OBJECTIVE TEST

Two interior angles of a triangle are (3x - 10)° and (4x + 20)°. Find an expression for the third angle.

(170 - 7x)°

(150 - 5x)°

(120 - 7x)°

(100 - 5x)°

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

How many faces has a cuboid?

Find the HCF of 3³ × 5² and 3² × 5⁴.

3^{2^{× 5²}}

3³ × 5²

3² × 5⁴

3⁵× 5⁶

The interior angle of a regular polygon is 120^o. How many sides has the polygon?

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

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

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°

The point D (4,3) is reflected in the y-axis. Find the coordinates of its image.

(-4,-3)

(-3,4)

(-4,3)

(3,-4)

Find the area of a circle whose diameter is 7 cm.

[Take π = $\frac{22}{7}$ ]

11 cm²

38 $\frac{1}{2}$ cm²

44 $\frac{1}{2}$ cm²

54 cm²

10.

Solve 25x + 450 ≤ 3000.

x ≥ 102

x ≤ 102

x ≥ 138

x ≤ 138

11.

In the diagram below, P is the set of numbers in the circle and Q is the set of numbers in the triangle.

What is P ∩ Q?

{1, 2, 4}

{5, 6}

{7}

{1, 2, 4, 5, 6, 7}

{ }

12.

The following data show the marks of students in a test:

10,4,1,4,3,3,2,1,1,7,8.

Use the information to answer the question below.

Find the mean mark

13.

If 480 pupils in a school are boys representing 80% of the school's enrolment. Find the total number of pupils in the school.

384

540

600

864

14.

Express 1352 as a product of prime factors.

2³ x 13³

2³ x 13²

2² x 13³

2² x 13²

15.

Find the L.C.M of 10, 15 and 25.

120

150

300

16.

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

9 m

13 m

15 m

16 m

17.

Arrange the following fractions in ascending order: $\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$ .

$\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$

$\frac{7}{10}$ , $\frac{5}{8}$ , $\frac{11}{20}$

$\frac{11}{20}$ , $\frac{5}{8}$ , $\frac{7}{10}$

$\frac{5}{8}$ , $\frac{7}{10}$ , $\frac{11}{20}$

18.

The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.

(-3,4)

(4,-3)

(3,-4)

(-4,3)

19.

Find the highest (greatest) common factor of 63 and 81.

20.

Simplify

21.

Simplify: $\frac{1}{3} (\frac{1}{2} - \frac{1}{3}) - \frac{1}{3} (\frac{1}{3} - \frac{1}{2})$

- $\frac{1}{9}$

- $\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{9}$

22.

The table below shows the distribution of workers in some trades.

Trade	Shoe making	Mining	Road transport	Agriculture	Manufacturing goods
Number of workers	300,000	25,000	160,000	225,000	165,000

Use this information to answer the question below.

Which trade employed the most number of workers?

Agriculture

Manufacturing

Shoe making

Road transport

23.

The bearing of P from Q is 060^o. Find the bearing of Q from P

120^o

150^o

210^o

240^o

24.

At what rate of simple interest will ₵5,000.00 amount to ₵7,500 if saved for 5 years?

6 $\frac{2}{3}$ %

7 $\frac{1}{2}$ %

10%

12 $\frac{1}{2}$ %

25.

Find the difference between the values of (2d)² and 2d² when d = 3

26.

An amount of ₵ 5, 400.00 is shared among three sisters in the ratio of their ages. Their ages are 10 years, 6 years and 2 years. Find the share of the youngest sister.

₵ 300.00

₵ 600.00

₵ 1,200.00

₵ 1,800.00

27.

Make n the subject of the relation 2n + 5 = 7a

n = $\frac{1}{2}$ (7a + 5)

n = $\frac{1}{2}$ (7a - 5)

n = 2(7a + 5)

n = 2(7a - 5)

n = 7a - 5

28.

How many lines of symmetry has a rhombus?

29.

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

How many members are in the set N?

30.

Given that t = p² + 1, find p when t = 10.

3.0

4.5

11.0

81.0

31.

Correct 48,947.2547 to the nearest hundred.

490

48,900

48,950

49,000

32.

Evaluate $\frac{0.63 x 0.70}{9.00}$

0.0049

0.049

0.49

4.9

33.

Round 8921465 to the nearest hundred.

8921000

8921400

8921460

8921500

34.

Which of the following expressions is illustrated on the number line.

x ≤ -2

x < -2

x ≥ -2

x > -2

35.

Express 2474.5 in standard form

2.4745 x 10²

2.4745 x 10³

2.4745 x 10^–2

2.4745 x 10^-3

36.

Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.

198.6

198.7

892.0

892.4

37.

Which of the following numbers is the largest?

-70

-50

-3

-2

38.

Find the simple interest on GH₵ 600.00 saved for 2 years 8 months at 5% per anum.

GH₵ 64.00

GH₵ 80.00

GH₵ 84.00

GH₵ 92.00

39.

The following addition is in base ten. Find the missing addend.

	2	3	4	5
+	1	0	4	5
	*	*	*	*
	5	1	1	0

1300

1720

2765

4065

9500

40.

If one-third of a number is added to one-fifth of the same number, the result is 8. Find the number.

THEORY QUESTIONS

(a)

Using a scale of 2 cm to 1unit on both axes, draw two 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(-2, 4) and B(4, -5). Join the points A and B with the help of a ruler.

(d)

Using the graph , find

(i)

the gradient (slope) of the line AB;

(ii)

the value of x, when y = 0;

(iii)

the value of y when x = 2

(e)

Plot on the same graph sheet the points C(-3, -1) and D(3, 3). Join the points C and D. with the help of a protractor, measure the angle between the lines AB and CD. What is the gradient of the line CD?

(a)

(i)

Using a scale of 2cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet.

(ii)

On the same graph sheet, mark the x-axis from –10 to 10 and the y-axes from –12 to 12.

(iii)

Plot the points A(0, 10), B(-6, -2), C(4, 3) and D(-3,-11).

Use a ruler to join the point A to B and also point C to D.

(b)

(i)

Draw the line x = -2 to meet AB at P and CD at Q.

(ii)

Use a protractor to measure angles BPQ and PQC.

(iii)

What is the common name given to angles BPQ and PQC?

(iv)

State the relationship between lines AB and CD.

(a)

A traffic survey gave the results shown in the table below.

Vehicle	Car	Lorry	Bus	Bicycle
Frequency	15	12	8	25

(i)

Represent the information on a pie chart.

(ii)

What percentage of the vehicles were lorries?

(b)

Akosua was granted a loan of GH₵ 96.00. The interest rate was 24% per annum.

Calculate the

(i)

interest at the end of the year

(ii)

total amount she had to pay at the end of the year

(iii)

amount she still owes, if Akosua was able to pay only GH₵ 60.00 at the end of the year.

The sum of the interior angles of a regular polygon is 900^o. Find the number of sides of the polygon.

Using a ruler and a pair of compasses only, construct:

triangle XYZ such that length XY = 10 cm, angle XYZ = 30^o and length YZ = 9 cm;

perpendicular from Z to meet line XY at P;

iii

measure the:

length PZ;

angle XYZ.

calculate, correct to the nearest whole number, the area of triangle XYZ.

(a)

Using a scale of 2 cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes 0x and 0y for -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5.

(i)

Plot, indicating the coordinates of all points P(1,1), Q(1,2),R(2,2) and S(2,1) on the graph sheet. Join the points to form square PQRS.

(ii)

Draw and indicate clearly all coordinates, the image P₁Q₁R₁S₁ of square PQRS under an enlargement from the origin with a scale factor of 2, where P → P₁,Q → Q₁, R → R₁ and S → S₁.

(iii)

Draw and indicate clearly all coordinates, the image P₂Q₂R₂S₂ of square P₁Q₁R₁S₁ under a reflection in the x-axis where P₁ → P₂,Q₁ → Q₂, R₁ → R₂ and S₁ → S₂.

(b)

Using the graph in (a), find the gradient of line R₂S.

(a)

Simplify 6 $(3 \frac{5}{6} - 1 \frac{1}{4})$ .

(b)

Copy and complete the magic square so that the sum of numbers in each row or column or diagonal is 18.

	4

7	8

(c)

Find the sum of all the factors of 24.

(d)

Given that m = $(\begin{matrix} 3 \\ -1 \end{matrix})$ , n = $(\begin{matrix} -1 \\ 2 \end{matrix})$ and r = $(\begin{matrix} 18 \\ -6 \end{matrix})$

Find m + n + r.