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	In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
a)	6.5
b)	6.75
c)	7
d)	6.25

Q.2	Archana's age is a multiple of 7. Next year, his age will be a multiple of 5. If her age is between 20 and 80, how old will Archana be in 8 years' time?
a)	37 years
b)	47 years
c)	57 years
d)	67 years

Q.3	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.4	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.5	Simplify: -[18p² - q² - 5p - 18q + 7 - {10p² - 6q² + 14pq - 8p + q}]
a)	(-8p² - 5q² + 14pq - 3p + 19q - 7)
b)	(-8p² + 5q² - 14pq - 3p + 19q - 7)
c)	(-8p² - 5q² + 14pq + 3p - 19q + 7)
d)	(-8p² + 5q² + 14pq + 3p + 19q - 7)

Q.6	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.7	Find the values for x for the following equation: 3(x + 3) - 2(x -1) = 5(x - 5)
a)	4
b)	6
c)	9
d)	11

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 father divides Rs. 1400 in the ratio 4 : 3 between his son and daughter. Find the share of daughter:
a)	Rs. 600
b)	Rs. 800
c)	Rs. 1000
d)	Rs. 700

Q.10	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

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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