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	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.2	AP and BP are bisectors of angles ∠CAB and ∠CBD, respectively. Find ∠APB.
a)	181°
b)	45°
c)	113°
d)	73°

Q.3	Which of the following pairs of angles are opposite angles of a cyclic quadrilateral?
a)	131°, 28°
b)	95°, 55°
c)	123°, 57°
d)	64°, 32°

Q.4	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.5	The numbers 1 to 15 are written on 15 pieces of paper and dropped into a box. Three of them are drawn at random. What is the probability that the three pieces of paper picked have numbers that are in arithmetic progression?
a)	1.528
b)	0.158
c)	0.116
d)	0.107

Q.6	If x = 1/(2 - √3), find the value of (x³ - 6x² + 6x).
a)	14
b)	8
c)	4
d)	16

Q.7	In ∆ PQR, the angle bisectors of ∠PQR & ∠PRQ meet at O. If ∠QPR = 80°, find the measure of ∠QOR.
a)	80°
b)	130°
c)	100°
d)	90°

Q.8	Reduce the expression into such a form that the product of the factors formed is the original expression. 5y² - 30xy + 6y - 36x
a)	(9y - 6x) (5y + 6)
b)	(6x + y)(5y + 6)
c)	(-6x + y)(5y + 6)
d)	(9y + 6x) (5y + 6)

Q.9	One of the diagonals of a quadrilateral is 6 cm. The perpendiculars drawn to it from its opposite vertices are 2.6 cm & 1.4 cm. Find its area:
a)	12 cm square
b)	40 cm square
c)	26 cm square
d)	28 cm square

Q.10	Find the coordinates of the point shown in the picture.
a)	(7, 1)
b)	(2, 1)
c)	(1, 7)
d)	(7, 0)

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Answers to Sample Questions from Olympiad Success:

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

Answers to Sample Questions from Olympiad Success:

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

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