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 |
Find the coordinates of points which lies on x-axis at a distance of 4 units from origin in the positive direction of x-axis. |
| a) | (0, 4) |
| b) | (-4, 0) |
| c) | (0, -4) |
| d) | (4, 0) |
Q.2 |
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.3 |
If ∠ADB is a right angle, find the value of angle x. |
| a) | 81° |
| b) | 75° |
| c) | 83° |
| d) | 43° |
Q.4 |
In ∆ PQR, the angle bisectors of ∠PQR & ∠PRQ meet at O. |
| a) | 80° |
| b) | 130° |
| c) | 100° |
| d) | 90° |
Q.5 |
Find the coordinates of the point shown in the picture.  |
| a) |
(7, 1) |
| b) | (2, 1) |
| c) | (1, 7) |
| d) | (7, 0) |
Q.6 |
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.7 |
If x - 1 is a factor of f(x) = x3 - 6x2 + 11x - 6, which of the following is true? |
| a) | f(-x) = 0 |
| b) | f(-1) = 0 |
| c) | f(x) = 0 |
| d) | f(1) = 0 |
Q.8 |
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.9 |
If AB = BC, AD = CD, and ∠ADC = 42°, the measure of ∠ACD is:  |
| a) |
90° |
| b) | 70° |
| c) | 105° |
| d) | 80° |
Q.10 |
Find the coordinate of point whose ordinate is 6 and which lies on y-axis. |
| a) |
(6, 0) |
| b) | (0, 6) |
| c) | (6, 1) |
| d) | (1, 6) |
Your Score: 0/10
Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : c | Q.3 : c | Q.4 : b | Q.5 : b | Q.6 : b | Q.7 : d | Q.8 : d | Q.9 : c | Q.10 : b
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