SOF - IMO Level 2 Sample Papers for Class 6

Class 6 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	Find the value of : (4.7 X 13.26 + 4.7 X 9.43 + 4.7 X 77.31)
a)	470
b)	370
c)	570
d)	670

Q.2	Fill in the blank: Shyam's uncle is 4 times as old as Shyam. After 12 years, his uncle will be 2 times as old as Shyam. Shyam is _____ years old and his uncle is __ years old.
a)	6, 34
b)	6, 24
c)	7, 28
d)	5, 29

Q.3	The measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is:
a)	an acute angle triangle
b)	a right angled triangle
c)	an obtuse angle triangle
d)	equilateral triangle

Q.4	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.5	Find the false statement.
a)	Number 4 have exactly three factors
b)	If a number is divisible by 21 then it must be divisible by 3 and 7 as well.
c)	78776 is divisible by 6
d)	There are only 2 pairs of twin prime numbers between 10 and 20.

Q.6	Read the following statements carefully and select the correct option. Statement 1: If 6x = 2k and 5y = 10k, then ratio x : y is 1 : 6. Statement 2: The ratio of the number of boys and girls in a school with 504 students is 13 : 11. The new ratio of boys to girls, if 24 more girls are admission in the school is 91 : 81.
a)	Both statements are true
b)	Both statements are false
c)	Statement 1 is true and Statement 2 is false
d)	Statement 1 is false and Statement 2 is true

Q.7	Find the value of P + Q - (R/2) x S
a)	2.96
b)	2.94
c)	1.94
d)	-2.69

Q.8	What will be measurement of ∠JPQ?
a)	60°
b)	30°
c)	45°
d)	15°

Q.9	Two walls of a theatre have to be painted. The first wall is of length 12 metres and height 9 metres. The cost of the paint for this wall is Rs. 20 per square metre. The second wall is of length 13 metres and height 11 metres. The cost of the paint for this wall is Rs. 35 per square metres. Find the ratio of the costs of painting the first wall to the second one:
a)	432 : 1000
b)	20 : 35
c)	433 : 1002
d)	432 : 1001

Q.10	The length of Crayon Y is exactly halfway between the lengths of Crayon X and Crayon Z. What is the total length of Crayons X, Y and Z? (IMO, 2021-22)
a)	19¹⁄₆
b)	30¹⁄₆
c)	42¹⁄₉
d)	28²⁄₉

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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