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 AB = BC, AD = CD, and ∠ADC = 42°, the measure of ∠ACD is:  |
| a) |
90° |
| b) | 70° |
| c) | 105° |
| d) | 80° |
Q.2 |
Multiplying a number by 8 will result in a number which is divided by 2, What is the relation of the result with the number? |
| a) |
The result will be the product when the number is multiplied by 4 |
| b) | The result will be the square of the number |
| c) | The result will be the cube of the number |
| d) | The result will be the mode result of the number |
Q.3 |
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.4 |
AP and BP are bisectors of angles ∠CAB and ∠CBD, respectively. Find ∠APB. |
| a) | 181° |
| b) | 45° |
| c) | 113° |
| d) | 73° |
Q.5 |
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.6 |
What is the rationalizing factor of 5√(a2b3c4? |
| a) | 5√a3b2c |
| b) | 4√a3b2c |
| c) | 3√a3b2c |
| d) | √a3b2c |
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 |
How many 3-digit number satisfy the property that the digit in the middle is the average of the 1st and the 3rd digit? |
| a) | 46 |
| b) | 47 |
| c) | 45 |
| d) | 44 |
Q.9 |
In ∆ PQR, the angle bisectors of ∠PQR & ∠PRQ meet at O. |
| a) | 80° |
| b) | 130° |
| c) | 100° |
| d) | 90° |
Q.10 |
In the quadrilateral ABCD, AO and DO are the bisectors of ∠A and ∠D respectively. If ∠B = 111° and ∠C = 107° then ∠AOD is:  |
| a) |
19°. |
| b) | 109°. |
| c) | 119°. |
| d) | 129°. |
Your Score: 0/10
Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : a | Q.3 : c | Q.4 : b | Q.5 : d | Q.6 : a | Q.7 : d | Q.8 : c | Q.9 : b | Q.10 : b
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