SOF - IMO Level 2 Sample Papers for Class 7

Class 7 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

If two lines are perpendicular to each other then the angle between them is:

a)

180°

b)

90°

c)

45°

d)

30°

Q.2

The difference of the squares of two consecutive even integers is divisible by which of the following integers?

a)

7

b)

6

c)

4

d)

3

Q.3

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?

a) 240
b) 270
c) 295
d) 360

Q.4

There are 222 red balls in a basket. A boy takes out 6 red balls from it and replaces by 12 white balls. He continues to do so, till all red balls are replaced by white balls. Then the number of white balls put in the basket is ____. 

a)

333

b)

345

c)

444

d)

400

Q.5

Match the statements given in Column-I with their corresponding equations given in Column-II and select the correct option.

  Column I   Column II
A Think of a number multiply it by 5 and add 6 with it. The result is 8. P (x/6) + x = 8
B 6 taken away from the product of 5 and a number x gives 8 Q 5x + 6 = 8
C One sixth of number added to itself gives 8. R 5x - 6 = 8
D The product of 5 and x subtracted from 6 gives 8 S 6 - 5x = 8

a)

A - Q, B - R, C - P, D - S

b)

A - R, B - Q, C - P, D - S

c)

A - Q, B - R, C - S, D - P

d)

A - S, B - R, C - P, D - Q

Q.6

How many more triangular units must be unshaded so that 3/4 of the given figure is unshaded?
(IMO, 2018 - 19)

a) 7
b) 9
c) 12
d) 20

Q.7

Which of the following are like fractions?

a)

2/5, 2/7, 2/9, 2/11

b)

2/3, 3/4, 4/5, 5/6

c)

1/8, 3/8, 5/8, 7/8

d)

None of these

Q.8

Find the smallest 4-digit number which is divisible by 18,24 and 32.

a)

1170

b)

1152

c)

1134

d)

1118

Q.9

Solve the following:
5.8 x 2.5 + 0.6 x 6.75 + 139.25

a)

157.6

b)

147.8

c)

147.6

d)

157.8

Q.10

The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?

a)

24 m

b)

21 m

c)

27 m

d)

18 m

Your Score: 0/10



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

Answers to Sample Questions from Olympiad Success:

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

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