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BECE 1995 - MATHEMATICS [PAPER I]
OBJECTIVE TEST
1.
P = {prime numbers less than 20} and Q = {odd numbers less than 10}.
Find P ∩ Q
{2, 3}
{1, 3, 5, 7, 11)
{3, 5, 7, 9}
{3, 5, 7}
{3, 5, 7, 11}
2.
Convert 104ten to a binary numeral.
1101000
1010100
1101100
1011010
1110100
3.
What is the H.C.F of 48, 30 and 18?
2
3
5
6
9
4.
Express 34m 5cm 6mm in millimetres
340506 mm
342506 mm
34056 mm
30456 mm
34565 mm
5.
Write 356.07 in standard form.
35.607 x 10
35.607 x 102
3.5607 x 102
3.5607 x 10-2
0.35607 x 103
6.
Divide
1
1
1
3
7.
Which property is illustrated by the statement a × (b + c) = a × b + a × c?
Inverse
Identity
Commutative
Distributive
Associative
8.
How many edges has a cube?
4
6
8
12
18
9.
What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?
3
4
5
6
7
10.
What is the rule for the mapping below?
| x | 1 | 2 | 3 | 4 | 5 |
| ↓ | ↓ | ↓ | ↓ | ↓ | ↓ |
| y | 2 | 4 | 8 | 16 | 32 |
y = 2x + 2
y = 2x
y = x + 2
y = x + 1
y = 2x
11.
Solve 4x – 6 < -2
x < 1
x > 1
x < -1
x > -1
x < 4
12.
In a school, 80 pupils wrote an examination and 64 of them passed. What is the percentage of pupils who passed?
8%
16%
20%
64%
80%
13.
The interior angle of a regular polygon is 120°. How many sides has the polygon?
3
4
5
6
8
14.
Kofi throws a die. What is the probability that he throws the number 2?
1
15.
What is the image of -4 under the mapping x →
4
2
0
–2
–4
16.
Find the value of p in the diagram below.
110
90
70
50
40
17.
Make a subject of the relation P = 2(a + b)
a =
a =
a =
a =
a =
18.
What is the value of x in the relation 5x = 125?
2
3
4
5
6
19.
Calculate the length of QR in triangle PQR
11
14
16
17
25
20.
Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?
1
21.
If u =
22.
Arrange the following fractions in descending order
23.
How many lines of symmetry has a square?
0
1
2
3
4
24.
If (x, y) → (x, 2y), find the image of (2
(2
(2
(2, -2)
(2, -
(2, 2
25.
The ages in years of eight boys are: 14, 14.5, 15, 12, 11.5, 13, 10.5, 13.5.
What is their average age?
14
13
12
11
10
26.
Convert 133five to a base ten numeral.
23
25
31
40
43
27.
Find the simple interest on ₵15,000.00 at rate of 20% per annum for 5 years.
₵10,000.00
₵15,000.00
₵30,000.00
₵50,000.00
₵90,000.00
28.
List all members of the set {x: 2 < x < 8, x is an integer}
{3, 4, 5}
{2, 3, 4, 5, 6, 7, 8}
{2, 2
{3, 3
{3, 4, 5, 6, 7}
29.
Simplify 348.94 - 188.34
60.60
60.68
160.60
200.60
206.60
30.
Find the difference between the values of (2d)2 and 2d2 when d = 3
16
18
24
28
54
31.
The heights of two boys are in the ratio 4 : 5. The shorter boy is 80 cm. What is the height of the taller boy?
100 cm
150 cm
164 cm
180 cm
200 cm
32.
Factorize completely 5xy + 10ny
5y(x + n)
5y(x + 2n)
5xy(1 + 2n)
5(xy + 2ny)
x(5x + 10n)
33.
If 13x – 12 = 5x + 60, find x
–9
–6
4
6
9
34.
The length of a spring when a mass of n kg is hung on it is L = (74 + 15n) mm. What is the length of the spring when a mass of 1.20kg is hanged on it?
75.20 mm
89.00 mm
92.00 mm
97.00 mm
104.00 mm
35.
In the figure below, triangle ABC is an enlargement of triangle ADE. If |AE| = 20 cm and |EC| = 10 cm. What is the scale factor of the enlargement?
2
3
36.
Which of the number lines below represents the inequality 2 < x ≤ 6?
37.
A cylinder has a radius 6 cm and height 7 cm. Find its volume.
[Take π =
132 cm3
264 cm3
294 cm3
792 cm3
924 cm3
38.
The angles a and b in the figure above are
interior opposite
corresponding
vertically opposite
acute
alternate
39.
A man travelled a distance of 1.2 km in 30 minutes. What distance can he cover in 55 minutes travelling at the same speed?
1.375 km
2.02 km
2.2 km
12.02 km
13.25 km
40.
In the diagram above, ∆ABC is an isosceles triangle. ∠ABD is 108°. Find the value of y.
72
60
48
36
24