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.

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	If we write down all the numbers from 1 to 107 (including 1 and 107), how many digits in total will we write down?
a)	208
b)	214
c)	213
d)	221

Q.2	A spider has 8 legs. A dragonfly has 6 legs. 28 spiders and dragonflies have 200 legs altogether. How many spiders and dragonflies are there?
a)	10, 12
b)	10, 16
c)	18, 14
d)	16, 12

Q.3	Akshiti and Gauri sit on the 10-member board of directors for company X. If the board is to be split up into two 5-person subcommittees, what percent of all the possible subcommittees that include Gauri also include Akshiti?
a)	26.349%
b)	16.349%
c)	36.349%
d)	6.349%

Q.4	Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A: B.
a)	2 : 3
b)	1 : 1
c)	3 : 4
d)	4 : 3

Q.5	If P = 6p² - 7p + 4, Q = -4p² - 5p - 7 and R = 7p² + 9p + 8. Find the value of (P²- Q²+ R²).
a)	289p² + 49p - 361
b)	289p⁴ + 49p² + 361
c)	289p⁴ - 49p² + 361
d)	289p⁴ - 49p² - 361

Q.6	The town newspaper is published every day. One copy has 12 pages. Every day 11,980 copies are printed. How many total pages are printed for all copies every day?
a)	423,540
b)	223,760
c)	143,760
d)	45,890

Q.7	4500 new books arrive at the Central Library. 4/5 of these books are distributed to 3 Branch Libraries. A,B and C, in the ratio of 1: 3: 5. How many books does Branch C receive?
a)	500
b)	1500
c)	2000
d)	2500

Q.8	George bought the following things when he got his first salary: A camera for Rs. 2171.05 Some clothes for Rs. 6149.25 An air conditioner for Rs. 16810.80 If his salary is Rs. 70000, then how much money is he left with after all the shopping?
a)	Rs 44876.25
b)	Rs 44870.10
c)	Rs 44869
d)	Rs 44868.90

Q.9	A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had how many apples?
a)	700 apples
b)	672 apples
c)	600 apples
d)	588 apples

Q.10	The restaurant sells 113.68 litre of milk on Saturday and 16.19 litre more than this quantity on Sunday. The following day, 12.46 litre less milk was sold than the quantity sold on Sunday ________ litre of milk were sold on Monday.
a)	118.41
b)	117.41
c)	126
d)	120.25

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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