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.

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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

Which number will replace the question mark in the following?

1	2	3
11	7	5
120	45	?

Q.2	In a survey among students, it was found that 50 students preferred coffee, 46 liked tea and 44 liked juice, 20 students liked coffee and tea, 14 students liked tea and juice, 18 students liked coffee and juice. The number of students who preferred or liked each item alone was 25. If every student liked at least one item, find the total number of students.
a)	99
b)	100
c)	101
d)	none of these

Q.3	Ramakrishnan was getting late for his match. While running out the door, he picks up a fruit from the fruit basket which had the following fruits. What is the probability that Ramakrishnan did not pick up a mango?
a)	(11/28)
b)	(5/7)
c)	(8/28)
d)	(6/35)

Q.4	Ismail drove 3 hours longer than Lovleen at an average speed of 2 km/hour faster than Lovleen. Rohit drove 6 hours longer than Lovleen at an average speed 4 km/hour faster than Lovleen. If Ismail drove 60 km more than Lovleen, then how many more km did Rohit drive than Lovleen?
a)	142
b)	127
c)	132
d)	137

Q.5	The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if:
a)	PQRS is a rectangle
b)	Diagonals of PQRS are equal
c)	Diagonals of PQRS are perpendicular
d)	PQRS is a parallelogram

Q.6	The longer side of a parallelogram is 81 cm and the altitude is 16 cm. If the length of the shorter side is 24 cm, what is the altitude corresponding to the shorter side?
a)	36 cm
b)	54 cm
c)	48 cm
d)	24 cm

Q.7	Find the number of sides of a regular polygon such that sum of its interior angles is 1260 degree.
a)	5
b)	7
c)	9
d)	11

Q.8	In a trapezium of area 189 sq.cm, the length of 2 parallel sides is in the ratio 3: 4. If the height of the trapezium is 9 cm, find the length which is smaller of the 2 parallel sides.
a)	16 cm
b)	15 cm
c)	20 cm
d)	18 cm

Q.9	The sides of a right-angled triangle are 2a cm, ( 2a + 2 ) cm and ( 4a - 2 ) cm long. What is the length of the shortest side of the triangle if its perimeter is 24 cm?
a)	6 cm
b)	8 cm
c)	3 cm
d)	10 cm

Q.10	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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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