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

If H.C.F. of two numbers is 68 and 85 is 17. What is the L.C.M. of two numbers?

a) 340
b) 350
c) 360
d) 370

Q.2

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.3

A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container.

a)

28.56 L

b)

14.28 L

c)

15 L

d)

24 L

Q.4

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.5

If f(x) = x² – 5x – 14, find the value of f(7).

a)

-1

b)

1

c)

0

d)

3

Q.6

Look at the image given below and find the value of ∠BTQ.



a)

30⁰

b)

45⁰

c)

75⁰

d)

90⁰

Q.7

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.8

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

Q.9

Which prime numbers will be repeatedly multiplied in prime factorization of 3200?

a)

2 and 5

b)

4 and 2

c)

2 and 6

d)

5 and 8

Q.10

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

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

Answers to Sample Questions from Olympiad Success:

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

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