BECE 1999 Mathematics Paper 1 Objectives

BECE PAST QUESTIONS AND ANSWERS

BECE 1999

MATHEMATICS (MATHS)

OBJECTIVES (Paper 1)

1. Set A is called …………of set B, when all the numbers of set A are also members of set B.
A) the universal set
B) the union set
C) the null set
D) a subset
E) an empty set

2. M = {multiples of 3 between 10 and 20}
N = {even numbers between 10 and 20}.
Find M ∩ N.
A. {12, 18}
B. {12, 15, 18}
C. {12, 14, 16, 18}
D. {12, 14, 15, 16, 18}
E. {10, 12, 14, 15, 18, 20}

3. Express 24 as a product of prime factors.
A) 2 × 3 B) 2² × 3 C) 2³ × 3 D) 2² × 3² E) 2² × 3³

4. Write in standard form 1342.
A) 0.1342 x 10-3
B) 0.1342 x 10-4
C) 13.42 x 102
D) 1.342 x 103
E) 1.342 x 104

5. Change 10111two to base ten.
A) 15 B) 17 C) 23 D) 25 E) 29

6. If Y = 595 and Z = 7071, find the sum of Y and Z.
A) 6466 B) 7566 C) 7666 D) 12,021 E) 13,021

7. Simplify: ½ - ¼ + 1/8
A) 1/8 B) 1/6 C) 3/8 D) 5/8 E) 7/8

8. A ribbon is 4 m long. How many pieces, each 30 cm long, can be cut from the ribbon?
A) 7 B) 11 C) 12 D) 13 E) 14

9. Find the integers within the interval 5 < x < 9

A) {5,6,7} B) {5,6,7,8} C) {5,6,7,8,9} D) {6,7,8} E) {6,7,8,9}

10. Calculate, correct to two decimal places, 0.61 ÷ 0.8
A) 0.07 B) 0.08 C) 0.76 D) 0.83 E) 7.62

11. The diagram below shows a circle with centre O, S and T are points on the circle.
Use it to answer questions 11 and 12

12. The line ST is called
A) an arc
B) a chord
C) a diameter
D) a radius
E) a segment

13. Simplify: 2 × 32 × 34
A) 2 × 3⁵B) 2 × 3⁶ C) 2 × 3⁸ D) 2 × 9⁶ E) 2 × 9⁸

14. Which of the following fractions is the greatest? ¹/6, ¼, ½, ¹/3, ¹/5
A) 1/6 B) 1/5 C) ¼ D) 1/3 E) ½

15. The sum of the ages of a man and his wife is 81 years. The ratio of their ages is 5:4. Find the age of the younger person.
A) 30 years B) 36 years C) 45 years D) 51 years E)65 years

16. A car is travelling at 40km per hour. How far does it travel in 2 ½ hours?
A) 16km B) 80km C) 90km D) 100km E) 140km

17. There are 6 girls and 18 boys in a class. What percentage of the class are girls?
A) 14.40% B) 25.00% C) 33.33% D) 66.67% E) 75.00%

18. Find the missing numbers in the sequence 4, 8, 12, _, _, _, 28
A) 14, 16, 22
B) 14, 18, 22
C) 6, 18, 22
D) 16, 20, 24
E) 16, 22, 24

19. A shop increased all its prices by 10%. Calculate the new price for an article which previously sold
for ¢7,500.00
A) ¢6,750.00
B) ¢7,575.00
C) ¢7,800.00
D) ¢8,250.00
E) ¢8,350.00

20. Simplify: 7(y + 1) – 2(2y + 3)
A) 3y – 5 B) 3y – 2 C)3y +1 D) 3y + 4 E) 3y + 13

The table below shows the average monthly rainfall at Nankese from March, 1996 to August, 1996. Use it to answer question 21 and 22

Month	Mar	Apr	May	Jun	Jul	Aug
Rainfal (mm)	99	145	277	450

21. Which month recorded the highest amount of rainfall?
A) March B) April C) May D) June E) July

22. What was the total amount of rainfall recorded in April, May and July?
A) 422mm B) 689mm C) 72mm D) 994mm E) 1,139mm

23. Find the median of the following numbers: 1, -1, -5, 3 and -4
A) –1 B) –4 C) –5 D) 1 E) 3

24. There are 15 red and 25 black balls in a bag. Find the probability of selecting a black ball from the bag.
A) ¹/25 B) ¹/15 C) ³/8 D) ³/5 E) ⁵/8

In the diagram below, K is an enlargement of J. Use it answer questions 25 and 26

25. Calculate the scale factor
A) 1/3 B) ½ C) 2 D) 3 E) 9

26. Find the value of x.
A) 3.0m B) 3.5m C) 4.5m D) 6.0m E) 9.0m

27. A trader received a commission of 25% on the sales he made in a month. His commission was ¢180,000.00. Find his total sales for the month.
A) ¢135,000.00
B) ¢150,000.00
C) ¢240,000.00
D) ¢540,000.00
E) ¢720,000.00

28. Kwame travelled from Accra to Kumasi. He travelled 3/10 of the journey by lorry, 2/5 of the journey by taxi and the rest by train. What fraction of the journey did he travel by train?
A) 3/10 B) 3/5 C) 7/10 D) 3/25 E) 22/25

29. If 4 (m + 4) = 18, find the value of m.
A) ½ B) 3/2 C) 5/2 D) 7/2 E) 17/2

Use the mapping below to answer questions 30 and 31

30. What is the rule for the mapping?
A) x→ 4 - x B) x→ x-2 C) x→2x D) x→2x+1 E) x→3x

31. Find the value of y when x is 7.
A) –3 B) 9 C) 14 D) 15 E) 21

32. A square of side 6cm has the same area as a rectangle of length 9cm. Find the breadth of the rectangle.
A) 3cm B) 4cm C) 6cm D) 24cm E) 36cm

33. Factorize 3r²s – 9rs²
A. rs (3r – s)
B. 3rs(s – 3r)
C. 3rs(r - 3s)
D. r²s² (3r – 9s)
E. 3r²s²(s – 3r)

34. The average mass of 4 boys is 45 kg. When a fifth boy joins them, the average mass changes to 40 kg. What is the mass of the fifth boy?
A) 5 kg B) 10 kg C) 15 kg D) 20 kg E) 25 kg

35. E is the point (4, 2) and F the point (2, 1). Calculate the gradient of the straight-line EF.
A) – ½ B) –2 C) 2 D) ½ E) 0

37. In the diagram, ML and PQ are parallel lines. Find the value of v.
A. 32º B. 40º C. 58º D. 140º E. 180º

38. Given the relation 1/y = 1/c + 1/x, which of the following expressions is equal to y?

A) c + x
B) 2/cx

C.) (c +x)/ 2

D) cx / (c + x)

E) (c + x )/ cx

39.

             The figure above is the net of
                A) a cylinder
                B) a triangle
                C) a pyramid
                D) a cone
                E) a sphere

40. In the diagram below, MNO is a triangle. Angle MON = 72° and angle OMN = 68°. Find angle ONP