BECE 2013 Mathematics (Maths) Paper 1 Objectives
BECE Past Questions and Answers
BECE 2013
MATHEMATICS (Maths)
OBJECTIVES (Paper 1)
1. If A = {5, 10, 15, 20, 25, 125}and B = {5, 10, 15, 20, 25, 625}, list the elements of A⋃B
A. {5, 25}
B. {10, 20, 125, 625}
C. {5, 15, 25, 125, 625}
D. {5, 10, 15, 20, 25, 125, 625}
2. Express 1.25 as a percentage
A. 25%
B. 75%
C. 125%
D. 175%
3. Arrange the following in ascending order of magnitude: 0.301, 0.3, 0.33, 0.03
A. 0.03, 0.3, 0.301, 0.33
B. 0.03, 0.301, 0.3, 0.33
C. 0.33, 0.3, 0.301, 0.03
D. 0.33, 0.301, 0.3, 0.03
4. Evaluate 53 – (–7) + (–15)
A. 31
B. 45
C. 61 D. 75
5. Given that A = {a, e, i, o, u} and B = {r, s, t}, how many elements are in A⋂B ?
A. 0
B. 1
C. 2
D. 3
6. Convert 2114five to a base ten numeral.
A. 194
B. 280
C. 284
D. 300
7. Simplify 22 x 32
42 x 33
A. 1/12
B. 1/6
C. ¼
D. 1/3
A. 375 litres
B. 230 litres
C. 225 litres
D. 200 litres
9. Simplify 36a3b2x
27ab3y
10. Find the rule of the mapping.
1 2 3 4 5 x
↓ ↓ ↓ ↓ ↓ ↓
5 8 11 14 17 y
A. x + 2
B. x + 4
C. 2x + 3
D. 3x + 2
11. Given that –1 = 2 – m, find m
A. - 3
B. - 1
C. 1
D. 3
12. The perimeter of a rectangle is 48 cm. if the length is 14 cm, find its width.
A. 24 cm
B. 20 cm
C. 10 cm
D. 3.4 cm
13. Make d the subject of the relation n = 2d + 3
14. Calculate the gradient of the straight line joining the points A(3,5) and B(–2,3)
15. Find the angle marked a
A. 70°
B. 50°
C. 40°
D. 30°
16. Find the angle marked b
A. 150°
B. 140°
C. 110°
D. 100°
17. If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.
18. Find the vector which translates the point (4, –5) to (3, –2)
19. Factorize completely the expression 2xy – 6y + 7x – 21
A. (x – 3) (2y + 7)
B. (x +3) (2y – 7)
C. (y – 3) (2x +7)
D. (y + 3) (2x – 7)
20. The area of a circle is 154 cm2. Find the diameter. (Take π = 22/7)
A. 7 cm
B. 14 cm
C. 21 cm
D. 49 cm
21. Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?
A. 4.98 km
B. 4.69 km
C. 3.96 km
D. 3.68 km
22. The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.
A. 9 m
B. 13 m
C. 15 m
D. 16 m
24. How many 15Gp Christmas cards can be bought with GHc18.00 ?
A. 120
B. 150
C. 180
D. 270
26. If 49 56 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form
A. 1.239 × 102
B. 1.239 × 103
C. 1.239 × 104
D. 1.239 × 105
27. Which of the following expressions is illustrated on the number line?
A. x ≤ –2
B. x < –2
C. x ≥ –2
D. x > –2
28. If 180 oranges were shared among Kwame and Ama in the ratio 7:5, respectively, how many oranges did Ama receive?
A. 45
B. 60
C. 75
D. 90
29. Calculate the simple interest on GHc450.00 for 2 years at 12% per annum.
A. GHc 191.00
B. GHc 108.00
C. GHc 54.00
D. GHc 27.00
30. If 15 % of the length of a rope is 75 cm, find half of the length of the rope.
A. 500 cm
B. 250 cm
C. 150 cm
D. 100 cm
32.
A. Constructing a perpendicular at P
B. Constructing the bisector of line PQ
C. Constructing an angle of 30° at P
D. Constructing an angle of 45° at P
The table below shows the distribution of workers in some trades.
Trade
|
Shoe making
|
Mining
|
Road
transport
|
Agriculture
|
Manufacturing goods
|
Number of workers
|
300,000
|
25,000
|
160,000
|
225,000
|
165,000
|
Use this information to answer Questions 34 and 35
34. Whi ch trade employed the most number of workers?
A. Agriculture
B. Manufacturing goods
C. Shoe making
D. Road transport
35. How many people are employed under all the trades?
A. 325,000
B. 485,000
C. 650,000
D. 875,000
36. Aba bought a carton of fish at GHC 80.00 and sold it at a profit of GHC 13.60. Find the selling price.
A. GHC 66.40
B. GHC 93.60
C. GHC 103.60
D. GHC 144.00
If the two figures ABCD and PQRS are similar, find the value of b.
A. 60 cm
B. 40 cm
C. 33 cm
D. 30 cm
38. A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GHc 45.00, what was the total amount shared?
A. GHc 18.00
B. GHc 27.50
C. GHc 75.00
D. GHc 112.50
39. How many edges has a cuboid?
A. 16
B. 12
C. 8
D. 4
40. Two sets whose intersection is an empty set are
A. disjoint sets
B. equivalent sets
C. finite sets
D. empty sets
Answers and Solutions to BECE 2013 Maths Paper 1
Find in the video below the solutions and answers to this past question.
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