Unified Council - UIMO PDF Sample Papers for Class 10
Class 10 sample paper & practice questions for Unified International Mathematics Olympiad (UIMO) 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 UIMO exam.
Q.1 |
A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches? |
| a) |
40 |
| b) | 58 |
| c) | 45 1/5 |
| d) | 61 1/3 |
Q.2 |
A tangent to a circle (centre O) drawn from an exterior point T to the circle and touches the circle at a point P on the circumference. Which of the following statement is TRUE? |
| a) |
∠TPO > 90° |
| b) | ∠TPO < 180° |
| c) | ∠TPO < 90° |
| d) | ∠TPO = 90° |
Q.3 |
The median of the triangle ABC meets at point G, which of these is not true? |
| a) |
Area of triangle AGC = Area of triangle BGC |
| b) | Area of triangle AGC = Area of triangle AGB |
| c) | Area of triangle AGC = (1/3) Area of triangle ABC |
| d) | None of these |
Q.4 |
A paper is in the form of a square of side 20 cm. Semicircle are down inside the square paper on two sides as diameter. The semi-circular portions are cut off. Find the remaining paper.  |
| a) |
87 cm² |
| b) | 86.3 cm² |
| c) | 86 cm² |
| d) | 85.7 cm² |
Q.5 |
In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"? |
| a) | NU |
| b) | EE |
| c) | TU |
| d) | TO |
Q.6 |
At Bilal’s Discount Hardware everything is sold for 30% less than the market price. If Bilal’s buys tool bits for Rs. 96, what price should he marked them if he wants to make a 20% profit on his cost? |
| a) |
117 |
| b) | 127 |
| c) | 146 |
| d) | 164 |
Q.7 |
In the probability of getting a number greater than or equal to 3 in a throw of a biased dice is 5/6, then how many of the six numbers in the biased dice are definitely less than 3? |
| a) |
2 |
| b) | 3 |
| c) | 1 |
| d) | Cannot be determined |
Q.8 |
Which of these is false? |
| a) |
The diagonal of the parallelogram divide the parallelogram into four equal parts |
| b) | Area of parallelogram is base multiplied by the height |
| c) | If EFGH are the respective midpoints of the sides of the parallelogram ABCD, Area of EFGH is half the area of the parallelogram |
| d) | None of these |
Q.9 |
A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole? |
| a) |
3 2/11 % |
| b) | 12 1/2 % |
| c) | 11 2/3 % |
| d) | 4 2/3 % |
Q.10 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
| a) | a = 2, d = 3 |
| b) | a = 2, d = 2 |
| c) | a = 3, d = 3 |
| d) | a = 1, d = 3 |
Your Score: 0/10
Sample PDF of Unified Council - Unified International Mathematics Olympiad (UIMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : d | Q.3 : d | Q.4 : d | Q.5 : a | Q.6 : d | Q.7 : b | Q.8 : d | Q.9 : c | Q.10 : a
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