BECE 2013 Mathematics (Maths) Past Question Paper One
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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 21145 to a base ten numeral.
- A: 194
- B: 280
- C: 284
- D: 300
7
Simplify 
- A: 1/12
- B: 1/6
- C: 1/4
- D: 1/3
8
A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?
- A: 375 litres
- B: 230 litres
- C: 225 litres
- D: 200 litres
9
Simplify 
- A:
- B:
- C:
- D:
10
Find the rule of the mapping
- 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
- A:
- B:
- C:
- D:
14
Calculate the gradient of the straight line joining the points A(3, 5) and B(–2, 3)
- A: 5/2
- B: 2/5
- C: -2/5
- D: -5/2
Use the diagram below to answer Questions 15 and 16
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.
- A: 3/8
- B: 1/4
- C: 1/2
- D: 5/8
18
Find the vector which translates the point (4, –5) to (3, –2)
- A:
- B:
- C:
- D:
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
Maame 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
23
Evaluate 
- A:
- B:
- C:
- D:
24
How many 15Gp Christmas cards can be bought with GH¢18.00?
- A: 120
- B: 150
- C: 180
- D: 270
25
If &space;and\&space;v=\left(\begin{array}{c}4\\&space;-5\end{array}\right)&space;,&space;find&space;u+v)
- A:
- B:
- C:
- D:
26
If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.
- A: 1.239 x 102
- B: 1.239 x 103
- C: 1.239 x 104
- D: 1.239 x 105
27
Which of the following expressions is illustrated on the number line?
- A: x\le-2
- B: x<-2
- C: x\ge -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 GH¢ 450.00 for 2 years at 12% per annum.
- A: GH¢ 191.00
- B: GH¢ 108.00
- C: GH¢ 54.00
- D: GH¢ 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
31
In an office, 2/3 of the telephone bill is paid by Tom, by 1/5 by Azuma and the remaining by Tina. What fraction is paid by Tina?
- A: 2/15
- B: 1/4
- C: 1/3
- D: 7/15
32
Which of the following best describes the construction?
- 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
33
Express 0.055 as a common fraction
- A: 11/40
- B: 5/18
- C: 1/40
- D: 11/200
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
Which 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 GH¢ 80.00 and sold it at a profit of GH¢ 13.60. Find the selling price.
- A: GH¢ 66.40
- B: GH¢ 93.60
- C: GH¢ 103.60
- D: GH¢ 144.00
37
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 GH¢ 45.00, what was the total amount shared?
- A: GH¢ 18.00
- B: GH¢ 27.50
- C: GH¢ 75.00
- D: GH¢ 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
End Of Paper
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