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BECE 2022 - MATHEMATICS [PAPER I]
OBJECTIVE TEST
1.
Express 108 as a product of prime factors.
22 x 33
23 x 32
2 x 34
23 x 3
2.
A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?
3.10 p.m.
4.10 p.m.
5.10 p.m.
6.10 p.m.
3.
Which of the following is not a quadrilateral?
Rhombus
Parallelogram
Rectangle
Triangle
4.
Solve: 5x - (7x - 3) ≤ 9.
x ≥ -3
x ≤ -3
x ≥ -6
x ≤ 3
5.
Simplify
6.
Given that
find,
.
7.
The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.
(-3,4)
(4,-3)
(3,-4)
(-4,3)
8.
Solve:
4
0
9.
The longest chord of a circle is the
segment.
sector.
circumference.
diameter.
10.
Factorize completely xy - xm - my + m2.
(m-y)(x-m)
(x-m)(y-m)
(m-y)(m-x)
(y-m)(m-x)
11.
Given that P(3,-2) and Q(-2,4) are points in a plane, find the gradient of the line joining P to Q.
-6⁄5
6⁄5
5⁄6
-5⁄6
12.
find the value of n.
0.0105
0.105
105
1050
13.
The rule of mapping is x → 2x2 - 1. What number does x = 2 map to?
9
8
7
3
14.
, find x when a = 2, b = -4 and c = -2.
0
8
4
16
15.
Arrange the following fractions from the lowest to the highest:
¼ , ⅗ , ⅔
⅔ , ¼ , ⅗
⅔ , ⅗ , ¼
⅗ , ¼ , ⅔
16.
A shop is rented at GH₵ 9.00 per month. How much money is paid in 1½ years?
GH₵ 162.00
GH₵ 135.00
GH₵ 6.00
GH₵ 13.00
17.
A certain number is subtracted from 12 and the result is multiplied by 3. If the answer is 21, find the number.
6
8
5
4
18.
In the diagram, AB is parallel to DE, angle ABC = 81o and angle DCE = 20o.
Use the information to answer the equestion below:
What is the value of x?
A. 20o
61o
81o
101o
19.
In the diagram, AB is parallel to DE, angle ABC = 81o and angle DCE = 20o.
Use the information to answer the equestion below:
Find the value of y.
20o
81o
79o
101o
20.
Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?
60km
17km
13km
7km
21.
Which of the following is the largest set?
{Whole numbers}
{Composite}
{Natural numbers}
{Integers}
22.
Write 1930.54 in standard form.
1.93054 X 103
1.93054 X 10-3
1.93054 X 10-2
1.93054 X 102
23.
Expand: (2a - b)(a - b)
2a2 + 3ab - b
2a2 - 3ab - b2
2a2 + 3ab + b
2a2 - 3ab + b2
24.
The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.
Use the information to answer the question below:
| Stem | Leaf |
| 4 | 0,5,7,9 |
| 5 | 1,3,4,5,7,8 |
| 6 | 0,2,3,4,4,4,4,5,6,8 |
| 7 | 1,2,3,4,5,8,8,9 |
| 8 | 2,3,5,6,9 |
| 9 | 4,5 |
How many bags of cocoa were weighed in the week?
35
29
6
41
25.
The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.
Use the information to answer the question below:
| Stem | Leaf |
| 4 | 0,5,7,9 |
| 5 | 1,3,4,5,7,8 |
| 6 | 0,2,3,4,4,4,4,5,6,8 |
| 7 | 1,2,3,4,5,8,8,9 |
| 8 | 2,3,5,6,9 |
| 9 | 4,5 |
What is the median weight of the bags of cocoa?
62 kg
65 kg
61 kg
68 kg
26.
The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.
Use the information to answer the question below:
| Stem | Leaf |
| 4 | 0,5,7,9 |
| 5 | 1,3,4,5,7,8 |
| 6 | 0,2,3,4,4,4,4,5,6,8 |
| 7 | 1,2,3,4,5,8,8,9 |
| 8 | 2,3,5,6,9 |
| 9 | 4,5 |
What is the modal weight of the bags of cocoa?
68 kg
60 kg
64 kg
65 kg
27.
If a =
and b =
, find a + b
28.
For what value of x is 3x = 81?
2
27
4
9
29.
Simplify: -15 - (-20) + (-10).
-45
-5
-25
5
30.
Express 3/8 as a decimal fraction.
0.429
0.375
0.365
0.625
31.
What is the length of the side of a square of area 225 cm2?
15.00cm
12.00cm
112.50cm
56.25cm
32.
What is the probability that a number greater than 5 shows up when a die is thrown?
5/6
1/6
2/3
1/3
33.
Given that 117(12+18) = 117(15+k), find the value of k
15
- 15
-30
30
34.
A mother has GH₵ 5.00 and gives each of her 3 children GH₵ 1.50 as pocket money. How much is left for her?
GH₵ 3.50
GH₵ 4.5
GH₵ 0.15
GH₵ 0.50
35.
A car travels 36 kilometres in an hour. Find its speed in metres per second.
10 ms-1
100 ms-1
20 ms-1
200 ms-1
36.
Peter had GH₵ 200.00 and spent GH₵ 83.00. What percentage of the money is left?
29.06%
70.94%
58.50%
41.50%
37.
If a trader made a profit of 10% in selling a shirt for GH₵ 44.00, find the cost price
GH₵ 39.60
GH₵ 38.50
GH₵ 48.40
GH₵ 40.00
38.
Express 15 : 12 in the form 1 : n.
1 : 0.8
1 : 12
1 : 15
1 : 1.2
39.
The ratio of farmers to children in a village is 13 : 11. If there were 312 farmers in the village, how many children were there?
264
143
48
169
40.
The volume of a cylinder is 40Π cm3. If the height of the cylinder is 10 cm, find the base radius
1 cm
4 cm
2 cm
3 cm