KUULCHAT
MATHEMATICS MOCK
OBJECTIVE TEST
1.
What solid can be made from this net?
A.
triangle
B.
rectangular pyramid
C.
triangular prism
D.
rectangular prism
E.
triangular pyramid
2.
Express 3/8 as a decimal fraction.
A.
0.429
B.
0.375
C.
0.365
D.
0.625
3.
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 probability that a pupil chosen at random scores 8 marks?
A.
B.
C.
D.
E.
4.
Use the diagram below to answer the question below.
Find the angle marked a.
A.
70o
B.
50o
C.
40o
D.
30o
5.
Express 30 cm as a percentage of 2 m.
A.
0.5%
B.
1.5%
C.
6.7%
D.
15%
E.
66.7%
6.
Given that 1 kilometre = mile, what is 240 miles in kilometres?
A.
150 km
B.
190 km
C.
384 km
D.
390 km
7.
Simplify 3a2 × 2ab × 4bc
A.
9a3b2c
B.
12a2b2c
C.
24a2b2c
D.
24a3b2c
8.
How many lines of symmetry has a rectangle?
A.
1
B.
2
C.
3
D.
4
9.
Express as a decimal fraction.
A.
0.3333
B.
0.3125
C.
0.2667
D.
0.2500
10.
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.
If a child is picked at random, what is the probability that he is 5 years old?
A.
B.
C.
D.
E.
11.
The table below shows the average rainfall in a town from March 2003 to August 2003.
Use it to answer the question below.
| Month | March | April | May | June | July | August |
| Rainfall (mm) | 96 | 147 | 281 | 452 | 265 | 139 |
What was the mean rainfall in the town over the six months?
A.
230 mm
B.
281 mm
C.
366 mm
D.
452 mm
12.
Find the Least Common Multiple(L.C.M) of 4, 5 and 6.
A.
20
B.
24
C.
30
D.
60
13.
The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?
A.
x + 7
B.
x + 14
C.
2x - 7
D.
2x + 7
14.
Tins of milk each of volume 77 cm3 and weight 170 g were packed into an empty carton of volume 1540 cm3 and weight 500 g.
What is the weight of the carton when packed with the tins of milk?
A.
2.06 kg
B.
2.94 kg
C.
3.90 kg
D.
8.50 kg
15.
Find the Highest Common Factor of 24, 42 and 72
A.
4
B.
6
C.
7
D.
12
16.
Expand (2a + b)(a – b).
A.
2a2 – 3ab – b2
B.
2a2 – ab – b2
C.
2a2 + ab + b2
D.
2a2 + 3ab + b2
17.
Find the image of the point (-2,3) under a reflection in the y-axis.
A.
(2,-3)
B.
(-3,2)
C.
(2,3)
D.
(3,2)
18.
How many faces has a cube?
A.
8
B.
6
C.
5
D.
4
19.
A rectangular field 50 metres wide and x metres long requires 260 metres of fencing. Which of the following statements is true?
A.
x + 100 = 260
B.
2x + 50 = 260
C.
4x + 200 = 260
D.
2x + 100 = 260
E.
4x + 100 = 260
20.
Araba owes ₵550,000.00 at the bank. She goes to pay ₵150,000.00. How much does Araba owe the bank now?
A.
₵700,000.00
B.
₵600,000.00
C.
₵500,000.00
D.
₵400,000.00
21.
The area of circle, centre O, is 120 cm2. Angle AOB is 60°. Find the area of sector AOB.
A.
2 cm2
B.
3 cm2
C.
6 cm2
D.
20 cm2
E.
60 cm2
22.
Solve = 12.
A.
23
B.
25
C.
27
D.
29
23.
In the diagram, ML and PQ are parallel lines.
Find the value of v
A.
32°
B.
40°
C.
58°
D.
140°
E.
180°
24.
The figure above is made up of a rectangle and a triangle. The dimensions of the rectangle are 8 cm and 6 cm. The triangle has 6 cm as its base and 3 cm as its height.
Find the area of the figure.
A.
33 cm2
B.
48 cm2
C.
51 cm2
D.
57 cm2
E.
66 cm2
25.
Evaluate (27 - 12) - 6.
A.
4
B.
6
C.
14
D.
16
26.
The distance from the centre of a circle to any point on it is called
A.
circumference.
B.
diameter.
C.
radius.
D.
sector.
27.
How many lines of symmetry has a square?
A.
2
B.
3
C.
4
D.
6
E.
8
28.
Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.
A.
₵200.00
B.
₵240.00
C.
₵300.00
D.
₵360.00
E.
₵400.00
29.
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
30.
Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.
A.
GH₵ 1,200.00
B.
GH₵ 1,500.00
C.
GH₵ 1,750.00
D.
GH₵ 1,800.00
31.
Which of the following best describes the construction?
A.
Constructing a perpendicular at P
B.
Constructing the bisector of line PQ
C.
Constructing an angle of 30o at P
D.
Constructing an angle of 45o at P
32.
An iron rod 15 m long is divided into 12 equal parts. How long is each part?
A.
0.80 m
B.
1.25 m
C.
1.50 m
D.
3.00 m
33.
Amadu walked to a point such that he is always the same distance from two villages P and Q.
Which of the following best describes the locus of Amadu?
A.
An arc passing through line PQ
B.
A circle passing through line PQ
C.
Straight line PQ
D.
Perpendicular bisector of line PQ
34.
Mr. Agyekum has 11 of the GH₵ 20.00 notes, 15 of the GH₵ 10.00 notes and 6 of the GH₵ 5.00 notes. How much does Mr. Agyekum have altogether?
A.
GH₵ 280.00
B.
GH₵ 320.00
C.
GH₵ 360.00
D.
GH₵ 400.00
35.
The least number in a set of real numbers is 24 and the greatest is 30. Which of the following is the correct interpretation of the statement?
A.
24 ≤ x ≤ 30
B.
24 < x < 29
C.
23 < x < 29
D.
24 < x < 30
E.
23 ≤ x ≤ 29
36.
In the diagram below, K is an enlargement of J. Use it to answer the question below.
Find the value of x.
A.
3.0 m
B.
3.5 m
C.
4.5 m
D.
6.0 m
E.
9.0 m
37.
Use the graph of the straight line below to answer the question below
Find the gradient of line MN.
A.
–2
B.
–1
C.
1
D.
E.
2
38.
Convert 2114five to a base ten numeral.
A.
194
B.
280
C.
284
D.
300
39.
| Number on die | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 4 | 3 | 3 | 2 | 3 | 5 |
The table shows the results when a student tossed a die many times.
Use the information to answer the question below
Find the mode.
A.
6
B.
5
C.
3
D.
4
40.
Arrangle the following fractions in ascending order: , , ,
A.
, , ,
B.
, , ,
C.
, , ,
D.
, , ,
THEORY QUESTIONS
1.
(a)
Using a ruler and a pair of compasses only, construct:
(i)
triangle XYZ with |XY| = 9 cm,
|YZ| = 12 cm and |XZ| = 8 cm.
(ii)
the perpendicular bisector of line XY.
(iii)
the perpendicular bisector of line XZ.
(b)
(i)
Label the point of intersection of the two bisectors as T;
(ii)
With point T as center, draw a circle of radius 6 cm.
(c)
Measure:
(i)
|TX|;
(ii)
angle XYZ.
2.
(a)
Using a pair of compasses and a ruler only,
(i)
construct triangle ABC such that |AB| = 10 cm, angle ABC = 30° and |BC| = 8 cm. Measure angle ACB.
(ii)
construct a perpendicular from C to meet line AB at D. Measure |CD|.
(b)
Calculate the area of triangle ABC.
3.
(a)
A ladder leans against a wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m away from the foot of the wall.
(i)
What is the length of the ladder?
(ii)
Calculate the angle that the ladder makes with the ground.
(b)
Given that π = 3.14 and g = 20. Find the value of F in the relation F = πg2
4.
The table shows the number of marbles students sent to class for Mathematics lesson.
| Number of Marbles(x) | Number of Students(f) | fx |
| 1 | 4 | - |
| 2 | 5 | - |
| 3 | - | 42 |
| 4 | 9 | - |
| 5 | - | 30 |
| 6 | 2 | 12 |
(a)
Copy and complete the table.
(b)
How many:
(i)
students were in the class?
(ii)
marbles were brought altogether
(iii)
marbles did most of the students bring
(c)
Calculate, correct to the nearest whole number, the mean number of the marbles brought for the lesson.
5.
(a)
Antwiwaa bought 25 mangoes, 7 of which were unripe. What percentage of the mangoes were ripe?
(b)
The mapping shows the relationship between x and y. Find the:
(i)
rule for the mapping;
(ii)
values of m and n
(c)
A bus left town X at 6:30 am and arrived at town Y at 1:00 pm. If the bus travelled at an average speed of 100 km per hour, calculate the distance from town X to town Y.
6.
(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 |