CREST Mathematics Olympiad (CMO) Class 6 Sample Paper

CLASS

6
SAMPLE PAPER

CREST Mathematics Olympiad (CMO)

Syllabus for CMO is available at https://www.crestolympiads.com/cmo-syllabus

Pattern And Marking Scheme
Class Topic/Section No. of Marks per Questions Total Marks
Questions
Practical Mathematics 25 1 25
Achiever’s Section 10
st th
1 to 4 2 20
Grand Total 35 - 45
Practical Mathematics 40 1 40
5th to 10th Achiever’s Section 10 2 20
Grand Total 50 - 60

1. The length, breadth and height of a room are 1050 cm, 750 cm and 425 cm,
respectively. Find the length of the longest tape which can measure all the three
dimensions of the room exactly:

(a) 15 cm (b) 25 cm
(c) 50 cm (d) 75 cm

2. 50 chairs and 30 blackboards were purchased for a school. If each chair costs Rs. 1065
and each blackboard costs Rs. 1645, then find the total amount of the bill:

(a) Rs. 102,060 (b) Rs. 106,500
(c) Rs. 120,650 (d) Rs. 102,600

3. The solid below is made up of cubes. How many cubes are required to make the given
solid?

(a) 14 (b) 16
(c) 18 (d) 19

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4. The figure shown below is shaded to represent a fractional number:

How many of the stars in the group below must be shaded to represent a fraction with
the same value?

(a) 5 (b) 6
(c) 8 (d) 10

5. A bag contains 25-paise and 50-paise coins whose total value is Rs. 30. If the number
of 25-paise coins is four times that of 50-paise coins, then find the number of each type
of coins:

(a) 40 and 30 (b) 20 and 40
(c) 80 and 20 (d) 60 and 20

6. Abhishek surveyed the students of his school to determine their favourite sport. The
results are shown below in the graph.
How many more students like basketball than cricket?

(a) 60 (b) 40
(c) 120 (d) 20

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7. Which of the following statements is incorrect?

(a) Each diagonal of quadrilateral divides it into two triangles.
(b) A quadrilateral has two diagonals.
(c) A quadrilateral can have at most three angles.
(d) Each side of a quadrilateral is less than the sum of remaining three sides.

8. The sides of a right-angled triangle are 2a cm, 2a + 2 cm and (4a – 2) cm long. What is
the length of the shortest side of the triangle if its perimeter is 24 cm?

(a) 8 cm (b) 10 cm
(c) 3 cm (d) 6 cm

Achiever’s Section
9. Which of the following properties is incorrect with respect to the properties of whole
numbers?

(a) Addition and subtraction are commutative.
(b) Division by 0 is not defined.
(c) Multiplication is distributive over addition.
(d) They are closed under addition and multiplication.

10. Study the steps of construction given below:
Step I: Draw a ray OA.
Step II: With O as centre and any convenient radius draw an arc MN to cut ray OA at
M.
Step III: With M as centre and the same radius draw an arc to cut MN at P.
Step IV: With P as centre and the same radius draw an arc to cut MN at Q.
Step V: Draw OQ and produce it to D. An angle AOD is constructed.

Which is the measure of ∠AOD?

(a) 60° (b) 30°
(c) 120° (d) 45°

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Answers

1. (b), 2. (d), 3. (a), 4. (b), 5. (c), 6. (a), 7. (c), 8. (d), 9. (a), 10. (c).

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