BECE 1998 Mathematics (Maths) Paper 1 Objectives

BECE PAST QUESTIONS

BECE 1998 MATHS

MATHEMATICS

OBJECTIVES (Paper 1)

1. Two sets which have no common members are known as …

A) Equal sets

B) Equivalent sets

C) Empty sets

D) Disjoint sets

E) Union

2. P = {0, 2, 4, 6} and Q = {1, 2, 4, 5}. Find P ∩ Q.

A. {0, 6}

B. {2, 4}

C. {0, 4}

D. {0, 2, 6}

E. {0, 1, 2, 4, 5}

3. Evaluate ½ [(4 – 1) – (5 – 6)]

A) –4.0 B) 1.0 C) 2.0 D) 3.0 E) 4.0

4. Find the highest(greatest) common factor of 35 and 70.

A) 5 B) 7 C) 10 D) 35 E) 70

5. Write 1101101_two in base ten

A) 31 B) 43 C) 108 D) 109 E) 218

6. State the property used in the statement: p (q+r) = pq + pr

A) Associative

B) Commutative

C) Distributive

D) Identity

E) Universal

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10. Arrange the following from the highest to the lowest: ²/₃, -9 , ³/₅ and 0

A) –9, 3/5, 2/3, 0

B) –9, 0, 3/5, 2/3

C) 3/5, 2/3, 0, -9

D) 3/5, 2/3, -9, 0

E) 2/3, 3/5, 0, -9

11. The total numbers of goals scored each month by a football team are:

3, 4, 8, 2, 4, 6, 4, 8, 7 and 6. What is the mode?

A) 2 B) 4 C) 5 D) 6 E) 8

12. A trader sold 90 oranges at 3 for ¢50.00. How much did she get from selling all the oranges?

A) ¢1,500.00

B) ¢4,500.00

C) ¢6,000.00

D) ¢15,000.00

E) ¢45,000.00

13. A man bought a car for ¢5.5million and sold it for ¢6.5million.

Find the percentage gain.

A) 1.54% B) 1.82% C) 15.38% D) 18.18% E) 84.44%

14. On a map, two towns P and Q are 15.5 cm apart. The scale of the map is 1cm: 4km. Calculate the actual distance between P and Q.

A) 15.5km B) 31km C) 46km D) 60km E) 62km

15. Expand the expression 2(3a + 2b)

A) 6a + 2b B) 5a + 4b C) 6a + 4b D) 10ab E) 12ab

16. Mansah obtained 150 marks out of 240 marks in an English test. What was her percentage score?

A) 33.33% B) 37.5% C) 41.67% D) 62.5% E) 79.1%

17. The marks obtained by six boys in a test are: 14, 20, 25, 15, 28 and 16. Find the mean mark.

A) 19.66 B) 22.00 C) 23.20 D) 26.40 E) 28.00

18. Which of the following is equivalent to 2² × 6²

A) 2 × 3⁴ B) 2² × 3² C) 2² × 3⁴ D) 2⁴ × 3 E) 2⁴ × 3²

19. Kwaku had 300 mangoes. He sold 240 of them. What is the percentage of the mangoes left?

A) 8% B) 20% C) 25% D) 26% E) 80%

20. A bag contains 5 black and 6 white balls. What is the probability of picking a white ball?

A) ¹/₁₁ B) ¹/₆ C) ¹/₅ D) ⁵/₁₁ E) ⁶/₁₁

21. Solve for h in the equation 15 – 2h = 6

A) –10.5 B) –9.0 C) –4.5 D) 4.5 E) 10.5

22. What is the image of 3 in the mapping x → 3x + 7 ?

A) 10 B) 13 C) 16 D) 24 E) 34

23. How many faces has a closed cylindrical object?

A) 1 B) 2 C) 3 D) 4 E) 34

The graph of a straight line AB is shown above.

Use it to answer questions 24 and 25

24. Find the gradient of the line AB

A) 1 B) 2 C) 3 D) 4 E) 5

25. Find the coordinates of the point at which the line cuts the y-axis.

A. (1,0) B. (0,1) C. (-1,0) D. (0,-1) E. (0,0)

26. A man deposited an amount of ¢50,000.00 at a bank for 2 years at a rate of 20%. Find the simple interest.

A) ¢1,000.00

B) ¢2,000.00

C) ¢10,000.00

D) ¢20,000.00

E) ¢200,000.00

27. Kofi received ¢800.00 commission on the sales he made on a particular day. This commission is 20% of sales he made. Calculate his total sales for the day.

A) ¢1,200.00

B) ¢2,400.00

C) ¢3,200.00

D) ¢4,000.00

E) ¢4,800.00

28.

Calculate the bearing of town P from town K in the diagram below.

A) 005° B) 085° C) 095° D) 265° E) 275°

29. In the diagram below, PQR is an isosceles triangle. |PQ| = |PR|, QPR = 40° and QRS is a straight line. Find angle PRS.

A) 40° B) 70° C) 100° D) 110° E) 140°

30. Factorize completely the expression 2xy – 8x + 5y - 20

A. (2x+5)(y–4)

B. (2x–5)(y+4)

C. (2x–5)(y–4)

D. (2x+5)(y+4)

E. (x+5)(y–4)

31. Ama is facing east. Through how many degrees should she turn clockwise to face north?

A)90° B)135°C)180° D)225° E)270°

32.

In the triangle RST, < RST is 90^o, |RS| = 4cm and |ST| = 3cm. What is the length of RT ?

A) 2cm B) 3cm C) 4cm D) 5cm E) 7cm

33. How many lines of symmetry has a rhombus?

A) 2 B) 3 C) 4 D) 5 E) 6 .

36. The volume of water in a cuboid is 9m³. The length of the cuboid is 3m and the breadth is 2m. Calculate the depth of water in the cuboid.

A) 0.15m B) 0.18m C) 1.5m D) 1.8m E) 6.0m

In the diagram above, rectangle AEFG is an enlargement of the rectangle ABCD. If |AB| = 5cm and |AE| = 15cm. What is the scale factor of the enlargement?

A) ⅓ B) ½ C) 2 D) 3 E) 10

38.