OBJECTIVE TEST

Make m the subject of p = $\frac{3m + 1}{m}$ .

m = 3p + 1

m = p - 3

m = $\frac{1}{p - 3}$

m = $\frac{3p + 1}{p}$

Solve: 3(x - 2) - $\frac{x}{3}$ + 6 > 0.

x < 0

x > 0

x > 3

x > $\frac{1}{8}$

What is the image of -4 under the mapping x → $\frac{1}{2}$ x - 2?

–2

–4

Write 1930.54 in standard form.

1.93054 X 10³

1.93054 X 10^-3

1.93054 X 10^-2

1.93054 X 10²

The bearing of X from Y is 196^o. What is the bearing of Y from X?

016^o

074^o

106^o

244^o

Simplify: -27 + 18 - (10 - 14) - (-2)

-3

-7

-11

-35

Evaluate $\frac{0.036}{0.02}$

0.018

0.18

1.8

18.0

Kofi bought four pencils at ₵200.00 each and five pens at ₵350.00 each. How much did he pay altogether?

₵2,400.00

₵2,450.00

₵2,550.00

₵2,650.00

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?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

10.

Arrange the following fractions in descending order of magnitude: $\frac{1}{2}$ , $\frac{17}{20}$ , $\frac{3}{4}$

$\frac{3}{4}$ , $\frac{17}{20}$ , $\frac{1}{2}$

$\frac{17}{20}$ , $\frac{3}{4}$ , $\frac{1}{2}$

$\frac{1}{2}$ , $\frac{3}{4}$ , $\frac{17}{20}$

$\frac{1}{2}$ , $\frac{17}{20}$ , $\frac{3}{4}$

11.

The angles of a triangle are in the ratio 3 : 2 : 1. Find the value of the smallest angle.

30°

45°

60°

90°

12.

M = {1, 2, 3, 4, 5, ..., 20}

Q = {3, 4, 5, 6, 7, 8} and R = {2, 3, 5, 7}

If Q and R are subsets of M, find Q ∩ R.

{3, 5}

{5, 7}

{{3, 5, 7}

{2, 3, 5, 7}

13.

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?

14.

The area of circle, centre O, is 120 cm². Angle AOB is 60°. Find the area of sector AOB.

2 cm²

3 cm²

6 cm²

20 cm²

60 cm²

15.

A fair coin and a fair die are rolled together once. Find the probability of obtaining a tail and an odd number.

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{1}{2}$

16.

Calculate the simple interest on ₵130,000.00 for 2 $\frac{1}{2}$ years at 12% per annum.

₵78,000.00

₵39,000.00

₵36,000.00

₵31,200.00

17.

If (x-3)² = 16, find the positive value of x

18.

The rule of mapping is x → 2x² - 1. What number does x = 2 map to?

19.

Use the mapping below to answer the question below.

( $\frac{1}{2}$ ) → (1) → (3.14)

(1) → (2) → (6.28)

(2) → (4) → (12.56)

(3) → (6) → (x)

(y) → (10) → (31.4)

Find the value of x

9.42

18.84

25.12

20.

Evaluate

21.

Find the truth set of 5x – 8 ≤ 2x + 4.

{x ≥ 4}

{x ≥ -4}

{x ≤ 4}

{x ≤ -4}

{x = 4}

22.

Simplify (2⁶ x 3⁴) ÷ (2⁴ x 3²)

2² x 3²

2² x 3⁶

2¹⁰ x 3²

2¹⁰ x 3⁶

23.

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

How many students took the test?

24.

Express 15 : 12 in the form 1 : n.

1 : 0.8

1 : 12

1 : 15

1 : 1.2

25.

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?

26.

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?

GH₵140.00

GH₵157.00

GH₵210.00

GH₵350.00

27.

Expand and simplify: (a-2)(2a+3)

a² - a + 6

2a² + 7a - 6

2a² - a - 6

2a² - 12a + 6

28.

What is the rule for this mapping?

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	1	3	5	7	9

x→2x - 1

x→2(x - 1)

x→2x + 1

x→2(x + 1)

x→2x - 1

29.

Make a subject of the relation P = 2(a + b)

a = $\frac{P - 2b}{2}$

a = $\frac{P + 2b}{2}$

a = $\frac{2b - P}{2}$

a = $\frac{P - b}{2}$

a = $\frac{P - 2}{b}$

30.

If a * b = 2a – b, find 3 * 2

31.

Use it to answer the question below.

How many pupils speak neither Twi nor Ga?

32.

Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

33.

A box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

$\frac{1}{16}$

$\frac{7}{15}$

$\frac{8}{15}$

$\frac{7}{8}$

34.

Factorize: xy + 5x + 2y + 10.

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

35.

The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?

035°

055°

125

235°

305°

36.

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?

24 ≤ x ≤ 30

24 < x < 29

23 < x < 29

24 < x < 30

23 ≤ x ≤ 29

37.

The stem and leaf plot shows the weights (kg) of cocoa bags weighed in a week.

Use the information to answer the question below:

Stem	Leaf
4	0,5,7,9
5	1,3,4,5,7,8
6	0,2,3,4,4,4,4,5,6,8
7	1,2,3,4,5,8,8,9
8	2,3,5,6,9
9	4,5

What is the modal weight of the bags of cocoa?

68 kg

60 kg

64 kg

65 kg

38.

Use the diagram below to answer the question below.

Find the value of a°

68°

75°

105°

112°

124°

39.

Subtract (7x-3) from (5-3x).

10x-8

4x-8

8-10x

2-10x

40.

Five times a number is four more than the number. Find the number.

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{2}$

-1

THEORY QUESTIONS

In an examination 60 candidates passed Integrated Science or Mathematics. If 15 passed both subjects and 9 more passed Mathematics than Integrated Science, find the:
i) number of candidates who passed in each subject;
ii) probability that a candidate passed exactly one subject.

Factorize: xy + 6x + 3y + 18

(a)

The pie chart shows the weight (in kg) of items Mrs. Mensah bought for her household.

(i)

What angle represents fish?

(ii)

If she bought a total of 20 kg of items,

(α)

what is the weight of flour bought?

(β)

express, correct to one decimal place, the weight of sugar as a percentage of the weight of rice.

(b)

In a class of 30 students, five wear glasses. If a student is selected at random from the class, what is the probability that the student does not wear glasses?

(a)

If X = {Prime numbers less than 13} and Y = {odd numbers less than 13}

(i)

List the members of X and Y

(ii)

List the members of X ∩ Y and X U Y

(b)

Three school children share some oranges as follows: Akwasi gets $\frac{1}{3}$ of the total, and the remainder is shared between Abena and Jantuah in the ratio 3:2. If Jantuah gets 24 oranges, how many does Akwasi get?

(a)

Find the sum of 2,483.65, 701.532 and 102.7, giving your answer to one decimal place.

(b)

In the quadrilateral ABCD above, |AB|= 3 cm,|BC|= 4 cm, |CD|= 12 cm and angle ABC = 90^o and angle ACD = 90^o.

Calculate:

(i)

the perimeter of ABCD;

(ii)

the area of ABCD.

(a)

Using a ruler and a pair of compasses only, construct

(i)

triangle ABC such athat |AB| = 8 cm, angle CBA = 45^o and angle CAB = 60^o.

(ii)

the bisector of angle ACB to meet |AB| at T.

(b)

Measure

(i)

|CT|;

(ii)

angle CTB.

(c)

A boy spent $\frac{3}{8}$ of his money and had GH₵ 15.00 left. How much did he have?

(a)

Using a scale of 2 cm to 1 unit on both axes, draw perpendicular lines OX and OY on a graph sheet.

(b)

On this graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6

(c)

Plot on the same graph sheet the points A(1, 1), B(4, 3) and C(2, 5). Join the points A, B and C to form a triangle.

(d)

Using the y-axis as the mirror line, draw the image A₁B₁C₁ of the triangleABC, such that A→A₁, B→B₁ and C→C₁. Write down the co-ordinates of A₁, B₁ and C₁.

(e)

Using the x-axis as the mirror line, draw the image A₂B₂C₂ of triangle ABC where A→A₂, B→B₂ and C→C₂.