SOF - IMO PDF Sample Papers for Class 9
Class 9 sample paper & practice questions for International Mathematics Olympiad (IMO) level 1 are given below. Syllabus for level 1 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam.
Q.1 |
A number is as much greater than 22 as is less than 72. Then the number is: |
| a) |
47 |
| b) | 50 |
| c) | 52 |
| d) | 104 |
Q.2 |
A cone of height 4 cm and radius 8 cm is reshaped by a child to form a sphere. Find the radius of the sphere. |
| a) |
1 cm |
| b) | 2 cm |
| c) | 3 cm |
| d) | 4 cm |
Q.3 |
Find x in the following figure: |
| a) | 142⁰ |
| b) | 60⁰ |
| c) | 120⁰ |
| d) | 125⁰ |
Q.4 |
If α and β are the roots of the quadratic equation 2x2 + 6x + k = 0, where k < 0, then what is the maximum value of α/β + β/α? |
| a) |
2 |
| b) | -2 |
| c) | 9 |
| d) | -9 |
Q.5 |
It takes Riaz 30 minutes to mark a paper. Razi only need 25 minutes to mark a paper. If they both start marking paper at 11:00 AM, What is the first time they will finish marking a paper at the same time? |
| a) | 12:30 |
| b) | 12:45 |
| c) | 1:30 |
| d) | 12:25 |
Q.6 |
Find the area of cardboard needed to make a rectangular box 14 cm long, 9 cm wide and 7 cm high. |
| a) |
574 m² |
| b) | 504 m² |
| c) | 520 m² |
| d) | 584 m² |
Q.7 |
If a cuboid is 2.7 cm high, 7.8 cm long and 3.7 cm wide then volume of cuboid is? |
| a) |
77.922 cm3 |
| b) | 82.987 cm3 |
| c) | 83.456 m3 |
| d) | 85.687 cm3 |
Q.8 |
The LCM of two number is 495 and their HCF is 5. If the sum of the number is 100, then find the difference of the number. |
| a) |
10 |
| b) | 46 |
| c) | 70 |
| d) | 90 |
Q.9 |
Radius of sphere is 8 cm. How many small spheres of radii 4 cm can be formed out of it? |
| a) |
2 |
| b) | 4 |
| c) | 6 |
| d) | 8 |
Q.10 |
In ΔPQR, ∠P = 60°, ∠Q = 50°. Which side of the triangle is the longest? |
| a) |
PQ |
| b) | QR |
| c) | PR |
| d) | None of these |
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Sample PDF of SOF - International Mathematics Olympiad (IMO) PDF Sample Papers for Class 9:
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : d | Q.3 : c | Q.4 : d | Q.5 : c | Q.6 : a | Q.7 : a | Q.8 : a | Q.9 : d | Q.10 : a
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