BECE 2023 - MATHEMATICS [PAPER I]
OBJECTIVE TEST
1.
Write 0.01723 in standard form.
0.01723 x 10-2
0.01723 x 102
1.723 x 10-2
1.723 x 102
2.
What is the value of 3x2 + 2x - 7 when x = -3?
-40
-33
14
26
3.
Find the image of the point S(-2,2) when it is reflected in the y-axis.
(2,-2)
(2,2)
(-2,-2)
(-2,2)
4.
What is the actual bearing of S25oE?
035o
065o
115o
155o
5.
Given that m =
t =
t =
t =
t =
6.
Expand (x - 2)(x + 4).
x2 + 2x - 8
x2 + 2x + 8
x2 - 4x - 8
x2 - x - 8
7.
If n(E) = 15, n(F) = 20 and n(E∩F) = 6, find n(E∪F).
21
26
29
35
8.
Tony shared
9.
Araba and Ama share 20 oranges in such a way that Ama receives 12 oranges. Find the ratio of Araba's share to that of Ama.
2:5
3:5
3:2
2:3
10.
Solve: 3(x - 2) -
x < 0
x > 0
x > 3
x >
11.
The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.
Stem | Leaf |
2 | 0 2 5 7 8 |
3 | 2 7 9 |
4 | 3 5 5 5 |
5 | 4 6 6 8 |
6 | 3 5 7 |
7 | 0 6 |
What is the modal mark?
35
45
56
76
12.
The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.
Stem | Leaf |
2 | 0 2 5 7 8 |
3 | 2 7 9 |
4 | 3 5 5 5 |
5 | 4 6 6 8 |
6 | 3 5 7 |
7 | 0 6 |
How many students took the test?
20
21
22
27
13.
The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.
Stem | Leaf |
2 | 0 2 5 7 8 |
3 | 2 7 9 |
4 | 3 5 5 5 |
5 | 4 6 6 8 |
6 | 3 5 7 |
7 | 0 6 |
Find the median mark.
45
47
54
76
14.
Which of the following is an even prime number?
2
1
4
8
15.
If 2n - 5 =
2
3
16.
Find the simple interest on GH₵ 350.00 for 4 years at 5% per annum.
GH₵ 20.00
GH₵ 35.00
GH₵ 70.00
GH₵ 140.00
17.
A straight line passes through the points P(-5,-3) and Q(-4,-7). Find the gradient of the line PQ.
-4
-
4
18.
Given that 1 kilometre =
150 km
190 km
384 km
390 km
19.
John walks for 22
25%
30%
33%
75%
20.
Kobby is 5 years older than his brother. If Kobby is 13 years old, how old is his brother?
7 years
8 years
10 years
18 years
21.
Find the rule for the mapping:
x | 1 | 2 | 3 | 4 | 5 |
↓ | ↓ | ↓ | ↓ | ↓ | ↓ |
y | 4 | 2 | 0 | -2 | -4 |
y = 2x + 2
y = -2x + 2
y = 4x
y = -2x + 6
22.
Arrange the following numbers in ascending order:
1.88,
23.
Simplify: (x - 1)2 - 1.
x2 - 2x
x2 + 2x
x2 - 2x - 1
x2 - 2x + 1
24.
A bag contains 20 oranges of which 6 are bad. Find the probability of picking a good orange from the bag.
25.
In the diagram, AB is parallel to CD, Angle AGE is 80o, angle CFG = 5k and angle CFE = r.
Use the information to answer the question below.
What is the value of r?
16o
20o
80o
160o
26.
In the diagram, AB is parallel to CD, Angle AGE is 80o, angle CFG = 5k and angle CFE = r.
Use the information to answer the question below.
Find the value of k
16o
20o
80o
160o
27.
Simplify:
28.
Factorize 2pq + 6p -6q - 18.
2(p - 3)(q - 3)
2(p + 3)(q + 3)
2(p - 3)(q + 3)
2(p + 3)(q - 3)
29.
The diagram is a square of side 2 cm in which is inscribed a circle with center O.
Use the information to answer the question below.
Find the area of the shaded portion.
[Take π =
0.86 cm2
3.00 cm2
6.28 cm2
12.56 cm2
30.
The diagram is a square of side 2 cm in which is inscribed a circle with center O.
Use the information to answer the question below.
Find the area of the circle.
[Take π =
3.14 cm2
6.28 cm2
4.00 cm2
12.56 cm2
31.
A man can take 12 hours to do a piece of work. How long will it take 6 men working at the same rate to do the work?
6 hours
3 hours
2 hours
72 hours
32.
Convert 12.03 metres to centimetres.
0.1203 cm
120.3
1203 cm
12030 cm
33.
A quadrilateral with one pair of opposite sides parallel is called
kite.
rectangle.
square.
trapezium.
34.
A book was sold for GH₵ 48.00 at a profit of 20%. Find the cost price.
GH₵ 38.40
GH₵ 40.00
GH₵ 60.00
GH₵ 57.00
35.
Find the vector which translate the point (2,6) to (5,4).
36.
Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?
7 kg
10 kg
14 kg
88 kg
37.
Which of the following is not an integer?
0
1
0.5
-5
38.
Simplify:
0
1
5
25
39.
The height of a cylinder is 5 cm and the radius 7 cm. Find the volume of the cylinder.
[Take π =
770 cm3
700 cm3
154 cm3
110 cm3
40.
If q =