CREST Olympiads - CMO PDF Sample Papers for Class 10

Class 10 sample paper & practice questions for CREST Mathematics Olympiad (CMO) 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 CMO 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

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.2

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.3

The median of the triangle ABC meets at point G, which of these is not true?

a)

Area of triangle AGC = Area of triangle BGC

b)

Area of triangle AGC = Area of triangle AGB

c)

Area of triangle AGC = (1/3) Area of triangle ABC

d)

None of these

Q.4

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.5

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

Q.6

What is the value of D in the equation 9x² + 15x + 4 = 0?

a)

125

b)

49

c)

81

d)

100

Q.7

What is the relation between my daughter and my mother's sister's father-in-law?

a)

father

b)

grandfather

c)

great grandchild

d)

niece

Q.8

If x = sin²θ and y = cos²θ +1, then find the value of x + y.

a)

0

b)

1

c)

2

d)

3

Q.9

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.10

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

Your Score: 0/10


Sample PDF of CREST Olympiads - CREST Mathematics Olympiad (CMO) PDF Sample Papers for Class 10:


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

Answers to Sample Questions from Olympiad Success:

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

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