SOF - IMO Level 2 Sample Papers for Class 8

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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.

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	A dealer sold a camera for Rs.1080 gaining 1/8 of its cost price. Find the cost price of the camera.
a)	900
b)	960
c)	1500
d)	1160

Q.2	Aamir selects 3 numbers randomly from the following set of 5 numbers. 1,4,2,3 and 15. He puts them in the form of a proper fraction of the type a b/c. What is the probability that he will get a fraction greater than 3 16/17?
a)	(6/36)
b)	(18/36)
c)	(6/30)
d)	(12/30)

Q.3	Which of the following statements is true?
a)	1/0=0
b)	Subtraction is commutative on rational numbers.
c)	-(-7/8) = (7/8) x 1
d)	none of the above

Q.4	Tap A can fill a tank in 12 hours, while tap B can empty the full tank in 16 hours. If both taps are open together, how long will it take to fill an empty tank?
a)	50 hours
b)	48 hours
c)	46 hours
d)	51 hours

Q.5	Shweta asked a riddle to Neelam that if you subtract a number x from 44 times that number, and then take the cube of the difference what will be the result?
a)	81356x³
b)	79518x³
c)	79507x³
d)	85184x³

Q.6	Which of the following is not constructed using a ruler and a set square?
a)	Perpendicular to a line from a point not on it
b)	Perpendicular to a line at a point on a line.
c)	A line parallel to a given line through a given point.
d)	A perpendicular bisector of a line segment.

Q.7	Which of the following expressions gives the products of 7 numbers which have the following properties . The GCD of each pair of numbers in that group is a. The LCM of the 7 numbers is b.
a)	a⁷ x b
b)	a⁶ x b
c)	a⁸ x b
d)	a⁶ x b²

Q.8	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.9	Simplify the following 81^-3/4 x 9 =?
a)	(1/3)
b)	(-1/9)
c)	(1/9)
d)	(-1/3)

Q.10	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