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 |
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 |
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.3 |
A man has 30 cookies. He ate one-third of the cookies and divided the remaining between his children in the ratio 5: 3: 2. What is the difference between the number of cookies eaten by the man and the minimum number of cookies received by any of the children? |
| a) |
6 |
| b) | 0 |
| c) | 4 |
| d) | None of these |
Q.4 |
6x – 3y + 10 = 0, 2x – y + 9 = 0 represents two lines which are: |
| a) |
Intersecting at exactly one point |
| b) | Intersecting at exactly two points |
| c) | Coincident |
| d) | Parallel |
Q.5 |
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.6 |
A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced? |
| a) |
3/4 |
| b) | 4/7 |
| c) | 3/7 |
| d) | 4/3 |
Q.7 |
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.8 |
If A, B, D are 3 points in a ground. A is to the West of B, B is to the North of D, and D is to the South-East of A, what angles does BAD make? |
| a) | 180 |
| b) | 125 |
| c) | 90 |
| d) | 45 |
Q.9 |
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.10 |
Find the perimeter of ΔPQR.  |
| a) |
16 cm |
| b) | 26 cm |
| c) | 28 cm |
| d) | 65 cm |
Your Score: 0/10
Sample PDF of Humming Bird - Humming Bird Mathematics Olympiad (HMO) PDF Sample Papers for Class 10:
Answers to Sample Questions from Olympiad Success:
Q.1 : d | Q.2 : a | Q.3 : a | Q.4 : d | Q.5 : c | Q.6 : a | Q.7 : d | Q.8 : d | Q.9 : d | Q.10 : c
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