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 |
If (x + y)3 - (x - y)3 - 6y(x2 - y2) = ky3, find k. |
| a) | 1 |
| b) | 2 |
| c) | 4 |
| d) | 8 |
Q.2 |
Sneha got an average score of 81.25 in 4 tests. She got 82 as the average of the highest 3 scores, and her lowest two scores are the same numbers. What is the average of her highest two scores? |
| a) |
84 |
| b) | 83.5 |
| c) | 83 |
| d) | 84.5 |
Q.3 |
What is the rationalizing factor of 5√(a2b3c4? |
| a) | 5√a3b2c |
| b) | 4√a3b2c |
| c) | 3√a3b2c |
| d) | √a3b2c |
Q.4 |
A closed box is varnished on the outside at the rate if 5 paise per cm2. What is the total cost of varnishing a box of length 50 cm, breadth 40 cm and height 30 cm? |
| a) |
Rs. 140 |
| b) | Rs. 740 |
| c) | Rs. 470 |
| d) | Rs. 400 |
Q.5 |
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.6 |
Find the solution of the equations (p/x) + (q/y) = m and (q/x) + (p/y) = n? |
| a) |
x = (p2 - q2) / (mp - nq), |
| b) | x = (q2 - p2) / (mp - nq), |
| c) | x = (p2 - q2) / (mp - nq), |
| d) | x = (q2 - p2) / (mp - nq), |
Q.7 |
If ∠DAB = 71° and ∠ABD = 59°, find the value of ∠ACB. |
| a) | 70° |
| b) | 40° |
| c) | 90° |
| d) | 50° |
Q.8 |
If (3, 4) is a solution of the equation 5x - 2y = k, find the value of k. |
| a) | 7 |
| b) | 6 |
| c) | 5 |
| d) | 4 |
Q.9 |
If lines AB and CD intersect as shown below, find the value of angle x. |
| a) | 85° |
| b) | 25° |
| c) | 38° |
| d) | 54° |
Q.10 |
If the division N + 5 leaves a remainder 4, then the ones digit of N might be: |
| a) |
4 or 0 |
| b) | 4 or 9 |
| c) | 4 or 8 |
| d) | none of these |
Your Score: 0/10
Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : b | Q.3 : a | Q.4 : c | Q.5 : b | Q.6 : a | Q.7 : d | Q.8 : a | Q.9 : b | Q.10 : b
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