Mathematics Olympiad Previous Year Paper - 3

Note: The questions provided in this document are similar to the questions that were asked in the actual Olympiad exam. So, we recommend you study these for your Olympiad preparation.

Logical Reasoning

Q1: Which of the following letters is not hidden in the given figure?
(a) A
(b) Q
(c) I
(d) H

Q2: Find the odd one out.
(a) Milk
(b) Honey
(c) Ice
(d) Coffee

Q3: If 'home' is called 'pizza', 'pizza' is called 'glass', 'glass' is called 'cycle', and 'cycle' is called 'car', then Ravi will eat ______ with his friend.
(a) home
(b) glass
(c) pizza
(d) cycle

Q4: In a park, 35 students are sitting in a line. Raveena is sitting in the middle. What is her position from the left end?
(a) 19^th
(b) 18^th
(c) 17^th
(d) 16^th

Q5: Given below is a series of numbers, which follows a certain pattern:
19, 28, 37, 46, ?
If the pattern continues in the same way, what will be the next number?
(a) 49
(b) 53
(c) 55
(d) 57

Q6: There is a certain relationship between the numbers of the pair on either side of the symbol (: :). Identify the relationship of the given pair and find the missing number.
(a) 10
(b) 13
(c) 15
(d) 20

Q7: Which letter from the given options will replace the question mark (?) to form the name of a vegetable and the name of a fruit?

(a) A
(b) I
(c) S
(d) C

Q8: How many more squares are there in the picture than hearts?

(a) 15
(b) 14
(c) 13
(d) 12

Q9: Identify the category of the word formed after arranging the given letters.
GNAOM
(a) Flower
(b) Animal
(c) Fruit
(d) Food

Q10: Which of the following words cannot be formed from the letters of the given word?
COMMUNICATION
(a) Cat
(b) Onion
(c) Coconut
(d) Munich

Mathematical Reasoning

Q12: Division is the inverse of
(a) multiplication
(b) addition
(c) subtraction
(d) None of these

Q13: What number should be added to 99,999 to get the smallest 6-digit number?
(a) 1
(b) 2
(c) 3
(d) 5

Q14: Look at the number sentence given below:

Which of the following numbers will make the above sentence true?
(a) 53
(b) 64
(c) 71
(d) 85

Q15: Which of the shapes given as options is missing in the figure below?

(a) Square
(b) Hexagon
(c) Circle
(d) Rectangle

Q16:  is a cube. How many such cubes are needed to make the figure below?

(a) 4
(b) 5
(c) 6
(d) 8

Ans: (d)

Q17:  is a cube. How many such cubes are needed to make the figure below?

(a) 4
(b) 8
(c) 12
(d) 16

Q18: How many corner points are there in the figure given below?

(a) 15
(b) 12
(c) 11
(d) 10

Q19: There are 1,39,230 students in a school. If 63,596 students are absent on a particular day, how many students are present on that day?
(a) 75,634
(b) 70,634
(c) 65,634
(d) 60,634

Q20: Arpit travelled from point A to point B and covered 1750 km. While returning, he took a shortcut, in which he just travelled 1250 km. What is the difference between the two distances travelled?
(a) 400 km
(b) 450 km
(c) 500 km
(d) 550 km

Q21: There are 467 bird families living near a mountain. If 32 bird families fly away for winter, how many bird families are left near the mountain?
(a) 147
(b) 227
(c) 425
(d) 435

Q22: What fraction of the given figure is unshaded?

(a) 4/9
(b) 2/5
(c) 5/9
(d) 1/2

Q23: Which of the following is true?
(a) 2016 - 1290 = 726
(b) 3206 - 1256 = 1850
(c) 2407 - 1265 = 1042
(d) Both (1) and (3)

Q24: If A × A = 49, A + B = 19, then find the value of A × B.
(a) 19
(b) 68
(c) 82
(d) 84

Q25: Manish thinks of a number and then adds 5 to it. The answer that he gets is 14. What is the number he thought of?
(a) 9
(b) 10
(c) 8
(d) 7

Q26: The difference between 367 tens and ______ is 1367.
Which of the following numbers will come in the blank space?
(a) 2560
(b) 1734
(c) 2303
(d) 4520

Q27: Mr Ajay wrote a problem on the blackboard as shown in the given box.

Which of the following number sentences matches the problem?

(a) 45 ÷ __ = 27
(b) 27 + __ = 45
(c) __ x 27 = 45
(d) 45 x 27 = __

Q28: Miss Sunita wants to give one pen to each student.
(i) There are 42 students in her class.
(ii) The pens come in packs of 7.
Which of the following can be used to find the number of boxes of pens Miss Sunita needs?
(a) 42 + 7
(b) 42 ÷ 7
(c) 42 - 7
(d) 42 x 7

Q29: If Jug + Jug + Jug + Jug + Jug = 775 ml, then Jug = _________.
(a) 165 ml
(b) 155 ml
(c) 145 ml
(d) 135 ml

Q30: If , then the weight of each apple is ________.
(a) 30 g
(b) 40 g
(c) 50 g
(d) 60 g

Achievers Section

 Rahul went to buy groceries. He purchased 3 pineapples, 2 pumpkins and 2 watermelons. How much weight would he have to carry home?
(a) 13 kg
(b) 16 kg
(c) 17 kg
(d) 18 kg

Q32: In a hotel, different combinations of food items are available as follows.

Which of the given combinations costs least?
(a) Combo 2
(b) Combo 1
(c) Combo 3
(d) Combo 4

Q33: A figure containing 5 squares is given below. Find the length of each side of square B.

(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm

Q34: Find the 4-digit number.
(i) It is an odd number
(ii) The tens digit is the smallest one-digit number.
(iii) The hundreds digit is the tens digit of 2500 - 563.
(iv) The thousands digit is the largest one-digit number.
(a) 1931
(b) 2356
(c) 9311
(d) 9513

Q35: A play is scheduled in a theatre for the third Thursday of August. A magic show is scheduled to be held 8 days prior to that. For which date is the magic show scheduled?

(a) August 4
(b) August 7
(c) August 9
(d) August 11