BECE 2019 Mathematics Past Questions

1. Given that A= {2, 4, 6, 8, 10} and B = {4, 8, 12}, find A∪B.
A. {4, 8}
B. {2, 8, 12}
C. {2,4,6,8, IO, 12}
D. {2,4,6,8, 10, 12}

2. Express 0.000344 in standard form.
A. 3.44 x 10-⁶
B. 3.44 x 10-⁵
C. 3.44 x 10-⁴
D. 3.44 x 10-³

3. Which of the following numbers is the largest?
A. -70
B. -50
C. -3
D. -2

4. Correct 0.024561 to three significant figures.
A. 0.03
B. 0.025
C. 0.0245
D. 0.0246

5. Simplify: (7 ⁵x7³ ) ÷ 7⁶
A. 7⁹
B. 7⁴
C. 7³
D. 7²

6. How many lines of symmetry has a square?
A. 0
B. 1
C. 2
D. 4

7. Solve the equation 10 – x+3/2=8
A. -9
B. -3
C. 1
D. 15

8. Factorize: kx + 2xt – 4k- St
A. (k-2t) (x + 4)
B. (k + 2t) (x + 4)
C. (k+ t)(x-4)
D. (k+ 2t) (x-4)

9. There are 12 boys and 18 girls in a class. Find the fraction of boys in the class.
A. ⅖
B. ⅗
C. ⅔
D. ¾

10. Express 30 % as a fraction in its lowest term
A. ⁷∕₁₀
B. ³∕₂₀
C. ⁷∕₂₀
D. ³∕₁₀

11. Make k the subject of the relation, ky-k=y²
A. k=y²/y-1
B. k=y²/y+1
C. k=y²+1/y-1
D. k=y²/y-1

12. The mean of the numbers 5, 2x, 4 and 3 is 5. Find the value of x.
A. 3
B. 4
C. 5
D. 8

13. Find the rule of the mapping:
A. y=2x+2
B. y=-2x+ 2
C. y=4x
D. y=-2x+ 5

14. The two sides of a parallelogram are 4.8 m and 7.2 m long. Find its perimeter.
A. 48.0m
B. 34.6m
C. 24.0m
D. 17.3m

15. A tank in the form of a cuboid has length 6 m and breadth 4m. If the volume of the tank is 36 m3 , find the height.
A. 0.67m
B. 1.5m
C. 1.8m
D. 5.0m

16. If the bearing of A from B is 240°, find the bearing of B from A.
A. 040°
B. 060°
C. 120°
D. 300°

17. Find the truth set of the inequality 2y +5<4y-5.
A. {y:y> 5}
B. {y:y<5}
C. {y:y>1}
D. {y:y>0}

18. Find the gradient of the straight line which passes through the points (-3, 4) and (3, -2).
A. 2
B. 1
C. -2
D. -1

19. If 6 : 8 = r : 48, find the value of r.
A. 36
B. 34
C. 14
D. 12

20. Find
A. 70°
B. 40°
C. 35°
D. 20°

21. A man travelled a distance of 8 km in an hour. How long will it take him to cover a distance of 12 km, travelling at the same speed?
A. 1⅓hrs
B. 1½hrs
C. 1¾hrs
D. 2hrs

22. A number is selected at random from: 25, 26, 27, 28, … , 35. Find the probability that the number selected is a prime number.
A. ⁶∕₁₁
B. ³∕₁₁
C. ²∕₁₁
D. ¹∕₁₁

23. Express ¹²∕₂₅ in decimal fraction.
A. 0.0408
B. 0.048
C. 0.408
D. 0.48

24. Find the diameter of a circle whose circumference is 88cm [ Takeπ=²²∕₇ ].
A. 14cm
B. 22cm
C. 28cm
D. 82cm

25. When twelve is subtracted from three times a certain number and the result is divided by four the answer is eighteen. Find the number.
A. 84
B. 40
C. 28
D. 20

26. In the diagram, line MN is parallel to line TU, line TS cuts line MN at O and
A. 65°
B. 55°
C. 45°
D. 25°

27. Given that r= ( ) and t= ( ), find r+t.
A. Bonus
B. NA
C. NA
D. NA

28. A trader sold 90 oranges at 3 for OH¢ 0.75. How much did she get from selling all the oranges?
A. GH¢22.50
B. GH¢67.50
C. GH¢75.00
D. GH¢225.50

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

30. Simplify: 3a x 24ab.
A. 27ab²
B. 27a²b
C. 72ab²
D. 72a²b

31. Simplify: ( )+ ( ).
A. Bonus
B. NA
C. NA
D. NA

32. Multiply 247 by 32.
A. 6916
B. 7804
C. 7904
D. 1235

33. Evaluate: (0.07 x 0.02) ÷ 14.
A. 0.01
B. 0.001
C. 0.0001
D. 0.00001

34. In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?
A. 8
B. 15
C. 16
D. 30

35. Express 30 minutes as a percentage of 3 hours 20 minutes.
A. 12.5%
B. 15%
C. 16%
D. 20%

36. Find the Least Common Multiple (L.C.M) of 2, 3 and 5.
A. 6
B. 12
C. 24
D. 30

37. The simple interest on OH¢ 450.00 for 4 years is OH¢ 45.00, find the rate of interest.
A. 2.5%
B. 10%
C. 25%
D. 6.5%

38. Find the median of the following numbers: 46, 68, 34, 37, 76 and 81.
A. 35.5
B. 57
C. 67
D. 68

39. In the Venn diagram, M and N are the subsets of the universal set U. Use this information to answer questions 39 and 40. Find MuN.

A. {7}
B. {2, 7}
C. {3, 5, 8}
D. {1, 2, 3, 4, 5, 6, 7, 8, 9}

40. How many members are in the set N?

A. 2
B. 3
C. 4
D. 6