BECE 2014 Mathematics Past Questions

1. If set N is a subset of set M, then
A. sets M and N have the same number of elements.
B. some members of set N can be found in set M.
C. no member of set N is in set M.
D. all members of set N are in set M.

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A. 10
B. 18
C. 25
D. 28

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A. 3
B. 7
C. 18
D. 21

4. Simplify: 12 - 7 - (-5)
A. -10
B. -2
C. 0
D. 10

5. Express 72 as a product of its prime factors.
A. 2 x 3³
B. 2² x 3³
C. 2³ x 3
D. 2³ x 3²

6. Find the smallest number which is divisible by 16 and 20?
A. 40
B. 80
C. 120
D. 160

7. Convert 243[base five] to a base ten numeral.
A. 40
B. 43
C. 45
D. 73

8. A pineapple which was bought for GH¢1.00 was sold at GH¢1.30. Calculate the profit percent
A. 10%
B. 20%
C. 23%
D. 30%

9. Simplify 35x⁵y³ ÷ 7xy²
A. 5x⁴y
B. 5x⁴y⁵
C. 5x⁶y
D. 5x⁶y⁵

10. Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?
A. 6 hours
B. 8 hours
C. 12 hours
D. 24 hours

11. A boy scores ¹⁷∕₂₅ in a French test. Express his score as a percentage.
A. 17%
B. 34%
C. 68%
D. 85%

12. Arrange the following fractions in ascending order of magnitude,²∕₅, ⁵∕₁₂ and ¾.
A. ²∕₅, ¾, ⁵∕₁₂
B. ²∕₅, ⁵∕₁₂, ¾
C. ⁵∕₁₂, ²∕₅, ¾
D. ¾, ²∕₅, ⁵∕₁₂

13. Kofi paid rent of GH¢1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income.
A. GH¢600.00
B. GH¢5,400.00
C. GH¢6,000.00
D. GH¢18,000.00

14. I gave a storekeeper a GH¢10.00 note for goods I bought. He asked me for another 15 Gp for ease of change. If he then gave me 50Gp, how much did I pay for the goods?
A. GH¢9.35
B. GH¢9.45
C. GH¢9.65
D. GH¢10.65

15. Kojo can buy 15 shirts at GH¢4.00 each. If the price is increased to GH¢5.00, how many shirts can he now buy?
A. 12
B. 15
C. 19
D. 20

16. A hall which is 8 m long is represented on a diagram as 4 cm long. What is the scale of the diagram?
A. 1 : 200
B. 1 : 250
C. 1 : 400
D. 1 : 800

17. Jane arrived at work at 7:55 a.m. and left at 4:15 p.m. For how long was she at work?
A. 7 hr 20 min
B. 7 hr 45 min
C. 8 hr 20 min
D. 8 hr 40 min

18. Given that (3.14 x 18) x 17.5 = 3.14 x (3p x 17.5)
Find the value of p.
A. 3.0
B. 5.8
C. 6.0
D. 9.0

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A. 65°
B. 75°
C. 85°
D. 100°

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A. GH¢140.00
B. GH¢157.00
C. GH¢210.00
D. GH¢350.00

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A. 12.1%
B. 12.5%
C. 22.2%
D. 33.3%

22. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2.
B. Each angle remains the same.
C. The shape of the figure does not change.
D. The size of the figure does not change.

23. Kofi, Kojo and Ama shared GH¢480,000.00 in the ratio 3 : 5 : 4. How much did Ama receive?
A. GH¢160,000.00
B. GH¢200,000.00
C. GH¢218,181.81
D. GH¢342,859.14

24. If w = 12, x = 5, y = 6 and z = 4, find the value of wx – yz.
A. 18
B. 27
C. 36
D. 84

25. A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.
A. 6 years
B. 12 years
C. 18 years
D. 36 years

26. There are 20 identical balls in a box. Twelve are blue and the rest are green. If one ball is taken at random from the box, find the probability that the ball is green.
A. ⅟₂₀
B. ⅖
C. ⅗
D. ¾

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