SOF Level 2 IMO Class 5

1

Class 5 CLASS

SOF-INTERNATIONAL MATHEMATICS OLYMPIAD

SAMPLE PAPER

Total Questions : 50

5 Time : 1 hr. hr.

LEVEL-II Guidelines for the Candidate 1. You will get additional ten minutes to fill up information about yourself on the the Answer Sheet, before before the start of the exam. 2. The Question Paper Paper comprises four sections: Logical Reasoning (20 Questions), Mathematical Reasoning (15 Questions), Everyday Mathematics (10 Questions) and Achievers Section (5 Questions) Each question in Achievers Section carries 3 marks each, whereas all other questions carry one mark each. 3. All questions are compulsory.There is no negative marking. Use of calculator is not permitted. permitted . 4. Write your Name, Roll No. and Class clearly on the Answer Sheet and do not forget to sign it. 5. There is only ONE correct answer. Choose only ONE option for an answer. answer. 6. To mark your choice of answers by darkening the circles in the Answer Sheet, use an HB Pencil or a Blue / Black ball point pen only. E.g. Q.16: A number has nine ones, six tens and eight hundreds. What is the number? A. 869 B. 896 C. 968 D. 986 As the correct answer is option A, you must darken the circle corresponding to option A in the Answer Sheet. 7. Rough work should should be done done in the blank blank space provided in the booklet. 8. Return the Answer Sheet to the invigilator at the end of the exam. 9. Write your Roll No. on the Question Paper Paper too and take take it home for future reference.

SYLLABUS Number sense, Numeral and Number Name (7 and 8 digit numbers), Roman Numbers, Addition, Subtraction, Multiplication, Division, Factors and Multiples, LCM, HCF, Rules of Divisibility, Whole, Prime and Composite Com posite Numbers, Numb ers, Fraction Fractions, s, Decimals, Decimal s, Geometrical Geometr ical Shapes S hapes & Angles, Circles, Circle s, Symmetry, Symmetr y, Measurement Measure ment of Length, Mass, Capacity, Perimeter Perimeter and Area of Rectangle, Square, Measurement of Volume, Temperature, Time and Various Operations on Time, Relationship Between Seconds, Minutes and Hours, Money, Representation of Data in Pictorial Form, Patterns, Formation of Numbers and a nd Figures, Direction Sense, S ense, Number Ranking and Alphabetical Test, Series, Odd Odd One Out.

2

Class 5

LOGICAL REASONING 1.

2.

Which letters in the word APPLE have a line of symmetry ? (A) A and L (B) P and L (C) A and E (D)  A and P

APPLE

Mrs. Johnson asked her 5th grade students to form a number pattern using these given rules. 1.

Use number 1 as the first term.

2.

To find any other term, double the previous term and add 2.

The first two numbers in the pattern are 1 and 4. What is the 4 th number in the pattern? (A) 20 3.

(B) 22

(C) 44

(D) 46

Manuj is going to make a cake using the choices shown in the table. Cake Flavour

Icing Type

Chocolate Vanilla Strawberry

Maple White  Yellow

Sprinkle Colour Red Blue

How many different cakes can Manuj make using one cake flavour, one icing type, and one sprinkle colour? (A) 18 4.

(B) 12

(C) 8

(D) 3

Look at the figure shown below.

Which of these correctly shows the result of a reflection (flip) of the above figure across the dashed line?

(A)

5.

6.

(B)

(C)

(D)

How many triangles are there in the adjoining figure ? (A) 10

(B) 12

(C) 13

(D)  None of these

The figure on the adjoining grid was translated from position I to position II. Which of these best describes how the figure was translated I from position I to position II? (A) Right 2 units and down 5 units (B) Right 2 units and down 4 units (C) Down 3 units and right 2 units (D) Down 5 units and right 1 unit

II

3 7.

Class 5

Look at the adjoining Venn diagram. How many children have been to all three cities?

I have been to City X 

I have been to City  Y 

(A) 14 (B) 9 (C) 0

I have been to City Z 

(D) 3 8.

9.

How many lines of symmetry does the given figure have ? (A) 1

(B) 2

(C) 8

(D) 4

What is the missing value?

167

52

116

30 134

?

(A) 214 80

14

(B) 234 (C) 254

215

18

198

38

28 314

92

(D) 274 10. If the code of ADJUST is JDATSU, then what is the code of VERIFY ? (A)  REVFYI

(B)  REVYFI

(C)  ERVYFI

(D)  VFFYIF

MATHEMATICAL REASONING 11. Roman numeral for 498 is ___. (A)  CDCXVIII

(B)  CDCXIV

(C)  CDXCVIII

(D)  CDCVXIII

12. To convert °F to °C we use ___. (A) ( °F - 32) ´

5 12

(B)

5 °F - 32 9

13. What fractional part of 80 is (A)

3 5

(B)

(C) ( °F - 32 ) ´

5 9

(D) ( °F - 32 ) ´

9 5

60 of 50? 100

5 6

(C)

3 4

(D)

14. What is the area of shaded part in the adjoining figure?

3 8 2 cm

2

(A) 24 cm

2 cm

(B)  16 cm2

2 cm

(C)  64 cm2

2 cm

2

(D)  56 cm

20 cm

15. Which set of numbers has factors of 24 ? (A) 2, 4, 6, 8, 10, 12

(B) 2, 3, 6, 8, 16, 24

(C) 1, 2, 3, 4, 6, 8, 12, 24

(D) 1, 2, 3, 12, 24, 28

8 cm

4

Class 5

16. Grandpa gave his collection of 584 pennies to his 8 grandchildren equally. How many pennies did each child get ? Which of the following expressions can be used to solve the problem ? (A) 584 × 8 =

(B) 584 ¸ 8 =

17. What is the value of

(C)  584 + 8 =

? +

+  –

(A) 250 18. Find the value of 

(B) 240

= 240 = 120

(C) 230

(D) 40

Z. Z 

(A) 104

(D)  584 – 8 =

(B) 106

´

45

¸

20

234

(C) 108

(D) 110

19. Which of the following has the smallest value ? (A) 12 tenths – 25 hundredths (B)  14 hundredths ´ 6 (C) 86 hundredths – 2 thousandths (D)  78 tenths ¸ 3 20. 1 billion = ____ crores. (A) 1

(B) 10

(C) 100

(D)  1000

EVERYDAY MATHEMATICS 21. Kitty has 47 pieces of gum and Ela has 57 pieces of gum. If Kitty and Ela combine their gums and divide the pieces evenly among 8 people, how many pieces of gum will each person get ? (A) 104 (B) 96 (C) 13 (D) 10 22. Your clock loses 2 minutes every hour. If you set it at the correct time at 12 : 00 noon, what time will it show when the real time is 8 p.m. ? (A) 7 : 16 p.m. (B) 7 : 44 p.m. (C) 8 : 16 p.m. (D) 8 : 44 p.m. 23. In order to participate in a nature camp, all the fourth, fifth and sixth grade students must be separated into groups of 10. If there is a total of 380 students in grades four, five and six, how many groups will there be ? (A)  38000 (B) 38 (C) 380 (D)  3800 24. 8 times the money which Rohit has is 168 more than what Mohit has. If Mohit has 200, how much money does Rohit have? (A) ` 46 (B) ` 54 (C) ` 78 (D) ` 96 25. Mr. Ravi has a total of 657 newspapers to be delivered. He makes 36 stacks with the same number of newspapers in each stack. Which of the following could show how many newspapers are in each stack and how many are left over? (A) 18 in each stack with 9 left over  (B) 28 in each stack with none left over  (C) 36 in each stack with none left over  (D) 65 in each stack with 7 left over