BECE 2005 Mathematics (Maths) Paper 1 Objectives
BECE PAST QUESTIONS AND ANSWERS
BECE 2005
MATHEMATICS (MATHS)
OBJECTIVES (Paper 1)
1.
In the diagram above, A and B are two intersecting sets. How many members are in the set B?
A) 2 B) 3 C) 5 D) 7
2. Which of the following is not a factor of 18?
A) 3 B) 4 C) 6 D) 9
3. Multiply 0.014 by 0.2
A) 0.00028 B) 0.0028 C) 0.02 D) 0.28
4. Given that A = {b, c, i} and B = {a, e, f, i}, find A ∩ B.
A) {a, b, c, e, f, i} B. {f, i} C. {a} D. {i}
5. If a = 64 and b = 22, find a/b.
A) 32 B) 16 C) 1/16 D) 1/32
6. Arrange the following numbers from the highest to the lowest: 2/3, -7, 0.
A) -7, 0, 2/3
B) -7, 2/3, 0
C) 0, 2/3, -7
D) 2/3, 0, -7
7. Simplify 22 × 32 × 23 × 34
A) 22 × 36 B) 24 × 37 C) 25 × 36 D) 26 × 38
8. In an examination 40% of the students failed. The number of students that passed was 180. How many students failed?
A) 120 B) 270 C) 300 D) 450
9. Evaluate 1/3 [ (5 – 1) – (2 – 7)]
A) -3 B) -1 C) 1 D) 3
10. If 6n + 4 = 16, find the value of n.
A) 2 B) 3 C) 5 D) 6
11. What is the next term in the following set of numbers: {1, 3, 7, 15, 31, …} ?
A) 35 B) 39 C) 47 D) 63
12. Find the mean of the following set of numbers 10, 12, 14 and 16.
A) 12 B) 13 C) 14 D)15
13. Simplify 3a2 × 2ab × 4bc
A) 9a3b2c B) 12a2b2c C) 24a2b2c D) 24a3b2c
14. Expand 3 (2a + 3b)
A) 2a +9b B) 5a + 6b C) 6a + 3b D) 6a + 9b
15. Find the area of a circle whose diameter is 28 cm.
(Take π = 22/7)
A) 44 cm2 B) 88 cm2 C) 352 cm2 D) 616 cm2
16. In sharing 95 oranges with Dede, Fofo kept 45 of them and shared the rest equally with Dede. How many oranges did Dede get?
A) 20 B) 25 C) 40 D) 55
17. If c = b2 + 4r, find c when b = 3, r = 4 and a = 5.
2ar
A) 19/40 B) 11/20 C) 3/8 D) 5/8
18. A woman bought a sewing machine for ¢800,000.00 and sold it for ¢920,000.00. Find the percentage profit
A) 12% B) 13% C) 15% D) 16.4%
19. What is the rule for the following mapping?
x 0 1 2 3 4
y 5 9 13 17 21
-
A) y = x + 5 B) y = 4x + 5 C) y = 5x+4 D) y = 6x+1
20. Find the volume of a cuboid of sides 15 m by 12 m by 3 m.
A) 36 m3 B) 45 m3 C) 180 m3 D) 540 m3
21. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
A) 1/3 B) ½ C) 2/3 D) 3/4
22.
Find the size of the angle marked y in the diagram.
A) 35° B) 45° C) 55° D) 90°
23. An equilateral triangle has side 16cm. A square has the same perimeter as the equilateral triangle.
What is the area of the square?
A) 48 cm2 B) 96 cm2 C) 144 cm2 D) 256 cm2
24. Kofi deposited ¢500,000.00 with a bank for 2 years at a rate of 10% per annum. Find the simple interest
A) ¢10,000.00 B) ¢20,000.00 C) ¢50,000.00 D) ¢100,000.00
26. Evaluate 0.54 x 0.7
9
A) 0.0042 B) 0.042 C) 0.42 D) 4.2
27. Eric and Ebo are to share an amount of ¢800,000.00 in the ratio 5:3 respectively. What will be Ebo's
share?
A. ¢30,000.00
B) ¢50,000.00
C) ¢300,000.00
D) ¢500,000.00
28. How many faces has a rectangular pyramid?
A) 4 B) 5 C) 6 D) 7
29. The perimeter of a rectangle is 24cm. If the breadth of the rectangle is 4 cm, find the area of the rectangle.
A) 32 cm2 B) 48 cm2 C) 64 cm2 D) 144 cm2
30. Factorize 4ab2 – 20ba2.
A. 4a(b2 – 5b)
B. 4b(b – 5a)
C. 4ab(b-5a)
D. 4ab(a-5b)
31. Solve the equation 2/3 (x – 3) = 5/6 (x+6)
A) -42 B) -12 C) 18 D) 42
32. Kofi had 100 mangoes and sold 80 of them. What is the percentage of mangoes left?
A) 12.5% B) 18% C) 20% D) 25%
33. Find the median of the following marks: 2, 4, 10, 3, 6, 12.
A) 4 B) 5 C) 6 D) 10
In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.
Use this information to answer Questions 34 and 35
34. How many pupils read English only?
A) 2 B) 3 C) 5 D) 10
35. How many pupils do not read either Mathematics or English?
A) 2 B) 3 C) 5 D) 7`
36. Calculate 82.5 ÷ 0.25, expressing the answer in the standard form
A) 3.3 x 10-3 B) 3.3 x 10 C) 3.3 x 102 D) 3.3 x 103
37. The price of a gas cooker costing ¢450,000.00 was increased by 10%. Find its new price.
A) ¢45,000.00 B) ¢49,000.00 C) ¢405,000.00 D) ¢495,000.00
38. What is the number of all possible outcomes of tossing a die?
A) 2 B) 3 C) 4 D) 6
39. In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.
A) 60° B) 65° C) 70° D) 80°
40.
Answers and Solutions to BECE 2005 Maths Paper 1
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