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.

Sample Questions from Olympiad Success:
Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

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

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.3

First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)?

a)

10/3

b)

10/9

c)

10/6

d)

10/4

Q.4

T has child J. J has children M and N. M is married to C and has a child O. What is the relation between O and T?

a)

mother-in-law

b)

father-in-law

c)

grandparent

d)

great grandparent

Q.5

In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and the average of books received by remaining students be an integer, then which of the following could be the number of received same number of books?

a)

11

b)

15

c)

20

d)

25

Q.6

If you stand at the centre, and face towards South. Now you move at an angle of 100 degrees clockwise, then in which direction do you face now?

a)

North

b)

South

c)

North-West

d)

South-West

Q.7

Match the statements of Column A with the values of Column B:

Column A     Column B
i. Total surface area of a cylinder whose height is / and base radius is r     A. πrl/3
ii. Total surface area of a cone whose base radius is (r)  with slant height l.      B. 3πrl
iii. Curved surface area of a cone frustum whose base radius is equal to twice to the radius of its top (r) and slant height l.     C. πr(l + r)
iv. Curved surface area of a cone whose base radius is r and slant height is 1/3.     D. 2πr(l + r)

a)

(i) - (A); (ii) - (C); (iii) - (B); (iv) - (D)

b)

(i) - (D); (ii) - (C); (iii) - (B); (iv) - (A)

c)

(i) - (D); (ii) - (B); (iii) - (A); (iv) - (C)

d)

(i) - (C); (ii) - (B); (iii) - (D); (iv) - (A)

Q.8

Identify the similar pair of words as given below:

Stone: Sculpture:: 

a)

Mural: Painting

b)

Opera: Stage

c)

Canvas : Easel

d)

Clay: Pottery

Q.9

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.10

What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius?

a)

2πr3

b)

4πr2

c)

6πr2

d)

8πr2

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Answers to Sample Questions from Olympiad Success:
Q.1 )dQ.2 )aQ.3 )aQ.4 )dQ.5 )dQ.6 )cQ.7 )bQ.8 )dQ.9 )dQ.10 )b

Answers to Sample Questions from Olympiad Success:

Q.1 : d | Q.2 : a | Q.3 : a | Q.4 : d | Q.5 : d | Q.6 : c | Q.7 : b | Q.8 : d | Q.9 : d | Q.10 : b

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