Name of the Organisation : Science Olympiad Foundation
Type of Announcement : Sample Papers - International Mathematics Olympiad 2013 - 14
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International Mathematics Olympiad 2013 - 14
Class : II
1. The largest two digit number is ________.
(A) 01 (B) 100 (C) 90 (D) 99
2.There are 684 pupils in a school. 297 of them are boys. How many girls are there in the school?
(A) 388 (B) 387 (C) 487 (D) 587
3. What is the total cost of the food items displayed ?
(A) 74 (B) 84 (C) 64 (D) 70
4. The number of triangles in the given figure are ________.
(A) 3 (B) 4 (C) 5 (D) 0
5. In 278, 2 is in which place ?
(A) Ones (B) Hundreds (C) Tens (D) None of these
6. 5 Hundreds, 1 ones and 5 tens will make _________.
(A) 551 (B) 510 (C) 155 (D) 515
7. Mrs. Tanuja bakes 20 cup cakes. If she packs 4 cup cakes in one box, how many boxes does she need to pack all the cakes ?
(A) 7 boxes (B) 6 boxes (C) 5 boxes (D) 3 boxes
8. Anu priya had 90. She bought a pair of scissors for 60. How much amount she has now ?
(A) 30 (B) 40 (C) 35 (D) 25
9. When arranged in order from the smallest to the biggest, which number will be at last position in the sequence?
21, 12, 79, 63, 36, 47
(A) 79 (B) 36 (C) 47 (D) 12
10. There are 15 beetles. Ring the beetles into group of 3. How many groups will be formed ?
(A) 5 (B) 6 (C) 4 (D) 3
11. How many sleeping lines are there in the given figure?
(A) 2 (B) 5 (C) 4 (D) 6

Class - X
International Mathematics Olympiad 2013 - 14
Logical Reasoning :
1. Arrange the given word in the sequence in which they occur in the dictionary and then choose the correct sequence.
1. Page 2. Pagan 3. Palisade 4. Pageant 5. Palate
(A) 1, 4, 2, 3, 5 (B) 2, 4, 1, 3, 5 (C) 2, 1, 4, 5, 3 (D) 1, 4, 2, 5, 3
2. What should come at the place of ‘?’ so that every column or diagonal has the same sum?
(A) 19 (B) 12 (C) 13 (D) 15
3. Mohit was looking for his father. He went 90 metres in the East before turning to his right. He went 20 metres before turning to his right again to look for his father at his uncle’s place 30 metres from this point. His father was not there. From here he went 100 metres to the North before meeting his father in a street. How far did the son meet his father from the starting point?
(A) 80 metres (B) 100 metres (C) 140 metres (D) 260 metres

Mathematical Reasoning :
1. If O is the centre of the circle, find the value of x in the given figure.
(A) 75° (B) 40° (C) 65° (D) 90°
2. In the following systems of equations determine the value of k for which the given system of equations has a unique solution:
2x – 3y = 1
kx + 5y = 7
(A)5 /3 (B) 10/ 3 (C) 3 /5 (D) 2/3
3. 7. Given that ÐCAB = 90° and AD ^ BC. If AC = 75 cm, AB = 1 m and BD = 1.25 m, find AD.
(A) 81.83 cm (B) 125 cm (C) 75 cm (D) 93.75 cm
4. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y.
(A) 5 (B) –15 (C) 14 (D) –19
5. The sum of three numbers in A.P. is –3, and their product is 8. Find the numbers.
(A) 2, –1, – 4 (B) – 4, –1, 2 (C) 4, –1, –2 (D) Both (A) and (B)

Everyday Mathematics :
1. Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44 kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?
(A) 20 kg (B) 40 kg (C) 60 kg (D) 64 kg
2. What is the probability that a number selected from the numbers 1, 2, 3, ...., 25 is a prime number, when each of the given numbers is equally likely to be selected?
(A) 2/7 (B) 9/25 (C) 11/25 (D) 2/5
3. A cereal company decided to increase the height of its boxes by 30 percent and reduce the width in order to maintain the same volume. Initially, length = 20 cm, height = 40 cm, width = 30 cm. What will the new width be if the length stays the same?
(A) 52 cm (B) 20 cm (C) 23.08 cm (D) 23 cm

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