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	Sarika is standing in a row. If she is n^th from the front and m^th from the back, how many people are standing in the row?
a)	n - 1
b)	n + m
c)	n + m + 1
d)	n + m -1

Q.2	Marks Obtained by Students in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002. What is the percentage of marks obtained by the student in the periodical exams of August, and Oct taken together?
a)	73.25%
b)	77%
c)	78.75%
d)	75.50%

Q.3	Find the fourth proportional to 5, 8, 15 __.
a)	18
b)	19
c)	24
d)	20

Q.4	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.5	Sara is 26 years younger than her mother. Her mother's age will be 3 times her age in 4 years' time. How old is Sara?
a)	6 years
b)	9 years
c)	12 years
d)	None of these

Q.6	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.7	Sheetal buys 8 kg chips for Rs. 1240. Meenal buys 5 kg chips of the same quality at the same rate. How much did Meenal pay for the chips?
a)	Rs. 155
b)	Rs. 455
c)	Rs. 775
d)	Rs. 875

Q.8	Simplify: x² + 5y² + 3xy + 6x - 7y + 8 - [ 12x² - { 14x² - 9y² + 4xy + 3x + 9 } ]
a)	3x² - 4y² + 7xy - 9x - 7y + 17
b)	3x² - 4y² - 7xy + 9x - 7y + 17
c)	3x² - 4y² + 7xy + 9x - 7y + 17
d)	3x² - 4y² + 7xy + 9x - 7y - 17

Q.9	In a piggy bank, number of 25 paisa coins is 7 times the number of 50 paisa coins. If there are 384 coins in the piggy bank, find the total amount of money in the piggy bank.
a)	Rs 107
b)	Rs 110
c)	Rs 108
d)	Rs 111

Q.10	A is 40 m Southwest of B. C is 40 m Southeast of B. Then C is in which direction of A?
a)	West
b)	South
c)	East
d)	North-East

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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