BECE 2020 Mathematics Paper 1

 

BECE Past Questions and Answers

BECE 2020 Mathematics (Maths) Paper 1

Objectives

1. Simplify ³/₄ + ¹/₃ + ¹/₁₂

     _{A.  ¹/3            B. ¹/2             C. ¹/6                D. ²/3}

2. Given that N = {x: x is a factor of 18} and M = {x: x is a multiple of 12}, find N ∩ M.

     A.  {1,2,3,6}   B. {1,2,3,6,12}   C.  {2,3,6,12,18}   D. {}

3. Express 4382.93 in standard form.

    A.  438293 x 10⁴ B. 43.8293 x 10²    C. 4.38293 x 10⁴   D.4.38293 x 10³

4. Which property of arithmetic is used in a(x+y) = ax + ay.

        A.  Associative B. Commutative C. Distributive D. Initiative

5. Subtract (7x-3) from (5-3x).

    A.  10x-8         B.4x-8     C. 8-10x         D. 2-10x

6. The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

     A. GH₵ 5.57 B. GH₵ 4.67 C. GH₵ 4.57 D. GH₵ 3.57

7. 

Which of the following inequalities is represented on the number line?

A.  -2>y>2 B. -2≤ y < 2      C. -2 ≥ y > 2        D. -2 < y ≤ 2

8. Simplify: (2ab²)² x 3a³b.

A. 6a⁴b⁵         B. 12a³b⁴     C. 12a⁶b⁴       D.12a⁵b⁵    

9. Which of the following polygons does not have a line of symmetry? A. Kite     B. Isosceles triangle C. Trapezium         D. Rhombus 

10. A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set. A. GH₵ 66.00 B. GH₵ 67.00 C. GH₵ 77.00         D. GH₵ 78.00 11. Vera is 11 years old and her brother is 9 years old. They shared 60 oranges in the ratio of their ages. How many more oranges does Vera get? A. 6 B. 27 C. 34 D. 39

12. If (x-3)2 = 16, find the positive value of x

       A.  1          B. 3    C. 4          D. 7

13. Find the image of the point (-2,3) under a reflection in the y-axis.

       A.  (2,-3)            B. (-3,2)           C. (2,3)               D. (3,2)

14. What fraction of 3 weeks is 18 days?

A.  ⅙ B. 6⁄7 C. 1⁄7 D. 9⁄11

15. What is the median of the following numbers:

          4, 16, 13, 18, 3, 20, 6, 7, 15, 2, 10, 12?

A. 7    B. 10    C. 11    D. 12

16. If ^w/₃ = 3(w-1)-1, find the value of w.

    A.  3⁄2               B. 5⁄4         C.3⁄5                 D.1⁄2

17. Use the diagram below to answer the question below

Find the value of x. A. 68°     B. 75°     C. 112°         D. 124°

18. Use the diagram below to answer the question below

Find the value of y. A. 68° B. 75° C. 112° D. 124°

19. A car used 8 hours to travel from town A to town B at a speed of 18 km/h. Find the distance travelled. A. 22.5 km B. 135 km     C. 140 km         D. 144 km

20. The pie chart shows the household budget of a family.

Use the information to answer the question below

Find the angle for insurance and taxes.

A.  45° B. 54° C. 60°   D. 72°

21. The pie chart shows the household budget of a family.

Use the information to answer the question below

If the family's income was GH₵ 40,000.00, how much was spent on clothing?

A.  GH₵ 1,600.00    B. GH₵ 2,000.00     C. GH₵ 3,200.00    D. GH₵ 4,400.00

22. Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter

       A.  11.0 m B. 36.6 m        C. 28.0 m         D. 47.6 m

23. A man earned an interest of GH₵ 240.00 in 4 years at 20% per annum simple interest. Calculate the principal.

    A. GH₵ 300.00    B. GH₵ 450.00 C. GH₵ 480.00    D. GH₵ 1,200.00

24. A labourer worked for 20½ hours. If he was paid GH₵ 2.50 per hour, what was his total wage?

A.  GH₵ 51.00    B. GH₵ 51.25    C. GH₵ 512.00   D. GH₵ 512.25

25. If 480 pupils in a school are boys representing 80% of the school's enrolment. Find the total number of pupils in the school.

  A.  384           B. 540          C. 600         D. 864

26. 

What is the rule for the mapping?

A.  x → 3x²-1     B. x→ 5x²-3           C. x→ x²+1            D. x→ 4x-2

27. 

Find the value of t in the diagram.

A.  12     B. 8     C. 4      D. 3

28. Add the following numbers: 2.4,0.042,1.12 and 0.342.

A. 2.184         B. 3.904         C. 4.282            D. 6.200

29. Solve: 4^x = 32.

A. 2½            B. 3½  C. 5 D. 7

30. Find the equation of the straight line passing through the points (-3,5) and (6,8)

A.  y = ⅓x        B. y = ⅓x+6       C. y = ⅓x-10          D. y = ⅓x+14

31. There are 15 females in a debating club. If the ratio of females to males is 3:2, how many members are in the club?

  A. 6      B. 10      C. 22 D. 25

32. If P¹(4, -5) is the image of P(x, y) translated by r = ( ^-2 ₃), find the values of x and y.

A.  (-6,8) B. (-6,-8)          C. (6,-8)                  D. (6,8)

33. If 2y = 1-3x²+4x, find y when x = -1

A. -3 B. -½ C. ½ D. 3

34. Given that p = {1,2,3,4,5,6,7,8,9,10,11,12}, what is the probability of selecting a prime number from the set?

  A. ⅔     B. 7⁄12     C. ½         D. 5⁄12

35. Solve: 3 - (3x+4) ≤ -4

A.  x ≤ 1 B. x ≥ 1 C. x ≥ 1⅔    D. x < 1½

36. Two sides of a rectangle are 10 cm and 6 cm. Calculate the area of a square with the same perimeter as that of the rectangle.

  A.  16 cm²           B. 30 cm²     C. 60 cm² D. 64 cm²

37. Make n the subject of the relation y = (n-x)/ x 

 A. n = x(y+1)                B. n = y(x+1)              C. n = ^x/_(y-1)                 D. n = ^x/_(y+1)

38. Expand and simplify: (a-2)(2a+3)

A.  a² - a + 6 B. 2a² + 7a - 6      C. 2a² - a - 6             D. 2a² - 12a + 6

39. Simplify 2² x 2⁷ ÷ 2⁴

A.  2^-1         B. 2⁵      C. 2¹¹             D. 2¹³

40. If P = {7,11,13} and Q = {9,11,13}, find P ∪ Q

A.  {7,9,11,13}         B. {7,9}         C. {11,13}     D. {9,13}

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