Q.1 |
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.2 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
a) | A |
b) | B |
c) | C |
d) | D |
Q.3 |
Find the perimeter of ΔPQR. |
a) |
16 cm |
b) | 26 cm |
c) | 28 cm |
d) | 65 cm |
Q.4 |
Find x, y and z in the following figure: |
a) |
38⁰, 52⁰, 142⁰ |
b) | 120⁰, 20⁰, 60⁰ |
c) | 145⁰, 120⁰, 80⁰ |
d) | 45⁰, 120⁰, 80⁰ |
Q.5 |
Identify the identical figures from the following options given. |
a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.6 |
The value of an old bike decreases every year at the rate of 4% over that of the previous year. If its value at the end of years is ₹ 13824, then find its present value. |
a) |
₹ 15,625 |
b) | ₹ 14,525 |
c) | ₹ 16,625 |
d) | ₹ 15,425 |
Q.7 |
If diameter of cylinder is 8 cm and its height is 16 cm then volume of cylinder is: |
a) |
804.352 cm3 |
b) | 810.465 cm3 |
c) | 750.352 cm3 |
d) | 850.098 cm3 |
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 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.10 |
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 |
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 : c | Q.4 : a | Q.5 : c | Q.6 : a | Q.7 : a | Q.8 : d | Q.9 : d | Q.10 : b