KUULCHAT
MATHEMATICS MOCK
OBJECTIVE TEST
1.
Find the image of P in the mapping below:
| 1 | 2 | 3 | P |
| ↓ | ↓ | ↓ | ↓ |
| 3 | 5 | 7 | ? |
A
A.
P2 + 2
B.
P2 + 1
C.
2P + 1
D.
P + 2
E.
P2 - 2
2.
Find the least common multiple (LCM) of 4, 6 and 10
A.
10
B.
24
C.
30
D.
60
3.
A trader received a commission of 5% on goods sold at GH₵ 25,000.00. Find the commission.
A.
GH₵ 1,250.00
B.
GH₵ 1,200.00
C.
GH₵ 1,100.00
D.
GH₵ 1,000.00
4.
Which of these has the least number of lines of symmetry?
A.
An equilateral triangle
B.
A rectangle
C.
A square
D.
A circle
E.
An isosceles triangle
5.
In the diagram below, triangle QRT is the enlargement of QST.
Which side of triangle QRT corresponds to side QT of triangle QST?
A.
TS
B.
TR
C.
QR
D.
SR
6.
Which of the following inequalities is represented on the number line, where n is a real number?
A.
n ≥ -3
B.
n < -3
C.
n ≤ -3
D.
n > -3
E.
n = 3
7.
Which of the following is equivalent to 22 × 62
A.
2 × 34
B.
22 × 32
C.
22 × 34
D.
24 × 3
E.
24 × 32
8.
Find x, if + = 1
A.
-
B.
-
C.
D.
E.
9.
If P = {7, 11, 13} and Q = {9, 11, 13}. Find P U Q.
A.
{7}
B.
{9}
C.
{7, 9}
D.
{7, 9, 11}
E.
{7, 9, 11, 13}
10.
Simplify:
A.
B.
C.
D.
11.
The following marks are the marks obtained by pupils in a test: 2, 3, 5, 2, 3, 4, 2, 3, 5, 3.
Use the information above to answer the question below.
What is the mode?
A.
2
B.
3
C.
4
D.
5
12.
Not drawn to scale
In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.
A.
3.0 cm
B.
8.0 cm
C.
9.0 cm
D.
19.2 cm
13.
Simplify: 3a x 24ab.
A.
27ab2
B.
27a2b
C.
72ab2
D.
72a2b
14.
Use the information below to answer the question below.
The ages in years of 9 children at a birthday party are 2, 3, 3, 3, 4, 5, 5, 5, 6.
What is the mean age?
A.
3.0
B.
3.5
C.
4.0
D.
4.5
E.
5.0
15.
Find the solution set of n - > - n.
A.
{n:n > -1}
B.
{n:n = 0}
C.
{n:n > }
D.
{n:n > }
E.
{n:n > 1}
16.
If P = {7,11,13} and Q = {9,11,13}, find P ∪ Q
A.
{7,9,11,13}
B.
{7,9}
C.
{11,13}
D.
{9,13}
17.
Multiply 247 by 32.
A.
6916
B.
7804
C.
7904
D.
1235
18.
The marks obtained by 10 children in a mental drill are: 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.
Use this information to answer the question below.
What is the modal mark?
A.
3
B.
5
C.
7
D.
8
E.
9
19.
A tank contains 250 litres of water. If 96 litres are used, what percentage of the original quantity is left?
A.
61.6%
B.
60.5%
C.
59.0%
D.
54.2%
E.
38.4%
20.
In triangle ABC, |AB| = |BC| = 5 cm, and |AC| = 8 cm.
Find |BD|.
A.
3 cm
B.
4 cm
C.
9 cm
D.
33 cm
E.
41 cm
21.
A square of side 4 cm is enlarged by a scale factor of 3. Calculate the area of the enlarged square.
A.
36 cm2
B.
72 cm2
C.
96 cm2
D.
144 cm2
22.
Find the H.C.F. of 18, 36 and 60.
A.
22 x 32 x 5
B.
22 x 32
C.
2 x 3 x 5
D.
2 x 3
23.
Express 12/25 in decimal fraction.
A.
0.0408
B.
0.048
C.
0.408
D.
0.48
24.
Calculate the bearing of town P from town K in the diagram below.
A.
005°
B.
085°
C.
095°
D.
265°
E.
275°
25.
An equilateral triangle has side 16cm. A square has the same perimeter as the equilateral triangle. What is the area of the square?
A.
48 cm2
B.
96 cm2
C.
144 cm2
D.
256 cm2
26.
Find the image of 3 under the mapping, x → 10 - 2x.
A.
4
B.
5
C.
8
D.
16
27.
Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.
A.
2 x 3 x 5
B.
2 x 32 x 5
C.
22 x 3 x 5
D.
22 x 32 x 52
28.
Find the highest common factor of 15 and 21.
A.
1
B.
3
C.
5
D.
7
29.
The diagram below shows a circle with centre O, S and T are points on the circle.
Use it to answer the question below
The line ST is called
A.
an arc
B.
a chord
C.
a diameter
D.
a radius
E.
a segment
30.
Express 2700 as a product of prime numbers.
A.
22 × 32 × 52
B.
2 × 33 × 52
C.
22 × 33 × 52
D.
2 × 32 × 53
31.
In the triangle XYZ, angle XZY = 90°, |XY| = 13 cm and |YZ| = 5cm.
What is the length of XZ?
A.
4 cm
B.
8 cm
C.
12 cm
D.
65 cm
32.
Use the mapping below to answer the question below.
23 → 8
22 → 4
21 → 2
20 → a
2-1 → b
The value of a is
A.
0
B.
C.
1
D.
16
E.
32
33.
The diagram shows the conversion graph for miles and kilometres.
Use it to answer the question below
Find in kilometres, the equivalent of 4 miles.
A.
2.5
B.
3
C.
3.5
D.
6
E.
6.4
34.
Solve
.
A.
B.
C.
D.
35.
What is the Highest Common Factor (HCF) of 24, 32 and 64?
A.
4
B.
6
C.
8
D.
16
36.
Use the information below to answer the question below
The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9
What is the median score?
A.
3
B.
5
C.
6
D.
7
E.
8
37.
Use the diagram below to answer the question below.
Find the angle marked b.
A.
150o
B.
140o
C.
110o
D.
100o
38.
If (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9
A.
1.48994
B.
14.8994
C.
148.994
D.
1489.94
E.
14899.4
39.
Given that x = 8, what type of angle is (9x + 8)o?
A.
Straight angle
B.
Obtuse angle
C.
Acute angle
D.
Right angle
40.
In the diagram below, find the bearing of P from Q
A.
045°
B.
090°
C.
135°
D.
180°
E.
270°
THEORY QUESTIONS
1.
(a)
Using a ruler and a pair of compasses only,
(i)
construct a triangle PQR such that |PQ| = 8 cm, angle RPQ = 90° and angle PQR = 30°. Measure |RQ|
(ii)
construct the perpendicular bisector (mediator) of RQ. Let it meet RQ at O.
(b)
With O as centre and radius OP, draw a circle. Measure |OP|.
(c)
What is the special name for the chord RQ?
2.
(a)
The cost (P), in Ghana cedis, of producing n items is given by the formula,
P = n + 1800.
Find the:
(i)
cost of producing 2,000 items;
(ii)
number of items that will be produced with GH₵2,400.00;
(iii)
cost when no items are produced.
(b)
A passenger travelling by air is allowed a maximum of 20 kg luggage. A man has four bags weighing 3.5 kg, 15 kg, 2 kg and 1.5 kg.
(i)
Find the excess weight of his luggage.
(ii)
Express the excess weight as a percentage of the maximum weight allowed.
3.
(a)
The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a senior secondary school. The number of pupils who applied were 1080.
Find:
(i)
the angle x° representing the Vocational programme.
(ii)
the number of candidates who applied for Business programme.
(iii)
correct to the nearest whole number the percentage of the number of applicants who applied for General Programme.
(b)
The data below shows the distribution of the masses of pupils in a school. On a graph paper, draw a bar chart for the distribution.
| Mass (kilograms) | 19 | 20 | 21 | 22 | 23 | 24 |
| Frequency | 5 | 9 | 19 | 25 | 18 | 4 |
4.
(a)
A trader sold 250 articles for ₵525,000.00 at a profit of 25%.
(i)
Calculate the cost price of each article.
(ii)
If the trader had wanted 45% profit on the cost price, how much should he have sold each of the articles?
(b)
Find the simple interest on ₵880,000.00 for 2 years at 3 % per annum
5.
(a)
The ratio of men to women in a village is 12 : 25. If there are 120 men,
(i)
how many women are there?
(ii)
what is the total number of men and women?
(b)
A bag contains 70 pencils out of which 15 are green and 30 blue.
(i)
How many pencils of other colours are in the bag?
(ii)
A pencil is selected from the bag at random. What is the probability that it is blue?
(c)
Solve (x - 1) - (x - 3) ≤ 1 and illustrate your answer on the number line.
6.
The diagram shows a running track ABCDEFA. AB and ED are the straight sides. The ends AFE and BCD are semi circular shapes.
|AB| = |ED| = 90 m and |AE| = |BD| = 70 m.
Find
(a)
the total length of the two semi circular ends, AFE and BCD;
(b)
the perimeter of the running track ABCDEFA;
(c)
the total area of the running track ABCDEF.
[Take π = ]