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BECE 1998 - MATHEMATICS [PAPER I]
OBJECTIVE TEST
1.
Two sets which have no common members are known as ......
equal sets
equivalent sets
empty sets
disjoint sets
union
2.
P = {0, 2, 4, 6} and Q = {1, 2, 4, 5}. Find P ∩ Q.
{0, 6}
{2, 4}
{0, 4}
{0, 2, 6}
{0, 1, 2, 4, 5}
3.
Evaluate
–4.0
1.0
2.0
3.0
4.0
4.
Find the highest(greatest) common factor of 35 and 70.
5
7
10
35
70
5.
Write 1101101two in base ten
31
43
108
109
218
6.
State the property used in the statement: p(q + r) = pq + pr
Associative
Commutative
Distributive
Identity
Universal
7.
If n2 + 1 = 50, find n
7
24.5
25
49
8.
Evaluate
0.0049
0.049
0.49
4.9
49
9.
In the relation
find R
10.
Arrange the following from the highest to the lowest:
-9,
-9, 0,
11.
The total numbers of goals scored each month by a football team are:
3, 4, 8, 2, 4, 6, 4, 8, 7 and 6.
What is the mode?
2
4
5
6
8
12.
A trader sold 90 oranges at 3 for ₵50.00. How much did she get from selling all the oranges?
₵1,500.00
₵4,500.00
₵6,000.00
₵15,000.00
₵45,000.00
13.
A man bought a car for ₵5.5 million and sold it for ₵6.5 million. Find the percentage gain.
1.54%
1.82%
15.38%
18.18%
84.44%
14.
On a map, two towns P and Q are 15.5 cm apart. The scale of the map is 1 cm: 4 km. Calculate the actual distance between P and Q.
15.5 km
31 km
46 km
60 km
62 km
15.
Expand the expression 2(3a + 2b)
6a + 2b
5a + 4b
6a + 4b
10ab
12ab
16.
Mansah obtained 150 marks out of 240 marks in an English test. What was her percentage score?
33.33%
37.5%
41.67%
62.5%
79.1%
17.
The marks obtained by six boys in a test are: 14, 20, 25, 15, 28 and 16. Find the mean mark.
19.67
22.00
23.20
26.40
28.00
18.
Which of the following is equivalent to 22 × 62
2 × 34
22 × 32
22 × 34
24 × 3
24 × 32
19.
Kwaku had 300 mangoes. He sold 240 of them. What is the percentage of the mangoes left?
8%
20%
25%
26%
80%
20.
A bag contains 5 black and 6 white balls. What is the probability of picking a white ball?
21.
Solve for h in the equation 15 – 2h = 6
–10.5
–9.0
–4.5
4.5
10.5
22.
What is the image of 3 in the mapping x → 3x + 7?
10
13
16
24
34
23.
How many faces has a closed cylindrical object?
1
2
3
4
34
24.
A graph of a straight line AB is shown below.
Use it to answer the question below
Find the gradient of the line AB
1
2
3
4
5
25.
A graph of a straight line AB is shown below.
Use it to answer the question below
Find the coordinates of the point at which the line cuts the y-axis.
(1, 0)
(0, 1)
(-1, 0)
(0, -1)
(0, 0)
26.
A man deposited an amount of ₵50,000.00 at a bank for 2 years at a rate of 20%. Find the simple interest.
₵1,000.00
₵2,000.00
₵10,000.00
₵20,000.00
₵200,000.00
27.
Kofi received ₵800.00 commission on the sales he made on a particular day. This commission is 20% of sales he made. Calculate his total sales for the day.
₵1,200.00
₵2,400.00
₵3,200.00
₵4,000.00
₵4,800.00
28.
Calculate the bearing of town P from town K in the diagram below.
005°
085°
095°
265°
275°
29.
In the diagram below, PQR is an isosceles triangle. |PQ| = |PR|, ∠QPR = 40° and QRS is a straight line.
Find angle PRS.
40°
70°
100°
110°
140°
30.
Factorize completely the expression 2xy – 8x + 5y - 20.
(2x + 5)(y – 4)
(2x – 5)(y + 4)
(2x – 5)(y – 4)
(2x + 5)(y + 4)
(x + 5)(y – 4)
31.
Ama is facing east. Through how many degrees should she turn clockwise to face north?
90°
135°
180°
225°
270°
32.
In the triangle RST, ∠RST is 90°, |RS| = 4 cm and |ST| = 3 cm.
What is the length of RT?
2 cm
3 cm
4 cm
5 cm
7 cm
33.
How many lines of symmetry has a rhombus?
2
3
4
5
6
34.
Given that a =
Find b - a.
35.
If u =
36.
The volume of water in a cuboid is 9 m3. The length of the cuboid is 3 m and the breadth is 2 m.
Calculate the depth of water in the cuboid.
0.15 m
0.18 m
1.5 m
1.8 m
6.0 m
37.
In the diagram above, rectangle AEFG is an enlargement of the rectangle ABCD. If |AB| = 5 cm and |AE| = 15 cm.
What is the scale factor of the enlargement?
2
3
10
38.
In the diagram, O is the centre of the circle and r is its radius.
Calculate the area of the shaded region.
39.
Which of the following best describes the statement: "The locus of points 6 cm from a fixed point O?"
A parallel line 6 cm from O
A vertical line 6 cm from point O
A horizontal line 6 cm from point O
An equilateral triangle of side 6 cm
A circle with centre O and radius 6 cm
40.
OPQR is a trapezium whose height is 20 cm. What is the area?
460 cm2
600 cm2
920 cm2
960 cm2
1000 cm2