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

The sum of the digits of a 2-digit number is subtracted from the number. The resulting number has the units digit of 3. Which numbers has this property?

a)

All the numbers from 40-49

b)

All the numbers from 50-59

c)

All the numbers from 70-79

d)

All the numbers from 60-69

Q.2

Twenty-four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

a)

6, 18

b)

9, 15

c)

13, 11

d)

12, 12

Q.3

A alone can finish a piece of work in 10 days which B alone can do in 15 days. If they work together and finish it, then out of total wages of Rs. 3000, A will get:

a)

Rs. 1,200

b)

Rs. 1,500

c)

Rs. 1,800

d)

Rs. 2,000

Q.4

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.5

There are a total 9 chocolates - 3 each in the flavours of mango, banana and grape. There are also 4 children. If each child is allowed to choose their own favourite flavour, what is the probability that all of them will get the flavours of their choice?

a) (11/27)
b) (25/28)
c) (25/24)
d) (26/27)

Q.6

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.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

If the 4-digit number x27y is exactly divisible by 4, then the least value of (x + y) is:

a)

0

b)

3

c)

6

d)

9

Q.9

14 pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in 4 days, find the number of extra pumps needed. 

a)

3

b)

5

c)

7

d)

9

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

Your Score: 0/10



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

Answers to Sample Questions from Olympiad Success:

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

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