SOF - IMO Level 2 Sample Papers for Class 9

Class 9 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	A well , 14 m deep is 2 m in radius. Find the cost of cementing the inner curved surface at the rate of Rs. 2 per square metre.
a)	Rs. 242
b)	Rs. 352
c)	Rs. 464
d)	Rs. 294

Q.2	The numbers x, y, z and w have an average equal to 25. The average of x, y and z are equal to 27. Find w.
a)	75
b)	100
c)	81
d)	19

Q.3	If the point (1, 5) lies on the graph of the linear equation px + 3y = 18, find the value of p.
a)	4
b)	2
c)	5
d)	3

Q.4	The sides of an equilateral triangle are (2a - b + 5), (a + b) & (2b - a + 2). What is the area of the triangle?
a)	√3/4 x a²
b)	√3/4 x b²
c)	√3/4 x 49
d)	√3/4 x 81

Q.5	If the division N + 5 leaves a remainder 4, then the ones digit of N might be:
a)	4 or 0
b)	4 or 9
c)	4 or 8
d)	none of these

Q.6	If L is the length of diagonal of a cube of volume V, what is the relation between L & V?
a)	3V = L³
b)	√3V = L³
c)	3√3 V = 2L³
d)	3√3 V = L³

Q.7	If coordinates of the point shown in the picture are (p+80, p+5), the value of p is:
a)	-100
b)	-50
c)	-60
d)	-40

Q.8	How many 3-digit number satisfy the property that the digit in the middle is the average of the 1st and the 3rd digit?
a)	46
b)	47
c)	45
d)	44

Q.9	Multiplying a number by 8 will result in a number which is divided by 2, What is the relation of the result with the number?
a)	The result will be the product when the number is multiplied by 4
b)	The result will be the square of the number
c)	The result will be the cube of the number
d)	The result will be the mode result of the number

Q.10	If AB = BC, AD = CD, and ∠ADC = 42°, the measure of ∠ACD is:
a)	90°
b)	70°
c)	105°
d)	80°

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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