CREST Mathematics Olympiad (CMO) Class 5 Sample Paper

CLASS

5
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. Abhishek has prepared some sets of numbers which have been given below. Which
one of the following sets is the set of integers?

(a) {0, 1, 2, 4, 8, 16, 32} (b) {3, 6, 9, 12, 15}
(c) {-4, -3, -2, -1, 0, 1, 2, 3, 4} (d) All of these

2. In the figure, ∠x is 2/3 of ∠y. AB, PQ and CD are straight lines. How would you
express ∠x as a fraction of ∠z?

(a) 1/3 (b) 2/3
(c) 1/2 (d) 3/5

3. Ram can throw a ball 50 3/5 feet. Shyam can throw the same ball 48 1/3 feet. How
much farther can Ram throw the ball than Shyam?

(a) 2 2/15 feet (b) 2 4/15 feet
(c) 2 3/5 feet (d) 2 4/5 feet

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4. How many triangles are there in the following figure?

(a) 8 (b) 9
(c) 10 (d) 12

5. In the following figure, ABCD is a rectangle. If O is the mid-point of the side AB, find
the area of the shaded region:

(a) 40 cm2 (b) 48 cm2
(c) 56 cm2 (d) 60 cm2

6. Read the following sentences carefully:

I. A set of points which lie on the same line are called collinear points.
II. A set of points at different distances from a fixed point is a circle.
III. A set of points which do not lie on the same line are called non-collinear points.

Which of the following is true?
(a) Only (I) (b) Only (II)
(c) Only (I) and (III) (d) Only (II) and (III)

7. If Jina reads 90 pages a day, it will take her more than 4 days to finish reading a
book. If she reads 80 pages a day, she will take less than 5 days. If the number of
days Jina takes to finish reading is the same as the number of pages she reads
every day, how many pages she must read every day?

(a) 15 (b) 18
(c) 19 (d) 21

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8. The table shows the number of students in five classes. Each student donated
Rs. 255 to the foundation. How much money did they donate in total?

Class 1st 2nd 3rd 4th 5th

Number of 39 47 59 43 69
Students

(a) Rs. 65,535 (b) Rs. 45,890
(c) Rs. 73,655 (d) Rs. 59,905

Achiever’s Section
9. There are 3 numbers. The third number is the greatest. When the third number is
divided by the second number, the quotient is 4. The difference between the second
and third number is 654. If first number is 109 more than the second number, then
find the first number:

(a) 109 (b) 327
(c) 218 (d) 872

10. Figures A and B are made up of identical squares. If the perimeter of Figure A is 25
cm, what is the perimeter of Figure B?

A B

(a) 25 cm
(b) 50 cm
(c) 100 cm
(d) None of the above

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Answers

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

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