# 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. Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10
 Q.1 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.2 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.3 Given a complex expression, if reduced to its simplest form, which among the following will be the factors of the expression? -2xy + 7y + 4x - 14 a) (-2x + 7)(-y - 2) b) (-2x + 7)(y - 2) c) (2x + 7)(y - 2) d) (-2x + 7)(y + 2)
 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 What is the rationalizing factor of 5√(a2b3c4? a) 5√a3b2c b) 4√a3b2c c) 3√a3b2c d) √a3b2c
 Q.6 BC is a chord of a circle with centre O. A is a point on major arc BC. Find the total measure of ∠BAC & ∠OBC. a) 90° b) 100° c) 120° d) 150°
 Q.7 In the given figure, if AB = AC & BD = DC, find the measure of ∠ADC. a) 60° b) 120° c) 90° d) 110°
 Q.8 Which of the following statements is true? a) The ordinate is positive to the right of the origin. b) The ordinate is negative below x-axis. c) The ordinate is negative to the left of the origin. d) Ordinate is negative above x-axis.
 Q.9 If ∠DAB = 71° and ∠ABD = 59°, find the value of ∠ACB. a) 70° b) 40° c) 90° d) 50°
 Q.10 If coordinates of the point shown in the picture are (p+80, p+5), the value of p = a) -100 b) -50 c) -60 d) -40