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.

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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	Sita wrote an exam which had 16 questions. Each question she answers correctly gets her 10 marks. However, she loses 5 marks for each question she answers incorrectly. She attempted all the questions and got a total of 130 marks. How many questions did she answer wrong?
a)	3
b)	4
c)	1
d)	2

Q.2	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

Q.3	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.4	In a jar, there are a certain number of balls with alphabets A, B, C and D written on them. The ratio of balls A : B : C : D is in the ratio 4 : 7 : 3 : 1. If the number of ‘A’ balls is 20 more than the number of ‘C’ balls, what is the total number of 'C' and ‘D’ balls?
a)	60
b)	20
c)	80
d)	100

Q.5	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.6	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.7	Sarika and Saina start walking to school at the same time every morning. The ratio of the distance of Sarika's house to the school and Saina's house to the school is 11:19. If they both reach the school at the same time, then the ratio of the speeds is:
a)	12 : 21
b)	11 : 19
c)	11 : 17
d)	19 : 11

Q.8	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.9	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.10	Which of the following sets are arranged in ascending order?
a)	3.056, 3.56, 3.506, 0.356
b)	0.356, 3.506, 3.56, 3.056
c)	0.356, 3.056, 3.506, 3.56
d)	0.356, 3.506, 3.056, 3.56

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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