6 = 84 The perimeter of the figure is 84 centimeters.

40. 6 × 10 = 60   8 × 8 = 64   60 + 64 = 124

36. a. 8.06 – 5.2 = 2.86   Jasmine’s puppy is 2.86 kilograms heavier than Kera’s puppy.

 

The perimeter of the figure is 124 centimeters.

   

b. 10 × 8 = 80 80 × 6 = 480

   

 

b. 8.06 + 5.2 = 13.26 The total mass of the two puppies is 13.26 kilograms.

37. 2.85 + 0.55 = 3.4

The area of the figure is 480 square centimeters.

41. Strategy: Draw a diagram

     

2.85 + 3.4 + 2.75 = 9 12 – 9 = 3 Kumar must jog 3 kilometers on Thursday.  

38. a.

There are 4 circles on each side of the square. 42. Area of original piece of paper   Area of one cut corner   Area of four cut corners   Area of remaining paper

 

 

14 × 14 = 196 2 × 2 = 4 4 × 4 = 16 196 – 16 = 180

The area of the remaining paper is 180 square centimeters.

128 12 8 Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources