SOF - IMO Level 2 Sample Papers for Class 8

Class 8 sample paper & practice questions for the level 2 of International Mathematics Olympiad (IMO) are given below. Syllabus for level 2 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam.

Resources:

Sample Questions from Olympiad Success:

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	Ramakrishnan was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Ramakrishnan did not pick up a mango?
a)	(11/28)
b)	(5/7)
c)	(8/28)
d)	(6/35)

Q.2	A closed wooden box 80 cm long, 65 cm wide & 45 cm high, is made of 2.5 cm thick wood. Find the weight if 100 cm³ of wood weighs 8 g.
a)	42.30 kg
b)	4.230 kg
c)	43.20 kg
d)	4.320 kg

Q.3	Ismail drove 3 hours longer than Lovleen at an average speed of 2 km/hour faster than Lovleen. Rohit drove 6 hours longer than Lovleen at an average speed 4 km/hour faster than Lovleen. If Ismail drove 60 km more than Lovleen, then how many more km did Rohit drive than Lovleen?
a)	142
b)	127
c)	132
d)	137

Q.4	Due to heavy rain, Mother warned Dia not to go in the garden. Instead she conducted an activity to play with the numbers. She asked that if a number is divided by 5, remainder is 1. If the same number is divided by 2, remainder is 0. What should be the last digit of the number?
a)	4
b)	6
c)	3
d)	5

Q.5	Archana folds a rectangular paper of size 88 cm x 5 cm in a cylindrical shape such that the height of the cylinder is 5 cm. Find the volume of the cylinder.
a)	3075 cu.cm
b)	3080 cu.cm
c)	3085 cu.cm
d)	3066 cu.cm

Q.6	The sides of a right-angled triangle are 2a cm, ( 2a + 2 ) cm and ( 4a - 2 ) cm long. What is the length of the shortest side of the triangle if its perimeter is 24 cm?
a)	6 cm
b)	8 cm
c)	3 cm
d)	10 cm

Q.7	It has 6 faces which are all squares. It is a prism. It has a cross-section throughout its length. Which among the following figure justifies the condition?
a)
b)
c)
d)

Q.8	An equilateral triangle has a side length 8 cm. What is the area of a region of all the points outside the equilateral triangle that area within 3 cm of the rectangle?
a)	72 + 9Π cm²
b)	79 + 6Π cm²
c)	24 + 3Π cm²
d)	69 - 9Π cm²

Q.9	One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king.
a)	4/13
b)	3/52
c)	1/13
d)	4/26

Q.10	Surjeet drove 3 hours longer than Shilpa at an average speed of 3 km per hour faster than Shilpa. Harsh drove 6 hours longer than Shilpa at an average speed of 6 km per hour faster than Shilpa. If Surjeet drove 40 km more than Shilpa, then how many more km did Harsh drive more than Shilpa?
a)	98
b)	103
c)	93
d)	88

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Answers to Sample Questions from Olympiad Success:

Q.1 )b	Q.2 )d	Q.3 )c	Q.4 )b	Q.5 )b	Q.6 )a	Q.7 )a	Q.8 )a	Q.9 )c	Q.10 )a

Answers to Sample Questions from Olympiad Success:

Q.1 : b | Q.2 : d | Q.3 : c | Q.4 : b | Q.5 : b | Q.6 : a | Q.7 : a | Q.8 : a | Q.9 : c | Q.10 : a

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