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.

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

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.2

The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if:



a)

PQRS is a rectangle

b)

Diagonals of PQRS are equal

c)

Diagonals of PQRS are perpendicular

d)

PQRS is a parallelogram

Q.3

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.4

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.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 following graph shows the amount of milk(in litre) that a milkman sold over 10 days. On an average, he sells how many litre of milk everyday?

a) 4 litres
b) 10 litres
c) 7 litres
d) 9 litres

Q.7

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.8

At what rate percent per annum, compound interest will Rs. 10000 amount to Rs. 13,310 in three years?

a)

5%

b)

8%

c)

10%

d)

15%

Q.9

If you subtract a number x from 47 times that number, and then take the square of the difference, what will the result be?

a)

2418x²

b)

2143x²

c)

2148x²

d)

2116x²

Q.10

In a survey among students, it was found that 50 students preferred coffee, 46 liked tea and 44 liked juice, 20 students liked coffee and tea, 14 students liked tea and juice, 18 students liked coffee and juice. The number of students who preferred or liked each item alone was 25. If every student liked at least one item, find the total number of students.

a)

99

b)

100

c)

101

d)

none of these

Your Score: 0/10



Answers to Sample Questions from Olympiad Success:
Q.1 )cQ.2 )cQ.3 )aQ.4 )cQ.5 )bQ.6 )bQ.7 )dQ.8 )cQ.9 )dQ.10 )c

Answers to Sample Questions from Olympiad Success:

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

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