1
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MTG Work-Books / olympiad books CLASS 1
International Mathematics Olympiad
National Science Olympiad
International English Olympiad
MTG CSS Series
CLASS 2
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 3
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
MTG Work-Books / olympiad books CLASS 4
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 5
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
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International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
MTG Work-Books / olympiad books CLASS 7
International Mathematics Olympiad
National Science Olympiad
Math IQ Challenge
National Cyber Olympiad
Science IQ Challenge
International English Olympiad
MTG CSS Series
Master Mental Ability in 30 Days
CLASS 8
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
Math IQ Challenge
Science IQ Challenge
Psychology of Success
Science of Achievement
Master Mental Ability in 30 Days
MTG Work-Books / olympiad books CLASS 9
International Mathematics Olympiad
Math IQ Challenge
National Science Olympiad
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
Science of Achievement
International English Olympiad
Master Mental Ability in 30 Days
CLASS 10
International Mathematics Olympiad
Math IQ Challenge
National Science Olympiad
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
Science of Achievement
International English Olympiad
Master Mental Ability in 30 Days
1st
Year 2007
Class 4
SETA
2
SECTION I : LOGICAL REASONING 1.
Study the number pattern below. 195, 190, 185, 180, 175, ______ What rule is used to find the next number in the pattern? (A) add 10
(B) subtract 15
(C) add 5
(D) subtract 5
(E) None of these. 2.
Gaurav measured the height of a wall in his house. Which is the best metric unit of measure to use? (A) millimetres
(B) centimetres
(C) metres
(D) kilometres
(B)
(C)
(D)
(E) None of these. 3.
Complete the pattern.
(A) (E) None of these. 4.
A bag contains 1 red, 1 blue and 1 green ball. Which shows all possible combinations of 2 balls? (A) red/blue, blue/green (B) red/green, green/blue (C) red/blue, red/green, blue/green (D) red/blue, green/red, red/green
5.
(E) None of these.
Complete the pattern given below : 5:00, 5:15, 5:30, ______ (A) 5:35
(B) 6:00
(C) 5:45
(D) 5:50
(E) None of these. 6.
Here is a triangle given. The triangle is divided into three______
7.
(A) triangles
(B) squares
(C) pentagons
(D) rectangles
(E) None of these.
Each day, a bakery bakes 40 cakes. The given table shows the relationship between the number of days worked and the total number of cakes baked. What was the total number of cakes baked on 4th day ? (A) 140
(B) 160
(C) 200
(D) 320
(E) None of these.
CAKES BAKED Days Worked
Number of Cakes Baked
1
40
2
80
3
120
4
SETA 8.
Class 4
3
Study the given figure. Which of these shows a flip of the given figure over the dotted line?
(A)
(B)
(C)
(D)
(E) None of these. 9.
Study the given figure. Which 2 shapes can be used to create the given figure?
(A)
(B)
(C)
(D)
(E) None of these. 10. Fatima draws a triangle, Chirag draws a rectangle and Gaurav draws a pentagon, as shown below.
If the pattern continues, what is the geometric figure that will be drawn next? (A) A hexagon
(B) A quadrilateral
(C) An octagon
(D) A pentagon
(E) None of these.
SECTION II : MATHEMATICAL REASONING 11. Jasbir is building the number 2,058 using placevalue blocks. There are no thousands block. How many hundreds blocks can he use instead? (A) 2
(B) 10
(C) 20
(D) 200
(C)
(D)
(E) None of these. 12. Which figure shows intersecting lines? (A) (E) None of these.
(B)
Class 4
SETA
4
13. Which statement is true? (A) 1,625 > 1,492
(B) 1,529 = 1,549
(C) 5,231 1,394
(E) None of these. Z
14. Study the figure below. Which angle in the figure looks like it measures 90°? (A) Ð W
(B) Ð X
(C) Ð Y
(D) Ð Z
W
X
(E) None of these.
Y
15. A baseball team has 9 players. 2 teams play a game. How many players are there? Choose the correct number expressions. (A) 9 + 9, 2 × 9
(B) 2 + 9, 9 + 9
(C) 9 + 2, 2 × 9
(D) 2 × 2, 9 × 9
(E) None of these. 16. Write the appropriate value. 9000 – 3782 = ? (A) 5218
(B) 5328
(C) 6782
(D) 12,782
(C)
(D)
(E) None of these. 17. Which square is
1 shaded? 4
(A)
(B)
(E) None of these. 18. What time does the clock show? (A) 5:15
(B) 4:15
(C) 4:45
(D) 5:45
(E) None of these. 19. Study the given cube. How many square faces does a cube have? (A) 3
(B) 4
(C) 5
(D) 6
(E) None of these.
20. A school is planning to build the patio shown here. What is the area of the patio? (A) 12 square metres
(B) 14 square metres
(C) 28 square metres
(D) 48 square metres
(E) None of these.
= 4 Square metres
SETA
Class 4
5
21. Study the 3dimensional shapes below.
How many of these 3dimensional shapes have only flat faces and straight edges? (A) 1
(B) 2
(C) 3
(D) 4
(E) None of these. 22. Jagdish is 14 years old. Dhiraj is 5 years younger than Jagdish. Which number sentence can be used to find how old Dhiraj is? (A) 14 +
= 5
(B) 5 + 14 =
(C)
¸ 5 = 14
(D) 14 – 5 =
(E) None of these. 23. Every hour, a group of students can make 20 sandwiches for the soup kitchen. Which numbers complete the given chart? (A) 20, 20
(B) 50, 60
(C) 60, 80
(D) 80, 120
Hours
Number of Sandwiches
1
20
2
40
3
?
4
?
(E) None of these. 24. Which decimal should be placed in the box to have the numbers in order from least to greatest? 0.28
0.32
0.54
(A) 0.25
?
0.86
(B) 0.45
(C) 0.61
(D) 0.93
(C) 11
(D) 14
(E) None of these. 25. Look at the problem below. = If
+ 4
= 7, what is
(A) 3
? (B) 7
(E) None of these.
SECTION III : EVERYDAY MATHEMATICS 26. At a school, there are 704 desks to place into 22 classrooms. If the same number of desks is placed in each classroom, how many desks will be in each room? (A) 32 (E) None of these.
(B) 34
(C) 42
(D) 44
Class 4
SETA
6
27. There were 26 students in the first grade. Each student ate 3 toffee. How many toffee in all did the students eat ? (A) 29
(B) 58
(C) 68
(D) 78
(E) None of these. 2 7 of a gallon of gas in its gas tank. The rider adds of a gallon of gas to the 10 10 tank. How much gas is now in the snow machine’s gas tank?
28. A snowmachine has
(A)
5 gallon 20
(B)
9 gallon 20
(C)
5 gallon 10
(D)
9 gallon 10
(E) None of these. 29. In March it rained 6 inches. In April it rained 9 inches. What is the change in the amount of rain from March to April? (A) decreased by 3 inches
(B) decreased by 4 inches
(C) increased by 3 inches
(D) increased by 4 inches
(E) None of these. 30. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 162 seats, how many seats are in each row? (A) 17
(B) 18
(C) 19
(E) None of these.
de
(D) 20
2nd
Year 2008
Class 4
2
SECTION I : MENTAL MATHEMATICS 1.
2.
2 How many of the triangles would be needed to cover exactly of the given shape ? 3 (A) 1 (B) 3 (C) 6 (D) 9 (E) None of these.
Jyoti's mother bought 6 bags of fruit at the grocery store. What fractional part of the bags contained red fruit ?
red
(A) 3.
1 6
5.
2 6
(C)
yellow
red
purple
3 6
(B) Balance
(D)
(E) None of these.
(C) Thermometer
(D) Compass
(E) None of these.
(E) None of these.
Each child picked two toys from this set of toys. and the
Ramesh picked the Narang picked the
,
and the and the
,
Jack s
Coloring B ooks
,
What fraction of the set of toys is left over ? 2 3 5 (A) (B) (C) 8 8 8
(D)
1 8
(E) None of these.
The students in art class were building a castle with blocks. The pictures below show how many blocks they used each day in building the castle. After 4 days the castle was complete. How many blocks in all were used to make the castle ? Day 1
(A) 112 7.
4 6
What numbers should be next in the pattern shown below ? 14, 14, 15, 15, 16, , (A) 15, 16 (B) 16, 16 (C) 16, 17 (D) 17, 17
Tarun picked the
6.
yellow
What tool should Hemant use to measure the weight of a rock ? (A) Ruler
4.
(B)
yellow
(B) 122
Day 2
(C) 124
Day 3
Day 4
(D) 132
(E) None of these.
The highest temperatures recorded in four different countries are listed below. 127.6° F Australia 114.8° F Spain 136.4° F Libya 134.0° F United States What is the highest temperature listed above ? (A) 127.6° F (B) 114.8° F (C) 136.4° F (D) 134.0° F (E) None of these.
Class 4 8.
3
Which of these 475 milliliter bottles has about 200 milliliters of water in it ?
(A)
9.
(B)
(C)
(D)
(E) None of these.
A horse's height is measured in a unit called a hand. A hand measures 4 inches. What is the height, in inches, of a horse that measures 14 hands ? (A) 36 inches
(B) 46 inches
(C) 56 inches
(D) 66 inches
(E) None of these.
10. Which 2 shapes could be put together to form the rectangle given in fig. (X) ? (A)
(B)
(C)
(D) fig. (X )
(E) None of these.
11. The diagram below shows the pattern which Rohit is using to put tiles on his floor. Which row of tiles is the missing row from Rohit's floor ?
(A)
(B)
(C)
(D)
(E) None of these. 12. Ms. Raman's class and Mr. Roman's class are competing in a school 'Reading Competition'. According to the table, which statement is true ? BOOKS READ EACH WEEK Week
Ms. Raman's Class
Mr. Roman's Class
1
10
8
2
9
10
3
13
12
(A) In 3 weeks Mr. Roman's class read more books than Ms. Raman's class. (B) In the first 2 weeks Mr. Roman's class read more books than Ms. Raman's class. (C) Ms. Raman's class read fewer books during week 1 than Mr. Roman's class read during week 1. (D) Ms. Raman's class read the same number of books during week 1 as Mr. Roman's class read during week 2. (E) None of these. 13. Which statement is true ? (A) One line segment can divide a triangle into two smaller triangles. (B) One line segment can divide a square into two smaller squares. (C) One line segment can divide a circle into two smaller circles. (D) One line segment can divide a hexagon into two smaller hexagons. (E) None of these.
Class 4
4
14. Each of the 3 given blocks has a star on 3 of its 6 faces. What is the total number of stars that cannot be seen above the blocks ? (A) 2 (B) 4 (C) 5 (D) 9 (E) None of these. 15. Divya drew lines on a rectangle to make a figure with exactly 2 squares, 2 triangles, and 1 trapezoid. Which figure is the one that Divya drew ? (A)
(B)
(C)
(D)
(E) None of these.
16. Sara is 120 centimeters tall. Sara is 2 times as tall as Johny. Which statement is true ? (A) Sara is 60 centimeters taller than Johny. (B) Sara is 120 centimeters taller than Johny. (C) Sara is 60 centimeters shorter than Johny. (D) Sara is 120 centimeters shorter than Johny. (E) None of these. 17. The students in Mr. Raman's class are solving this problem. Peter had 10 coins. Then he found more coins. Now Peter has 16 coins. How many coins did Peter find ? Three students wrote these sentences to solve the problem. 16 – 10 = 10 – = 16 10 + = 16 Ella Kavita Anita Who wrote a correct number sentence ? (A) Only Kavita and Anita (B) Only Kavita (C) Only Anita and Ella (D) Only Ella 18. Kamal wants to balance this scale. He knows one How many more (A) 2 (D) 10
(E) None of these.
weighs the same as four
.
should he put on the right side of the scale to balance it ? (B) 4 (C) 8 (E) None of these.
19. Zoya has a ball of string 600 cm long. She needs 50 cm of string for making a ring. What should Zoya do to find out the number of rings ? (A) Multiply 600 by 50 (B) Divide 600 by 50 (C) Divide 500 by 3 (D) Multiply 5 by 100 (E) None of these. 20. Teena is 5 years older than her 8year old brother. Which expression represents Teena's age ? (A) 8 – 5 (B) 8 + 5 (C) 8 x 5 (D) 8 ¸ 5 (E) None of these.
SECTION II : MATHEMATICAL REASONING 21. Amit arranged some tiles in the pattern shown on the right. Which number sentence is the best representation of Amit's arrangement of tiles ? (A) 7 + 3 = 10 (B) 7 × 3 = 21 (C) 7 × 7 = 49 (D) 21 – 3 = 18 (E) None of these. 22. Which of the following equation becomes true by placing 4 in the (A) 40 ¸
= 8
(B) 24 ¸
= 8
(C) 16 ¸
23. Which number sentence is true ? (A) 100 + 85 = 10 + 85 (B) 100 + 85 = 150 + 8 (E) None of these.
= 8
(D) 32 ¸
? = 8
(E) None of these.
(C) 100 + 85 = 105 + 80 (D) 100 + 85 = 108 + 5
Class 4
5
24. Bobby asked 26 students what their favourite sport was. He made this tally chart. Then 3 students changed their votes from soccer to hockey. Which sport has the most votes now ? (A) (B) (C) (D) (E)
Soccer Hockey Baseball Basketball None of these.
Favourite Sports Sport
Number of Votes
Soccer Hockey Baseball Basketball Volleyball
25. This is a model of the ceiling in Tony's room. How many squarefoot tiles does Tony need to cover the ceiling ? (A) 63 (B) 54 (C) 32 (D) 28 (E) None of these. 26. This chart shows the length of cross link road in three cities. Total number of miles of the cross link road in these three cities are ? Cross Link Road Cities Meerut Delhi Faridabad (A) 311
(B) 442
Miles Long 281 161 150 (C) 492
(D) 592
(E) None of these.
27. Nalini ate 28 french fries at lunch. Monty ate half as many french fries as Nalini. Arpit ate 3 more french fries than Monty. Which number sentence given below will find the number of french fries Arpit ate ? (A) (28 – 3) ¸ 2 =
(B) (28 + 3) ¸ 2 =
(C) (28 ¸ 2) – 3 =
(D) (28 ¸ 2) + 3 =
(E) None of these. 28. Sumita quickly estimated the product of 796 × 19 this way : · She rounded each number to the nearest ten. · She multiplied these numbers together. What was Sumita's estimate ? (A) 14,000 (B) 15,010 (C) 15,200 (D) 16,000 (E) None of these. 29. How many months in a year have 30 days ? (A) 6 (B) 5 (C) 4
(D) 8
(E) None of these.
30. Last month, 3801 people ate at Tony's Pizza. This month, 2765 people ate at Tony's Pizza. How many more people ate Tony's Pizza last month than this month ? (A) 1036
(B) 1044
(C) 1146
(D) 1164
(E) None of these.
31. Mohit earned Rs 5.00 for every hour on selling milk bottles. Last week he worked for 8 hours. He spent Rs 12.00 of the money he earned. Which expression could be used to find how much money was he left with ? (A) Rs 5.00 × 8 + Rs 12.00 (B) Rs 5.00 + 8 – Rs 12.00 (C) Rs 5.00 × 8 – Rs 12.00 (D) Rs 5.00 × 8 ¸ Rs 12.00 (E) None of these.
Class 4
6
32. Mr. Amitabh is painting his house. The graph on the right shows how many hours he spent at painting during 5 days. How many more hours did Mr. Amitabh spend painting his house on Friday than on Wednesday ?
Time (in hours)
HOURS PAINTING HOUSE
(A) 4 (B) 5
6 5 4 3 2 1
(C) 6 (D) 7
M
d on
ay
(E) None of these.
y y ay da da sd s s e r u ne Tu Th ed W Day
ay id r F
33. The given table shows the population of New York State. How many more people were there in New York in 1990 than in 1880 ? (A) 9 million
(B) 13 million
(C) 15 million
(D) 18 million
(E) None of these. 34. The shaded models show that – 1 2 = (A) 3 4 2 2 < 3 4 (E) None of these.
(C)
1 3
1 1 > (B) 4 3
(D)
2 2 < 4 3
1 4
1 3
1 4
1 3
1 4
1 4
35. Which of the following sentences given below best describes the two parallel lines ? (A) They meet at exactly one point. (C) They form a right angle. (E) None of these.
(B) They meet at exactly two points. (D) They are always the same distance apart.
36. There were 123 players at a soccer camp. The players were divided into teams having 11 players each. What was the total number of teams and the total number of players left over ? (A) 10 teams, with 3 players left over (C) 11 teams, with 2 players left over (E) None of these.
(B) 11 teams, with 1 player left over (D) 12 teams, with 3 players left over.
37. In a sale, the price of a computer was reduced by Rs. 100 to Rs. 950. Which of the following expressions represents the price of the computer before the sale ? (A) 100 + 950
(B) 100 – 950
(C) 950 – 100
(D) 950 ¸ 100
(E) None of these. 38. All of the numbers Meena wrote in the box shown on the right are even numbers and multiples of 3. Which of the following is also an even number and a multiple of 3 ? (A) 13
(B) 21
(C) 26
(D) 30
(E) None of these.
39. Tanya made a model of a house, as shown in the given figure, by gluing together a cube and a square pyramid. How many faces does the model of the house have ? (A) 4
(B) 8
(D) 11
(E) None of these.
(C) 9
Class 4
7
40. Allena has centimeter blocks like the one is shown below. She also has a box with the length, width, and height as shown below. Which of the following is best represented by Allena filling the box with centimeter blocks ? (A) (B) (C) (D) (E)
The area of the box The perimeter of the box The weight of the box The volume of the box None of these.
1 cm 1 cm 1 cm
2 cm 5 cm 4 cm
SECTION III : EVERYDAY MATHEMATICS 41. The table shows the number of buttons that were made in a button factory each week for three weeks. Which of the following shows the weeks in order from the week with the greatest number of buttons made to the week with the least number of buttons made ? (A) Week 1, Week 3, Week 2 (B) Week 2, Week 3, Week 1 (C) Week 2, Week 1, Week 3 (D) Week 3, Week 1, Week 2
(E) None of these.
42. Koyal had 8 sticks of icecream. She gave
2 of her sticks of icecream to her friends. How many sticks 8
of icecream is Koyal left with ? (A) 5
(B) 2
(C) 3
(D) 6
(E) None of these.
43. At your skating party you noticed 30 legs on the outdoor ring. How many people and dogs are on the outdoor ring ? (A) 4 dogs, 7 people
(B) 5 dogs, 7 people
(C) 4 dogs, 8 people
(D) 5 dogs, 10 people
(E) None of these. 44. Joy has 1281 baseball cards. Kevin has 1535. If Joy and Kevin combine their baseball cards, how many cards will there be ? (A) 2516
(B) 2816
(C) 2916
(D) 2716
(E) None of these
45. At the bake sale you sold cookies for Rs 5 each. You earned Rs 40. How many cookies did you sell ? (A) 10
(B) 4
(C) 5
(D) 8
(E) None of these.
46. The teacher baked a batch of muffins. There are 16 muffins in a batch. She ate 1/4 of the batch. She baked two more batches. How many muffins does she has now ? (A) 45
(B) 44
(C) 48
(D) 46
(E) None of these.
47. My grandmother's age is divided by 15 and the result is 5. How old is my grandmother ? (A) 75 yrs
(B) 80 yrs
(C) 90 yrs
(D) 45 yrs
(E) None of these.
48. Palakh wrote the number sentences below. 36 = × 4, × D = 18 The value of is the same in both sentences. Both of Palakh number sentences are true. What is the value of D ? (A) 5 (B) 8 (C) 9 (D) 2 (E) None of these.
Class 4
8
49. Payal made the cakes as shown for a bake sale. She sold
9 of the 10
Chocolate Cake
Vanilla Cake
6 of the vanilla cake. Which of the following 10 fractions shows how much more chocolate cake was sold than vanilla cake ?
chocolate cake and
(A)
9 6 – 10 10
(B)
9 6 + 10 10
(C)
1 4 + 10 10
(D)
6 4 – 10 10
(E) None of these.
50. Last week, 228 fourthclass students rode in 4 buses on a field trip. The same number of students rode on each bus. How many students rode on each bus ? (A) 30
(B) 60
(C) 57
(D) 52
SPACE FOR ROUGH WORK
(E) None of these.
3rd
Year 2009
SECTION I : LOGICAL REASONING 1.
How many smiling faces as shown below will there be in Pattern 10? (A) 122 (B) 124 (C) 126 Pattern 1
(D) 128 2.
Pattern 2
Pattern 3
Observe the series given below. 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 .............. What is the 20 th term of the series? (A) 6
3.
(B) 7
(D) 5
Clock I shows the time when Anny starts to draw an apple. Anny takes 20 sec to draw an apple. What will be the correct position of minute hand and second hand on clock II ? (A) P, R
4.
(C) 8
(B) P, Q
11 10 9
12 1
12 1 2
8
4 7 6 5
I
(C) R, S
2
3
3 8
4 7
5
II
(D) Q, S
Weight of an apple as shown by the balance scales is ____________ g. (A) 33 (B) 22
g
g
(C) 28 (D) 9 5.
6.
Which fraction of the adjoining figure is shaded? (A)
6 8
(B)
4 8
(C)
3 8
(D)
5 8
How many triangles are there in the adjoining figure? (A) 29 (B) 30 (C) 32 (D) None of these
7.
Each
is 1 square unit.
are equal to
. Each
is
1 of a 2
square unit. Then the area of given figure is ______ (A) 12 sq. units 8.
(B) 10 sq. units
(C) 8 sq. units
(D) 11 sq. units
How many meaningful words can be formed by the letters W, N, O using all three letters. If no word is formed then mark your answer as X and if one word is formed mark as Y. (A) 2
3 rd IMO | LevelI | Class 4
(B) 3
(C) Y 2
(D) X
9.
How many meaningful words can be made from the second, third, sixth, seventh and tenth letters of the word 'MEANINGFUL', using each letter only once and the words starting with alphabet 'A'? (A) 0 (B) 1 (C) 2 (D) 3
10. What is the missing number ? 3 9
11 8
29
6
(A) 18
2 26
6
20
4 7
16
4
(B) 19
? 10
(C) 20
(D) 21
11. Which is the next figure in the pattern given below?
(A)
(B)
(C)
(D)
12. The adjoining triangle follows a number pattern. What are the values of P and R ? (A) 22, 8 (B) 8, 32 (C) 16, 8 (D) 8, 16
70 48 12 20 28 4 1
12 16 3
5
7
9
13. Some broken parts of mirrors are shown in the alternatives. Which one of them completes the mirror in Fig (X)?
(A)
(B)
(C)
14. Jiya mixed some numbers in the adjoining box. What is the fractional part of 3 among the numbers ? (A)
5 23
(B)
4 22
(C)
5 26
(D)
2 13
Fig (X )
(D)
Box 4 5 1 3 8 3 8 3 2 2 1 2 6 4 8 1 5 8 3 5 2 9
7 2 9 3
15. Rohit has a bag full of 8 red marbles, 4 blue marbles, 5 green marbles and 9 yellow marbles, all of the same size. What is the fraction of red marbles in the bag ? (A)
8 26
(B)
4 26
(C)
5 26
(D)
9 26
16. The diagram given below shows the pattern which Mohit uses to put tiles on his floor. Which column of tiles is missing from Mohit's floor ?
(A)
(B)
(C) 3
(D) 3 rd IMO | LevelI | Class 4
17. Which 2 shapes should be put together to form the square given in figure X ?
Fig. X
(A)
(B)
(C)
(D)
18. Niti rolls a cube which has following shapes on each face.
What is the fraction of symmetric shapes on the cube? (A)
3 6
(B)
1 5
(C)
5 6
(D)
2 6 2cm
19. Sneha used a wire to make the adjoining figure. What is the length of the wire?
3 cm
(A) 15 cm
3 cm 1cm
(B) 12 cm 2 cm
1 cm
(C) 13 cm
2 cm
(D) 14 cm 1 cm
20. The length of the pencil is _______ (A) 6 cm
(B) 7 cm
(C) 7.5 cm
(D) 8 cm
0
cm
1
2
3
4
5
6
7
8
SECTION II : MATHEMATICAL REASONING 21. If
= 42. What is
(A) 7
?
(B) 14
(C) 28
(D) 35
22. Study the number line given below. Fill the correct answer in each box. 993
(A) 994, 998
997
(B) 989, 1001
(C) 990, 1000
(D) 989, 1002
(B) 440
(C) 550
(D) 990
´ 4 =
23. If –
= 330, then
What is
+
(A) 110
?
24. If the weight of the papayas are equal, then weight of 1 papaya is _____. (A) 3
(C) 2
1 kg 4
(B) 4
1 kg 4
1 (D) 1 kg 4
3 rd IMO | LevelI | Class 4
4
1 kg 4
5 kg
0
1 kg 2 kg
4 kg 3 kg
25. Number of common factors of 48 and 86 is/are ______ (A) 2 (B) 3 (C) 4
(D) 1
26. The standard numeral for MDCVI is ____ (A) 1606 (B) 1305
(D) 1402
(C) 1503
27. Arrange the sequence given below in ascending order. 1, 2, 2, 5, 4, 3, 9, 8, 7, 1, 3, 4, 5 Which of the following is the sum of middle and last digit ? (A) 13 (B) 12 (C) 11 28. Container B contains ______ water than container C. (A) 250 ml less (B) 250 ml more (C) 200 ml less (D) 200 ml more
(D) 15 1 litre
750 ml A
C
B
29. How will 8:25 pm be written in a 24 hour clock ? (A) 20: 25 hours (B) 22 : 25 hours (C) 18 : 25 hours
(D) 19 : 25 hours
30. What fraction of the adjoining square is shaded ? 3 3 (A) (B) 5 4 3 3 (C) (D) 8 7 31. Study the addition problem given on the right. What are the values of P, Q, R, S ? (A) 6, 0, 2, 1 (C) 2, 1, 6, 0 32. 8888 = 8000 + (A) 8
4 P 3 Q + R 0 6 4 5 3 S 0
(B) 2, 6, 1, 0 (D) 2, 6, 0, 1 + 8. The missing number is _____ (B) 808
(C) 88
(D) 880
33. Replace ( * ) by a number from the four alternatives. 14 2 = 154 (*)
(A) 28
(B) 26
(C) 22
(D) 19
34. A bakery produces 780 loaves of bread in 6 days. It produces an equal number of loaves each day. How many loaves of bread does the bakery produce each day? (A) 130 (B) 120 (C) 1160 (D) 1120 35. A pile of dictionaries is 32 cm high. Each dictionary is 4 cm thick. How many dictionaries are there in the pile? (A) 8 (B) 128 (C) 18 (D) 62 36. Which of the following numbers is/are not divisible by 4? (A) P, Q
(B) Q, S
(C) R, S
(D) Only S
9080 P
5
6484
4508
8735
Q
R
S
3 rd IMO | LevelI | Class 4
37. Reena multiplies the fifth multiple of 5 by the fourth multiple of 4. What number will she get ? (A) 400 (B) 300 (C) 500 (D) 600 38. Match column I with Column II. Column I Column II (i) Circle (p) Has three sides (ii) Rectangle (q) All the sides are equal (iii) Square (r) Has one centre (iv) Triangle (s) Opposite sides are equal Which of the following is true ? (A) (i) ® p, (ii) ® q, (iii) ® s, (iv) ® r (B) (i) ® r, (ii) ® s, (iii) ® p, (iv) ® q (C) (i) ® r, (ii) ® p, (iii) ® q, (iv) ® s (D) (i) ® r, (ii) ® s, (iii) ® q, (iv) ® p 39. Statement 1 : All rectangles are squares. Statement 2 : All squares are rectangles. Which of the following is true? (A) Only statement 1 (C) Statements 1 and 2
(B) Only statement 2 (D) None of these
40. Match the figures of Column I with Column II. Column I Column II (i)
(p) Rectangle
(ii)
(q) Square
(iii)
(r) Open figure
(iv)
(s) Triangle
(A) (i) ® r, (ii) ® s, (iii) ® q, (iv) ® p (C) (i) ® r, (ii) ® q, (iii) ® s, (iv) ® q
(B) (i) ® r, (ii) ® p, (iii) ® s, (iv) ® q (D) (i) ® r, (ii) ® s, (iii) ® p, (iv) ® q
SECTION III : EVERYDAY MATHEMATICS
(A) 4 km 930 m
(B) 4 km 390 m
(C) 3 km 940 m
(D) 3 km 490 m
1 km 360 m
Mr. Yash's house Post Office
6
MRT Station
Airport
100 m
m
3 rd IMO | LevelI | Class 4
(D) 500, 2000, 2
?
15 0
42. Chandu's father is called the young old man in his village. At 70 years of age he is fully fit. Do you know his secret? He goes for a walk around the field every morning. Every morning he takes four rounds of Chandu's field. Number expression given below shows the distance he covers. 4 ´ P = Q m = R km What are the values of P, Q, R ? (A) 2000, 500, 2 (B) 2000, 2, 500 (C) 2, 2000, 500
2 km 670 m
150 m
41. The airport is 7 km 970 m from Mr. Yash's house. Find the distance between the MRT station and the airport.
100 m
43. James works 9 hours a day. If he earns Rs. 5 in an hour and he works for 2 weeks everyday in the week, how much does James earn? (A) Rs. 630
(B) Rs. 730
(C) Rs. 490
(D) Rs. 940
44. A school teacher bought 280 sweets. If she gives 8 sweets to each pupil in her class, she would need 16 more sweets. How many pupils are there in her class ? (A) 27 pupils
(B) 37 pupils
(C) 47 pupils
(D) 46 pupils
45. The table given below shows the number of story books read by four children in one month. Name of children Sandeep Chinki Raj Shilpi
Number of books ? 12 16 14
1 of the books read by other three children, then how many 3 books did Sandeep read in a month ?
If Sandeep read 5 books more than (A) 14 books
(B) 16 books
(C) 18 books
46. P starts walking from A and stops after reaching F, by following the route as given in adjoining figure. He comes back to A by the same route. If he does the same for 2 days how much distance does he travel? (A) 22 km (B) 44 km (C) 88 km
(D) 19 books
3 km E(school) D(library) 1 km 4 km km F(tuition) 2 B(temple) 1 km
A (home)
(D) 16 km 47. Teena asked Raman the Maths problem given below. If we start adding 2 to consecutive multiples of 5, what will we get, if 2 is added to 11th multiple of 5? Example : (2 + 5, 2 + 10, .........................)
(A) 52
(B) 57
(C) 62
(D) 65
48. A dog is chasing a rabbit.
10 m 11 12 13 14 15 16 17 18
• Dog starts at 10 m and jumps 2 m every time. • Rabbit starts at 14 m and jumps 1 m every time. When does the dog overtake the rabbit, if both start at the same time ? (A) After 3 jumps
(B) After 4 jumps
(C) After 2 jumps
(D) After 5 jumps
49. After buying 3 books at Rs. 15 each, Tina had Rs. 17 left. How much amount did she have at first? (A) Rs. 62
(B) Rs. 63
(C) Rs. 64
(D) Rs. 65
50. How can you divide Rs. 2 in paise ? (A) Eight 50paise coins (B) Four 25paise coins 7
(C) Three 50paise coins (D) Four 50paise coins 3 rd IMO | LevelI | Class 4
4th
Year 2010
Section I : Logical Reasoning 1. Which of the following picture cubes does the adjoining shape make?
(A)
(B)
(C)
(D)
2. Which of the following statements is false ? (A) A rectangle is a quadrilateral. (B) A square is a rectangle. (C) A sphere is a circle. (D) None of these. 3. When Joe got ready for school, he looked at the clock. He also saw the clock's reflection in the mirror. Which picture shows how the clock looked in the mirror ?
(A)
(B)
(C)
(D)
4. Priya is presently at Log Ride. She walked 5 units south and then 5 units west. Which ride did she walk to?
(A) Giant Coaster
(B) Little Dipper
(C) Sky Train
(D) Ferris Wheel
5. Tina and Rohit collect baseball cards. Each has the same number of cards. If Raju gives Tina and Rohit 5 more baseball cards each, who will have the greater number
of baseball cards, Tina or Rohit ? (A) Tina (B) Rohit (C) Both Tina and Rohit will have the same number of baseball cards. (D) There is not enough information to answer the question.
6. Which pair of numbers best completes the equation?
× 100 =
(A)
(C)
(B)
(D)
7. Look at the given series : 7, 10, 8, 11, 9, 12, ....
What number should come next ? (A) 7 (B) 10
(C) 12
(D) 13
8. Tanya is older than Samrat. Mohit is older than Tanya. Samrat is older than Mohit. If the first two statements are true, the third statement is _______.
(A) True
(B) False
(C) Uncertain
(D) None of these
9. A man walks 5 km towards south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. In which direction is he from the starting point ?
(A) West
(B) South
(C) North-east
(D) South-west
10. Two positions of dice are shown below. How many points will appear opposite to the face containing 5 points?
(A) 3 (C) 2
(B) 1 (D) 4
11. In the given figure, triangle represents 'girls', rectangle
represents 'players' and circle represents 'coach'. Which part of the diagram represents girls who are
players but not coach ? (A) P (B) Q
(C) R
(D) S
12. Arrange the words given below in a meaningful sequence.
1. Leaf
2. Fruit 3. Stem
(A) 3, 4, 5, 1, 2
4. Root 5. Flower
(B) 4, 3, 1, 5, 2
(C) 4, 1, 3, 5, 2
13. Which number replaces the question mark? (A) 9 (B) 8 (C) 7 (D) 6
(D) 4, 3, 1, 2, 5
14. Which symbol replaces the question mark?
(A)
(B)
(C)
(D) None of these
15. Which number will replace the question mark ? (A) 1 (B) 4 (C) 3 (D) 6 16. What rule is used for the In-Out machine? (A) Double the number (B) Add 10 (C) Add 15 (D) Subtract 10
17. Look at Mohit's time table.
Which of the following events happens after Mohit eats lunch? (A) Mohit volunteers at library (B) Mohit coaches basketball practice (C) Mohit drops off kids at school (D) None of these
18. Select a figure from four options which when placed in the blank
space of Fig. (X) would complete the pattern.
(A)
(B)
(C)
(D)
19. Kirti puts the tiles shown below into an empty bag and mixes them up.
What fraction of letters are vowels ? (A) 4/10 (B) 4/9
(C) 5/9
(D) 2/9
20. The picture shows all the candy that will be placed in a machine. Each time the handle on the machine is pulled, 1 candy comes out. Alisha will pull the handle on the machine. Which colour of candy is least likely
to come out? (A) Green (B) Blue (C) Pink (D) Yellow
Section II : Mathematical reasoning 21. Which of the following represent the same values ?
(A)
(B)
(C)
(D)
22. Which of the following figures shows only line segment PQ ?
(B)
(A)
(D)
(C)
23. What number should go in the box to make the statement true ?
(A) 8
(B) 6
(C) 4
24. Which of the following is a prime number? (A) 21 (B) 33 (C) 49
(D) 2 (D) 53
25. What number should go in the blank to make the given number sentence true?
(A) 4
26. If
(B) 5 stand for 3,
100 = 4 × ___ × 5 (C) 25 stand for 7,
(D) 100 stand for 20,
stands
for 100, then
stand for ______. (A) 400
(B) 459
(C) 449
(D) 440
27. What fraction of the given figure is unshaded?
(A)
6 10
(B)
3 10
(C)
5 10
(D)
4 10
28. The class is making cards to give to their friends. They must use congruent (same size and shape) triangles. Look at Jamal's triangle. Jamal needs another triangle that is congruent to put on his card. Which triangle should he choose?
(A)
(B)
(C)
(D)
29. A number has 24 ones, 3 hundreds and 15 tens. What is the number? (A) 384 (B) 474 (C) 24,315 (D) 31,524 30.
equals _____ (A) 1/12
(B) 1/6
(C) 1/8
(D) 1/9
31. Tammy has 5 boxes of markers. There are 8 markers in each box. Which of the options shows the way to find the total number of markers that Tammy has ? (A) 5 + 8 = and 8 + 5 = (B) 5 + 8 = and 8 – 5 =
(C) 8 × 5 =
32. If
+
and 8 ÷ 5 = +
(A) 1000
+
(D) 8 × 5 = = 1240, then 1000 –
(B) 690
(C) 380
and 5 × 8 = =
,
– (D) 310
33. Anjali read the given pages each month. In which month did Anjali read most pages? (A) January (B) February (C) March (D) April 34. Which sign goes in the box ? (A) < (B) > (C) = (D) None of these 35. Look at the problem given here. If = 7, what is (A) 3
= ? (B) 7
36. QRST is (A) 5 cm (B) 6 cm (C) 7 cm (D) 8 cm
+ 4 (C) 11
(D) 14
a rectangle. UVWX is a square. Find UT.
= ?
37. Which is true ? (A) 9 ÷ 18 = 18 ÷ 9
(B) 9 + 18 = 18 – 9
(C) 18 + 9 = 18 × 9 (D) 9 + 18 = 18 + 9
38. Which of the following will be a true statement if an equal sign (=) is placed in
the box ? (A) 1 day 24 mins (C) 2 hrs 1 day
(B) 1 hr 60 mins (D) 3600 sec 10 mins
39. The points on this number line represent a pattern.
Which of following number lines continues this pattern of points in the same way ?
(A)
(C)
(D)
(B)
40. Tania bought these items at a sale.
She went to the sale with a ` 500 note. How much money is left with her now?
(A) ` 340
(B) ` 260
(C) ` 240
(D) ` 160
Section III : Everyday Mathematics 41. Sania used the things listed below to make a pizza. 1/4 cup pepper jack; 1/4 cup tomatoes; 3/4 cup onions. What was the total amount of items Sania used to make the pizza?
(A)
5 cup 12
1 (B) 1 cup 4
3 (C) 1 cup 4
5 (D) 1 cup 8
42. Amisha and her friends decided to have a water fight on a hot summer day. They filled a bunch of water balloons and started the fight at 3:45 P.M. The water balloons lasted for 40 minutes. When all the water balloons were gone, they sprayed water with hoses for 45 minutes more, until Amisha's dad showed up with ice cream. What time was it when the water fight ended? (A) 5:10 P.M. (B) 4:25 P.M. (C) 6:10 P.M. (D) 5:20 P.M. 43. Arun works 9 hours a day. If he earns ` 5 an hour and works for 2 weeks everyday
in the week, how much does Arun earn? (A) ` 630 (B) ` 730 (C) ` 490
(D) ` 940
44. Danny filled a measuring cup with 2/3 cup of vegetable oil. Then he poured 1/3 cup of the oil from the measuring cup into a frying pan. How much oil is left in the measuring cup? (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3 45. Which of the following is equivalent to 180 minutes? (A) 1 hour (B) 3 hours (C) 4 hours
(D) 6 hours
46. Valley Transport has been hired to deliver new seats to the Sports Stadium. The company will use 41 trucks to move the seats. If each truck holds 1025 seats, how
many seats will be delivered to the stadium? (A) 41, 825 (B) 41,925 (C) 42, 025
47. A year has 365 days ?
(A) 2190
(D) 42, 125
1 1 days. One day has 24 hours. How many hours are there in 365 (B) 7440
(C) 8760
(D) 8772
48. Uday had 56 trading cards. He gave some of the cards to Jerry. Then Uday had 23 trading cards left. What was the total number of trading cards Uday gave to
Jerry? (A) 23
(B) 33
(C) 39
(D) 79
49. Tamanna bought 4 rolls of film. Each roll could make 27 pictures. What was the total number of pictures that she could make with the 4 rolls she bought? (A) 35 (B) 828 (C) 108 (D) 211 50. There are 5778 blue pens and 7253 black pens in the supply warehouse. How many pens are there in all? (A) 11011 (B) 13031 (C) 12021 (D) 15051 SPACE FOR ROUGH WORK
ANSWER KEYS
1st IMO (2007) 1. 8. 15. 22. 29.
(D) (B) (A) (D) (C)
2. 9. 16. 23. 30
(C) (D) (A) (C) (B)
3. 10. 17. 24.
(A) (A) (A) (C)
4. 11. 18. 25.
(C) (C) (C) (C)
5. 12. 19. 26.
(C) (A) (D) (A)
6. 13. 20. 27.
(A) (A) (D) (D)
7. 14. 21. 28.
(B) (B) (C) (D)
(A) (D) (B) (D) (B) (D) (A)
6. 13. 20. 27. 34. 41. 48.
(D) (A) (B) (D) (D) (D) (D)
7. 14. 21. 28. 35. 42. 49.
(C) (C) (B) (D) (D) (D) (A)
(B) (B) (A) (A) (C) (D) (B)
6. 13. 20. 27. 34. 41. 48.
(C) (A) (C) (A) (A) (C) (B)
7. 14. 21. 28. 35. 42. 49.
(B) (C) (C) (A) (A) (D) (A)
(C) (B) (B) (C) (C) (D) (D)
6. 13. 20. 27. 34. 41. 48.
(B) (A) (A) (D) (B) (B) (B)
7. 14. 21. 28. 35. 42. 49.
(B) (B) (C) (B) (C) (A) (C)
2 nd IMO (2008) 1. 8. 15. 22. 29. 36. 43. 50.
(C) (A) (B) (D) (C) (C) (A) (C)
2. 9. 16. 23. 30. 37. 44.
(B) (C) (A) (C) (A) (A) (B)
3. 10. 17. 24. 31. 38. 45.
(B) (C) (C) (C) (C) (D) (D)
4. 11. 18. 25. 32. 39. 46.
(C) (C) (C) (A) (B) (C) (B)
5. 12. 19. 26. 33. 40. 47.
3 rd IMO (2009) 1. 8. 15. 22. 29. 36. 43. 50.
(A) (B) (A) (D) (A) (D) (A) (D)
2. 9. 16. 23. 30. 37. 44.
(A) (C) (A) (C) (D) (A) (B)
3. 10. 17. 24. 31. 38. 45.
(B) (B) (C) (C) (B) (D) (D)
4. 11. 18. 25. 32. 39. 46.
(B) (D) (C) (A) (D) (B) (B)
5. 12. 19. 26. 33. 40. 47.
4 th IMO (2010) 1. 8. 15. 22. 29. 36. 43.
(C) (B) (D) (B) (B) (A) (A)
50.
(B)
2. 9. 16. 23. 30. 37. 44.
(C) (D) (B) (C) (A) (D) (A)
3. 10. 17. 24. 31. 38. 45.
(B) (D) (B) (D) (D) (B) (B)
4. 11. 18. 25. 32. 39. 46.
(A) (B) (B) (B) (C) (A) (C)
5. 12. 19. 26. 33. 40. 47.
