BECE 2011 Mathematics Past Questions

1. Which of the following is the set of prime factors of 12?
A. {2, 3}
B. {1, 2, 3}
C. {1, 2, 4, 6}
D. {2, 3, 4, 6}

2. Expand: 3a(a – 4b)
A. 3a - 12ab
B. 3a² -12ab
C. 3a² -12b
D. 3a² -12a

3. Express 5 as a percentage of 4.
A. 125%
B. 120%
C. 25%
D. 20%

4. Express 2700 as a product of prime numbers.
A. 2² x 3² x 5²
B. 2 x 3³ x 5²
C. 2² x 3³ x 5²
D. 2 x 3² x 5³

5. The ratio of mangoes to oranges in a basket is 3 : 2. If there are 36 mangoes, how many oranges are in the basket?
A. 90
B. 60
C. 24
D. 12

6. Express 0.125 as a fraction in its lowest form
A. ⅛
B. 1/9
C. ⅟₁₂
D. ⅟₁₆

7. Convert 222five to a number in base ten
A. 30
B. 52
C. 60
D. 62

8. If A= {18, 19, 20} and B = {15, 16, 17}, find A∩B.
A. {15, 16, 17, 18, 19, 20}
B. {15, 16, 18, 19}
C. {18, 19}
D. ❴ ❵

9. Simplify 3⁹÷3³.
A. 3²⁷
B. 3¹²
C. 3⁶
D. 3³

10. An article which cost GH¢25.00 was sold for GH¢35.00. Find the percentage profit made
A. 10%
B. 28%
C. 40%
D. 70%

11. Factorize completely b²+ fb – mb – fm.
A. (b – f)(b – m)
B. (b + f)(b – m)
C. (b + f)(m – b)
D. (b + f)(m + b)

12. Simplify: -13-(-3)+(-10).
A. -26
B. -20
C. -10
D. -6

13. Find the HCF of 3³x5² and 3²x5⁴
A. 3²x5²
B. 3³x5²
C. 3²x5⁴
D. 3⁵x5⁶

14. State the rule for the mapping
A. x → 15x
B. x → 15 + x
C. x → 15/x
D. x → 10 + 5x

15. Solve the inequality x – ⅓ ≥ ⅔ – x.
A. x≤½
B. x≤⅔
C. x≥½
D. x≥⅔

16. Find the area of a square, if its perimeter is 28 cm.
A. 784cm²
B. 196cm²
C. 49cm²
D. 14cm²

17. Simplify: ⅓(½-⅓) – ⅓(⅓-½)
A. -1/9
B. -⅟₁₈
C. ⅟₁₈
D. 1/9

18. Make n the subject of the relation ∅ = 180 – 360/n.
A. ∅+180/2
B. ∅-180/2
C. 360/180-∅
D. 360/180+∅

19. If R = h/2 + d²/8h, find R when d = 8 and h = 6.
A. 3⅙
B. 4⅓
C. 4¾
D. 4⁹∕₁₆

20. Eight copies of a book cost GH¢16.00. Find the cost of five copies.
A. GH¢2.00
B. GH¢3.20
C. GH¢5.00
D. GH¢10.00

21. Solve the equation ⅕(2+y) = ½(y-1)
A. -3
B. -¾
C. ⁵∕₃
D. 3

22. The gradient of the straight line that passes through points A(3, 2) and B(4, 8) is
A. -⅙
B. -½
C. 2
D. 6

23. A car is travelling at 60 km per hour. How far does it travel in 2½ hours?
A. 30 km
B. 60 km
C. 120 km
D. 150 km

24. In the diagram above RS and WV are parallel lines. The value of the angle marked α is

A. 38°
B. 52°
C. 58°
D. 64°

25. Given that a = (5 2n) and b(2n-1 6) If a = b, find the value of n.
A. 6
B. 3
C. 2
D. 1

26. Find the volume of a cube of side 5cm.
A. 10cm³
B. 15cm³
C. 25cm³
D. 125cm³

27. In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

A. 130°
B. 115°
C. 65°
D. 60°

28. Kwame and Ama shared an amount of money in the ratio 5 : 4 respectively. If Kwame had GH¢9.00, how much did they share?
A. GH¢16.20
B. GH¢36.00
C. GH¢45.00
D. GH¢81.00

29. The area of the trapezium above is

A. 120cm²
B. 180cm²
C. 256cm²
D. 360cm²

30. If r = (2 -5) and s = (-2 5), calculate 2r-3s.
A. (-10 -25)
B. (-2 -25)
C. (10 -25)
D. (10 25)

31. There are 10 red and 15 green balls in a bag. Find the probability of selecting at random a red ball from the bag.
A. ³∕₅
B. ⅖
C. ⅟₁₀
D. ⅟₂₅

32. How many students are in the class?

A. 20
B. 30
C. 45
D. 75

33. What is the modal age?
A. 14
B. 15
C. 16
D. 17

34. If a student is selected at random from the class, what is the probability that the student is 15 years old?
A. ⅕
B. ⅓
C. ½
D. ⅔

35. A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?
A. 0.46
B. 4.60
C. 46
D. 460

36. A refrigerator was sold for GH¢200.00 at a loss of 10%. Find the cost price.
A. GH¢180.00
B. GH¢190.48
C. GH¢220.00
D. GH¢222.22

37. The diagram below is the net of a

A. cone
B. cuboid
C. rectangular prism
D. pyramid

38. What is the value of 7 in the number 832713?
A. Seven thousand
B. Seven hundred
C. Seventy
D. Seven

39. Write 3560 in standard form.
A. 3.56×10⁻⁴
B. 3.56×10⁻³
C. 3.56×10³
D. 3.56×10⁴

40. Correct 0.02751 to three decimal places.
A. 0.027
B. 0.028
C. 0.03
D. 0.28