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.

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	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.2	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.3	In the given figure, if AB = AC & BD = DC, find the measure of ∠ADC.
a)	60°
b)	120°
c)	90°
d)	110°

Q.4	The difference between the greatest and the smallest number of -5/17, -5/20, -6/24, -4/25 is:
a)	(57/425)
b)	(0/1)
c)	(-9/100)
d)	(-3/68)

Q.5	What is the ordinate of a point on the y - axis?
a)	A positive number
b)	A negative number
c)	0
d)	All of these

Q.6	If X, Y, Z are three points on a line and Y lies between X and Z, which of the following is true?
a)	1/2(XY + YZ) = XZ.
b)	XY + XZ = YZ.
c)	XZ + YZ = XY.
d)	XY + YZ = XZ.

Q.7	A bag contains 3 red balls, 6 blue balls and 7 green balls. Archana draws 2 balls out of the bag. What is the probability that she gets a red ball and a blue ball?
a)	16 / 136
b)	18 / 120
c)	18 / 136
d)	19 / 127

Q.8	A cone completely made of metal (i.e. it is not hollow) has a base radius of 7 cm, and height of 28 cm. If we melt it and recast it into a sphere, what will be the radius of the sphere?
a)	6 cm
b)	7 cm
c)	11 cm
d)	8 cm

Q.9	Which among the following will be the equation of the straight line which is parallel to y-axis, and is at 'a' distance of a from y-axis is:
a)	y - x = a
b)	x = a
c)	y = a
d)	y + x = a

Q.10	The first term in a sequence is 1 and the second term is 5. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence?
a)	3
b)	5
c)	2.5
d)	None of these

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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