CREST Mathematics Olympiad (CMO) Class 7 Sample Paper

CLASS

7
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
1st to 4th Achiever’s Section 10 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. A bucket contains 20 1/4 litre of water. A small jug has a capacity of 3/4 litre. How many
times the jug has to be filled with water from the bucket to get it emptied?

(a) 15 (b) 17
(c) 27 (d) 31

2. Each side of a polygon is 2.9 m in length and its perimeter is 17.4 m. How many sides
does the polygon have?

(a) 6 (b) 9
(c) 11 (d) 13

3. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some
keepers. If the total number of feet be 224 more than the number of heads, then find the
number of keepers:

(a) 19 (b) 17
(c) 16 (d) 15

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4. A businessman man sells shirts at a profit of 12 1/2% and invests the proceeds to buy
pants which he sells at a profit of 20%. If he makes a net profit of Rs. 700, then find the
cost of the shirts:

(a) Rs. 2300 (b) Rs. 2000
(c) Rs. 2500 (d) Rs. 2400

5. The simple interest on a certain sum for 3 years at 8% per annum is Rs. 96 more than
the simple interest on the same sum for 2 years at 9% per annum. Find the sum:

(a) Rs. 4800 (b) Rs. 3200
(c) Rs. 2400 (d) Rs. 1600

6. In the given figure, AB||CD and CA has been produced to E so that ∠BAE = 125°. If
∠BAC = x° = ∠ABD, ∠BDC = y° and ∠ACD = z°, then find the value of y:

(a) 50° (b) 85°
(c) 125° (d) 175°

7. In the following figure, ABCD is a parallelogram. The area of triangle EFG is equal to 6
cm2 and DE = EF = 1/3 of CD. Find the area of parallelogram ABCD:

(a) 72 cm2 (b) 56 cm2
(c) 62 cm2 (d) 75 cm2

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8. A rectangular ground is 90 m long and 32 m broad. In the middle of the ground, there is
a circular tank of radius 14 m. Find the cost of turfing the remaining portion at the rate of
Rs. 50 per square:

(a) Rs. 1,1320 (b) Rs. 113,200
(c) Rs. 125,650 (d) Rs. 15,800

Achiever’s Section
9. Which of the following statement(s) is/are true, if:

(1) The quotient of two integers is always a rational number.
(2) 1/0 is not rational.

(a) 1 is true and 2 is the correct explanation of 1.
(b) 1 is true and 2 is false.
(c) 1 is false and 2 is the correct explanation of 1.
(d) Both 1 and 2 are false.

10. The measurements of the triangle DEF are given below:
EF = 8.4 cm, ∠E = 103° and ∠F = 85°. Which of the above statements is true?

(a) Triangle DEF can be constructed.
(b) It is an obtuse angled triangle.
(c) It is an acute angled triangle.
(d) Triangle DEF cannot be constructed.

Answers

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

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