SOF - IMO Level 2 Sample Papers for Class 9
Resources:
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 |
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 |
Your Score: 0/10
Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : d | Q.3 : b | Q.4 : c | Q.5 : a | Q.6 : a | Q.7 : c | Q.8 : b | Q.9 : d | Q.10 : d
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