11/22/23, 2:44 PM IMO (International Mathematics Olympiad) Class 3 Level 2 Past Paper (Previous Year) 2012 Part 1 Download

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Logical Reasoning
Q 1. What is the rule for the pattern in the following diagram?

(A) Multiply the number of chocolate by 3.

(B) Increase the number of chocolate by 4.
(C) Increase the number of chocolate by 3.
(D) Increase the number of chocolate by 3 and then by 4.
Q 2. What is the rule for the pattern in the following diagram?

(A) Decrease the number of balls by 5.

(B) Increase the number of balls by 5.
(C) Increase the number of balls by 3.

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(D) Multiply the number of balls by .

th
Q 3. Poonam is standing 9 from left end in a row of 18 students. Her position from right end is ________.
(A) 10th
(B) 9th
(C) 12th
(D) 11th
Q 4. Amit is standing 7th from right end in a row of 22 students. His position from left end is ________.
(A) 13rd
(B) 14th
(C) 15th
(D) 16th
Q 5. Which of the following objects is the heaviest?

(A)

(B)

(C)

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(D)

Q 6. Which of the following objects is the lightest?

Image title: Diagram shows two weight machines

Image description: This diagram shows two weight machines
(A)

(B)

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(C)

(D)

Q 7. Amardeep has a presentation on the 12th day from today. If today is Monday, then what is the day for the presentation?
(A) Sunday
(B) Friday
(C) Wednesday
(D) Saturday
Q 8. Rajeshree has a meeting on the 10th day from today. If today is Sunday, then what is the day for the meeting?
(A) Tuesday
(B) Thursday
(C) Wednesday
(D) Monday
Q 9.

Shows group of 4 hospital, and

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shows group of 4 trees. Which of the following figures shows 8 hospitals and 12 trees?
(A)

(B)

(C)

(D)

Q 10.

Shows group of 6 marbles, and

shows group of 6 pebbles. Which of the following figures shows 18 marbles and 12 pebbles?
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(A)

(B)

(C)

(D)

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Q 11. Pooja has forgotten her password. She only remembers that the password has 5
characters. The characters are not made of straight lines. Which of the following can be her
password?
(A) SCOTS
(B) OC? S@
(C) TOPS $
(D) OCMNP
Q 12. Rajveer has forgotten his password. He only remembers that the password has 4
characters. The characters are made of only 2 straight lines. Which of the following can be
his password?
(A) TLRX
(B) TLUN
(C) XRAY
(D) TWOX
Q 13. Which three parts will complete the figure (X) ?

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(A)

(B)

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(C)

(D)

Q 14. Which two parts will complete the figure (X) ?

(A)
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(B)

(C)

(D)

Q 15. How many squares are there in the given figure?

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(A)
(B)
(C)
(D)
Q 16. How many circles are there in the given figure?

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(A)
(B)
(C)
(D)
Q 17. Which is the mirror image of the given figure?

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(A)

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(B)

(C)

(D)

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Q 18. Which of the mirror image of the given figure?

(A)

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(B)

(C)

(D)

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Q 19. If

is coded as 8,

is coded as 15 and

is coded as 24, then how is

coded?
(A)
(B)
(C)
(D)
Q 20. If 3 is coded as 6,4 is coded as 8 and 5 is coded as 10, then how is 6 coded?
(A)
(B)
(C)
(D)

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Mathematical Reasoning
Q 21. A rectangular piece of paper was folded to form the shape shown here. What is the total length of
the piece of paper before it was folded?

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(A)
(B)
(C)
(D)
Q 22. A rectangular piece of paper was folded to form the shape shown here. What is the total length of
the piece of paper before it was folded?

(A)
(B)
(C)
(D)
Q 23. The sum of first three common multiples of 3,4 and 6 ________.
(A)
(B)
(C)
(D)
Q 24. The second common multiples of 3,6 and 9 ________.
(A)
(B)
(C)
(D)
Q 25. Khushbu can make a paper plane in 3 minutes. She started making paper plane at p. m. and
took a break minutes at p. m. If she finished making planes at p. m. , then the number of
planes made is ________.
(A)
(B)
(C)
(D)
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Q 26. Ambika can make a drawing in 10 minutes. She started making pictures at p. m. and took a
break of 10 minutes at p. m. If she finished making pictures at 7: 30 p. m. , then the number of
pictures made is ________.
(A)
(B)
(C)
(D)
Q 27. What day will it be 79th day from 6th April 20XX?

(A) Sunday
(B) Saturday
(C) Tuesday
(D) Friday
Q 28. What day will it be 92nd day from 3rd March 20XX?

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(A) Sunday
(B) Monday
(C) Thursday
(D) Monday
Q 29. The average of numbers is zero. Of them, at the most, how many may be greater than zero?
(A)
(B)
(C)
(D)
Q 30. If the average marks of two batches of students respectively is then the average
marks of all the students is:
(A)
(B)
(C)
(D)
Q 31. Select the correct match of unshaded fraction.

Figure Fraction

(A)

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Figure Fraction

(B)

(C)

(D)

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2023 Exam

Q 32. Select the incorrect match of shaded fraction.

Figure Fraction

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Figure Fraction

(A)

(B)

(C)

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Figure Fraction

(D)

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2023 Exam

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Q 33. The sum of P, Q and R is ________.

(A)
(B)
(C)
(D)
Q 34. The sum of X, Y and Z is ________.

(A)
(B)
(C)
(D)
Q 35. What are the missing numbers in the boxes?

(A)
(B)
(C)
(D)
Q 36. What are the missing numbers in the boxes?

(A)

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(B)
(C)
(D)
Q 37. If

and

, then

________.
(A)
(B)
(C)
(D)
Q 38. If

and

, then

________.
(A)
(B)
(C)
(D)
Q 39. Grishma travelled from Town S to Town Q and came back to Town S, and Laxmi travelled from Town R to Town P. Who travelled a
longer distance and how much longer?

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(A) Grishma,
(B) Grishma,
(C) Laxmi,
(D) Laxmi
Q 40. Nayra travelled from Town Z to Town X and came back to Town Y and Karina travelled from Town W to Town Y. Who travelled a
shortest distance?

Image title: Diagram shows distance from Town W to Town Z

Image description: This diagram shows distance from Town W to Town Z
(A) Karina,
(B) Nayra,
(C) Karina,
(D) Nayra,
Q 41. If

represent 21, then 56 represents how many

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?
Image title: Image shows 3 smiley faces
Image description: This image shows 3 smiley faces
Image title: Image shows 1 smiley face
Image description: This image shows 1 smiley face
(A)

(B)

(C)

(D)

Q 42. If

represents 25, then 40 represents how many

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?
(A)

(B)

(C)

(D)

Q 43. There are ________ squares in the given figure.

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(A)
(B)
(C)
(D)
Q 44. There are ________ rectangles in the given figure?

(A)
(B)
(C)
(D)

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Q 45. Find the value of .

(A)
(B)
(C)
(D)
Q 46. Find the value of .

(A)
(B)
(C)
(D)
Q 47. The shaded fraction of Figure (X) is ________.

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(A)

(B)

(C)

(D)

Q 48. The unshaded fraction of Figure (X) is ________.

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(A)

(B)

(C)

(D)

Q 49. The capacity of Tank P is liters. The capacity of Tank Q is twice the capacity of Tank
P. what is the total capacity of the two tanks?
(A)
(B)
(C)
(D)
Q 50. The capacity of Tank M is liters. The capacity of Tank N is liters more than the
capacity of Tank M. What is the total capacity of the two tanks?
(A)
(B)
(C)
(D)
Everyday Mathematics
Q 51. A bookstore is open from 8: 30 a. m. to 8: 40 p. m. daily. How long is it open each day?

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(A) Hrs minutes

(B) Hrs minutes
(C) Hrs minutes
(D) Hrs 20 minutes
Q 52. A hospital is open from a. m. to p. m. daily. How long is it open each day?
(A) Hrs minutes
(B) Hrs minutes
(C) Hrs minutes
(D) Hrs minutes
Q 53. Priyanka pours out some water from buckets X, Y and Z. She has 2143 mL of water left
in the 3 buckets altogether. The quantity of water Priyanka poured out is ________.

(A)
(B)
(C)
(D)
Q 54. Amber pours out some water from buckets P, Q, R and S. He has 1964 mL of water left
in the 4buckets altogether. The quantity of water Amber poured out is ________.

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(A)
(B)
(C)
(D)
Q 55. Teena had ₹ 150. Her father gave her ₹ 550 more. How much more should Teena save
to buy the pair of shoes?

(A) ₹ 335
(B) ₹ 353
(C) ₹ 700
(D) ₹ 533

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Q 56. Seema had ₹ 130. Her mother gave her ₹ 460 more. How much more should Seema
save to buy the pair of sandals?

(A) ₹
(B) ₹
(C) ₹
(D) ₹
Q 57. There are 13 cartons, each containing 120 apples. Six cartons contain all the good
apples. The remaining cartons are half-filled with good apples. How many bad apples are
there in all?
(A)
(B)
(C)
(D)

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Q 58. There are 15 cartons, each containing 140 oranges. Eight cartons contain all the good
oranges. The remaining cartons are half-filled with good oranges. How many bad oranges
are there in all?
(A)
(B)
(C)
(D)
Q 59. Suman is 24 years older than her daughter.In two years, his age will be twice the age
of her daughter. The present age of her daughter is
(A) 22 years
(B) 24 years
(C) 20 years
(D) 25 years
Q 60. The sum of the present ages of a mother and her son is 50 years. 5 years ago,
mother՚s age was 3 times the age of the son. After 5 years, son՚s age will be
(A) Years
(B) Years
(C) Years
(D) Years
Q 61. There were girls in the English class. There were twice the numbers of girls in the
sports class. How many girls signed up for the sports class?
(A)
(B)
(C)
(D)
Q 62. There were girls and boys in the Hindi class. There were twice the number
of girls and 175 boys in Dance class. How many boys and girls signed up for the Dance
class?
(A)
(B)
(C)
(D)
Q 63. The weight of a chair is . It is lighter than a table, and sofa is twice as heavy
as the table. Find the weight of the sofa.
(A)
(B)
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(C)
(D)
Q 64. The weight of a table is . It is lighter than a door, and cupboard is twice as
heavy as the door. Find the weight of the cupboard.
(A)
(B)
(C)
(D)
Q 65. Amrita bought a burger and a cake. She gave the cashier ₹ 105 and receiver ₹
change. If the burger costs ₹ , what was the cost of the cake?
(A) ₹
(B) ₹
(C) ₹
(D) ₹
Q 66. Lalit bought a dabeli and a pizza. He gave the cashier ₹ 198 and receiver ₹ 10 change.
If the dabeli costs ₹ 25, what was the cost of pizza?
(A) ₹
(B) ₹
(C) ₹
(D) ₹
Q 67. Rajvi had buttons and she put 18 buttons into each packet. How many packets
were there and how many buttons are left to be put in any6 packet?
(A)
(B)
(C)
(D)
Q 68. Naira had marbles and she put 12 marbles into each packet. How many packets
were there and how many marbles are left to be put in any packet?
(A)
(B)
(C)
(D)
Q 69. Sumi has twice as many flowers as Sachi. Amrita has thrice as many flowers as Sumi.
They have flowers altogether. How many flowers does Amrita have?
(A)

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(B)
(C)
(D)
Q 70. Ruhan has thrice as many balls as Rahul. Rutvik has twice as many balls as Ruhan.
They have balls altogether. How many balls does Ruhan have?
(A)
(B)
(C)
(D)

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