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.

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	Surjeet drove 3 hours longer than Shilpa at an average speed of 3 km per hour faster than Shilpa. Harsh drove 6 hours longer than Shilpa at an average speed of 6 km per hour faster than Shilpa. If Surjeet drove 40 km more than Shilpa, then how many more km did Harsh drive more than Shilpa?
a)	98
b)	103
c)	93
d)	88

Q.2	It has 6 faces which are all squares. It is a prism. It has a cross-section throughout its length. Which among the following figure justifies the condition?
a)
b)
c)
d)

Q.3	Usha wants to print some brochures for her business. If she goes for style 1, it will cost her Rs. 81 plus 0.15 per brochure. If she goes for style 2, it will cost her Rs. 15 plus 0.3 per brochure. For how many brochures will the price for both the style be the same?
a)	440
b)	445
c)	455
d)	430

Q.4	At what rate percent per annum, compound interest will Rs. 10000 amount to Rs. 13,310 in three years?
a)	5%
b)	8%
c)	10%
d)	15%

Q.5	Name the property of multiplication illustrated by: -4/3 x ( -6/5 + 8/7 ) = ( -4/3 x -6/5 ) + ( -4/3 + 8/7 )
a)	Associative property
b)	Distributive property
c)	Commutative property
d)	Closure property

Q.6	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.7

Which number will replace the question mark in the following?

1	2	3
11	7	5
120	45	?

Q.8	If the 4-digit number x27y is exactly divisible by 4, then the least value of (x + y) is:
a)	0
b)	3
c)	6
d)	9

Q.9	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

Q.10	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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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