Humming Bird - HMO PDF Sample Papers for Class 10
Class 10 sample paper & practice questions for Humming Bird Mathematics Olympiad (HMO) 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 |
What is the probability of getting a total of less than 12 in the throws of two dice? |
| a) | 16/36 |
| b) | 25/36 |
| c) | 35/36 |
| d) | 26/36 |
Q.2 |
If x = sin²θ and y = cos²θ +1, then find the value of x + y. |
| a) |
0 |
| b) | 1 |
| c) | 2 |
| d) | 3 |
Q.3 |
Ankit and Anuj started simultaneously from X and Y respectively. Each person started towards the starting point of the other XY = 18 km. The speeds of Ankit and Anuj throughout their journeys were 5 kmph and 4 kmph respectively. On reaching X or Y, each turned back immediately to resume the journey to his starting point. Find the total distance travelled by Ankit before meeting Anuj for the second time. (in m) |
| a) |
30 |
| b) | 27 |
| c) | 24 |
| d) | 33 |
Q.4 |
A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2. |
| a) |
₹ 10,000 |
| b) | ₹ 12,000 |
| c) | ₹ 8000 |
| d) | ₹ 9000 |
Q.5 |
If f(x) = x² – 5x – 14, find the value of f(7). |
| a) |
-1 |
| b) | 1 |
| c) | 0 |
| d) | 3 |
Q.6 |
Find the value of sin² 10⁰ + sin² 80⁰: |
| a) |
0 |
| b) | 1 |
| c) | 2 |
| d) | 3 |
Q.7 |
What will be the remainder if f(x) = x³ + 4x² – 3x + 1 is divided by (x – 2)? |
| a) | 18 |
| b) | 20 |
| c) | 19 |
| d) | 31 |
Q.8 |
Fill in the blank: The value of Polynomial P(x) =2x3 + 6x2 + 5x - 3 at x = -1 is _____. |
| a) |
-1 |
| b) | -2 |
| c) | -3 |
| d) | -4 |
Q.9 |
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.10 |
If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively: |
| a) | 3 and 5 |
| b) | 5 and 3 |
| c) | 3 and 1 |
| d) | –1 and –3 |
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Sample PDF of Humming Bird - Humming Bird Mathematics Olympiad (HMO) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : c | Q.2 : c | Q.3 : a | Q.4 : d | Q.5 : c | Q.6 : b | Q.7 : c | Q.8 : d | Q.9 : d | Q.10 : c
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