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.

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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	In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs. How many pigeons are there?
a)	180
b)	170
c)	150
d)	120

Q.2	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.3	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.4	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.5	Suppose that y varies inversely as x when x = 5 and y = 6/5. Find the value of x when y = 4.
a)	6
b)	3/2
c)	50/3
d)	3/50

Q.6	Sara has Rs. 836 with her. She gives 9/11 of this to her sister. Out of the remaining money, she gives Rs. 38 to her brother. She now has a fraction of the original amount is left with her:
a)	124/546
b)	114/836
c)	224/800
d)	114/885

Q.7	If A = 3x + 2y - 5z and B = 2x - 3y - 3z then find the value of 2(A - B).
a)	2x + 10y - 4z
b)	2x + 10y + 4z
c)	2x - 10y - 4z
d)	x + 5y -2z

Q.8	The ratio of 3 numbers is 3 : 4 : 5 and the sum of their square is 1250. Find the sum of the numbers.
a)	30
b)	50
c)	90
d)	60

Q.9	Identify the net of the given solid.
a)
b)
c)
d)

Q.10	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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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