KUULCHAT
MATHEMATICS MOCK
OBJECTIVE TEST
1.
| 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
How many times did the student throw the die?
A.
6
B.
18
C.
21
D.
20
2.
How many lines of symmetry has a rhombus?
A.
2
B.
3
C.
4
D.
5
3.
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Use this information to answer the question below.
How many pupils study only Economics?
A.
17
B.
23
C.
24
D.
25
E.
31
4.
The point (4, 5) is translated to the point (3, 1). What is the translation vector?
A.
B.
C.
D.
5.
Which property is illustrated by the statement a × (b + c) = a × b + a × c?
A.
Inverse
B.
Identity
C.
Commutative
D.
Distributive
E.
Associative
6.
A pineapple which was bought for GH₵1.00 was sold at GH₵1.30. Calculate the profit percent.
A.
10%
B.
20%
C.
23%
D.
30%
7.
A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.
A.
GH₵ 100(m - n)
B.
GH₵ 100(m + n)
C.
GH₵ 100(n - m)
D.
GH₵ 100( nm )
8.
Find x when y = 37 for the above mapping
A.
6
B.
7
C.
8
D.
9
9.
A point P (3, 4) is rotated through an angle of 90° anticlockwise about the origin O.
Find the image P1 of rotation
A.
(3, -4)
B.
(4, -3)
C.
(-3, 4)
D.
(-4, 3)
E.
(-4, -3)
10.
A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball?
A.
B.
C.
D.
11.
It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?
A.
24 minutes
B.
12 minutes
C.
3 hours
D.
2 hours
12.
Find the truth set of (x + 3) ≤ 2x - 1.
A.
{x:x ≤ -3}
B.
{x:x ≤ -1}
C.
{x:x ≥ 1}
D.
{x:x ≥ -3}
13.
A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?
A.
B.
C.
D.
E.
14.
Round 8921465 to the nearest hundred.
A.
8921000
B.
8921400
C.
8921460
D.
8921500
15.
Factorize completely the expression 2xy – 6y + 7x – 21
A.
(x – 3)(2y + 7)
B.
(x + 3)(2y – 7)
C.
(y – 3) (2x +7)
D.
(y + 3) (2x – 7)
16.
The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?
A.
035°
B.
055°
C.
125
D.
235°
E.
305°
17.
A boy walked 7 km on a bearing 060°. Which of the following diagrams shows his direction.
A.
B.
C.
D.
E.
18.
In the diagram below, |AE| = |ED| = |DC| = |CE|.
Calculate the size of the angle marked x.
A.
150°
B.
120°
C.
90°
D.
60°
E.
30°
19.
The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below
How many pupils took the test?
A.
5
B.
20
C.
25
D.
29
E.
30
20.
Ama covered a distance of 100m in 12 seconds. Express her speed in kilometres per hour.
A.
5km/h
B.
10 km/h
C.
20 km/h
D.
30 km/h
21.
Arrange the following fractions from the lowest to the highest:
A.
¼ , ⅗ , ⅔
B.
⅔ , ¼ , ⅗
C.
⅔ , ⅗ , ¼
D.
⅗ , ¼ , ⅔
22.
The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8cm, find its breadth.
A.
2 cm
B.
3 cm
C.
5 cm
D.
6 cm
23.
Find the integers within the interval 5 < x < 9
A.
{5,6,7}
B.
{5,6,7,8}
C.
{5,6,7,8,9}
D.
{6,7,8}
E.
{6,7,8,9}
24.
How many lines of symmetry has a rectangle?
A.
4
B.
3
C.
2
D.
1
25.
Simplify 3a2b3 × 4a3b.
A.
12a5b4
B.
12a4b5
C.
7a5b4
D.
7a4b5
26.
The perimeter of the figure below is 71 cm. Find the diameter of the semi-circumference portion.
[Take π = ]
A.
1.0 cm
B.
3.5 cm
C.
7.0 cm
D.
14.0 cm
27.
Which of the following inequalities is represented on the number line?
A.
x < 2
B.
x ≤ 3
C.
x > 3
D.
x ≥ 2
28.
Find the Greatest Common Factor (GCF) of 90, 126 and 72.
A.
6
B.
9
C.
18
D.
24
29.
Calculate the simple interest on GH₵450.00 for 2 years at 12% per annum.
A.
GH₵ 191.00
B.
GH₵ 108.00
C.
GH₵ 54.00
D.
GH₵ 27.00
30.
Use the mapping below to answer the question below.
| x | 1 | 2 | 3 | 4 | 5 |
| ↓ | ↓ | ↓ | ↓ | ↓ | ↓ |
| y | -4 | -2 | 0 | 2 | m |
What is the rule for this mapping?
A.
x→ 2(x - 3)
B.
x→ x - 5
C.
x→ 2(x - 2)
D.
x→ 2x-3
31.
The pie chart shows how Kwaku spends his monthly salary.
Use this information to answer the question below.
Kwaku earns GH₵630.00 a month. How much of this does he spend on food?
A.
GH₵140.00
B.
GH₵157.00
C.
GH₵210.00
D.
GH₵350.00
32.
Simplify:
A.
-
B.
-
C.
D.
33.
Given that 22 x 32 x 7 = 252, find the least number that should be multiplied by 252 to make the product a perfect square.
A.
2
B.
3
C.
6
D.
7
E.
252
34.
A shop increased all its prices by 10%. Calculate the new price for an article which previously sold for ₵7,500.00
A.
₵6,750.00
B.
₵7,575.00
C.
₵7,800.00
D.
₵8,250.00
E.
₵8,350.00
35.
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
36.
Which of the following is not a quadrilateral?
A.
Hexagon
B.
Kite
C.
Rectangle
D.
Trapezium
37.
What property of addition is defined by (a + b)+ c = a + (b + c)?
A.
Union
B.
Inverse
C.
Commutative
D.
Distributive
E.
Associative
38.
The area of a circle is 154 cm2. Find the diameter.
(Take π = )
A.
7 cm
B.
14 cm
C.
21 cm
D.
49 cm
39.
If q = ut + ft, find q when u = 20, t = 10 and f = 15
A.
350
B.
275
C.
237.5
D.
55
E.
42.5
40.
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
Find the mean score.
A.
4.50
B.
5.75
C.
6.00
D.
8.75
E.
10.00
THEORY QUESTIONS
1.
(a)
The following are the ages in years of members of a group: 8, 11, 8, 10, 6, 7, 3x, 11, 11.
If the mean age is 9 years, find
(i)
x
(ii)
the modal age
(iii)
the median age.
(b)
Draw a bar chart for the distribution
2.
a
Solve:
.
b
The ratio of boys to girls in a school is 12:25. If there are 120 boys.
i) how many girls are in the school?
ii) what is the total number of boys and girls in the school?
c
Simplify:
3.
Olu bought a radio for ₵65,000.00. After one year the radio was valued at 75% of the cost price.
(a)
What was the price of the radio after one year?
(b)
If he sold the radio for ₵55,700.00, calculate his profit or loss over the cost price.
4.
(a)
There are 30 boys in a sporting club. 20 of them play hockey and 15 play volley-ball. Each boy plays at least one of the two games.
(i)
Illustrate the information on a Venn diagram
(ii)
How many boys play volleyball only?
(b)
Factorize xy + 3x + 6y + 18
(c)
Multiply (3 + x) by (5 – 2x)
5.
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.
6.
(a)
Evaluate , leaving the answer in standard form.
(b)
Mr Boakye gets 10% commission on type P house he sells and 15% on type Q house.
He sells 3 type P houses at GH₵ 700,000.00 each and 4 type Q at GH₵ 1,400,000.00 each.
Calculate the total commissions he makes.