OBJECTIVE TEST

Which of the following statements best describes the construction below?

Construction of a horizontal line CD

Construction of a line parallel to AB

Construction of the bisector of AB.

Construction of a top line

Construction of a vertical line.

Which of the following is equivalent to 2² × 6³?

2⁶ × 3³

2⁵ × 3³

2⁴ × 3

2³ × 3³

If y = c + bx², find y when c = $\frac{14}{5}$ , b = $\frac{4}{5}$ and x = 2.

The probability of obtaining a head when a coin is tossed is $\frac{1}{3}$ . What is the probability of obtaining a tail?

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{1}{3}$

List the members of the set

P = {factors of 30 which are odd}.

P = {2, 3, 5}

P = {1, 2, 3, 5}

P = {1, 3, 5, 15}

P = {2, 6, 10, 30}

Simplify $\frac{1}{2}$ - $\frac{2}{3}$ + $\frac{3}{4}$

$\frac{11}{12}$

$\frac{7}{12}$

$\frac{1}{6}$

$\frac{5}{12}$

Mansah obtained 150 marks out of 240 marks in an English test. What was her percentage score?

33.33%

37.5%

41.67%

62.5%

79.1%

Ama bought a pair of sandals for GH₵ 20.00 and solid it at GH₵ 24.00. Find the percentage profit.

4 %

17 %

20 %

44 %

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below

Calculate the mean score.

4.4

5.4

6.0

6.4

9.0

10.

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

11.

What is the probability of obtaining 4, when a fair die is tossed once?

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{5}{6}$

12.

List the members of the set Q = {Prime factors of 30}

{2,3,5}

{2,6,10}

{3,5,15}

{3,6,15}

13.

A tank holds 240 litres of water. How much water is in the tank when it is $\frac{4}{5}$ full?

60 litres

132 litres

192 litres

240 litres

14.

A car used 8 hours to travel from town A to town B at a speed of 18 km/h.

Find the distance travelled.

22.5 km

135 km

140 km

144 km

15.

Express 57_ten as a base two (binary) numeral.

101011_two

100111_two

11010_two

110111_two

111001_two

16.

The pie chart above shows the distribution of 360 pupils to various houses in a school.

Use it to answer the question below

Find the value of the angle marked X°.

30°

40°

100°

150°

17.

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

7 hours 33 minutes

7 hours 53 minutes

8 hours 13 minutes

8 hours 20 minutes

18.

Given that

, find the value of p.

19.

If Q = {1,3,5,7,9,10,11,13,15} and T = {1,2,3,5,6,7,10,11,12}, find Q ∪ T.

{1,2,3,5,7,10,11}

{1,3,5,7,9,11,13,15}

{1,2,3,4,5,6,7,8,9,10,11,12,13}

{1,2,3,5,6,7,9,10,11,12,13,15}

20.

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?

An arc passing through line PQ

A circle passing through line PQ

Straight line PQ

Perpendicular bisector of line PQ

21.

Find the image of the point (6, 3) when translated by the vector $(\begin{matrix} -4 \\ -1 \end{matrix})$ .

(-2, -2)

(2, -2)

(-2, 2)

(2, 2)

(10, 4)

22.

Divide 0.5445 by 0.09.

5.05

6.05

6.50

60.50

23.

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

Week	Temperature (^oC)
Week	Day	Night
Monday	33	24
Tuesday	29	25
Wednesday	32	23
Thursday	34	26
Friday	32	24
Saturday	30	24
Sunday	30	25

On which day was the change in temperature the least?

Monday

Saturday

Sunday

Tuesday

24.

What solid can be made from this net?

triangle

rectangular pyramid

triangular prism

rectangular prism

triangular pyramid

25.

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.

Calculate the mean

3.0

3.2

4.0

4.2

26.

The diagram is a square of side 2 cm in which is inscribed a circle with center O.

Use the information to answer the question below.

Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

3.14 cm²

6.28 cm²

4.00 cm²

12.56 cm²

27.

Simplify: -13 – (-3) + (-10).

-26

-20

-10

- 6

28.

Convert 2114_five to a base ten numeral.

194

280

284

300

29.

Given that 1 : 3 = x : 21, find the value of x.

30.

18 = 2 x 3²; 42 = 2 x 3 x 7; 90 = 2 x 3² x 5

Use the information above to answer the question below.

What is the HCF of 18, 42 and 90?

31.

What is the rule for the above mapping?

y = x + 4

y = 3x + 2

y = 4x + 1

y = 5x + 1

32.

Solve the equation 13x – 2(3x + 4) = 22.

$\frac{18}{7}$

$\frac{26}{7}$

$\frac{30}{7}$

33.

Find the largest value of these numbers: -1, 0, -6, -3.

-1

-3

-6

34.

Use the identity a² – b² = (a + b)(a – b) to evaluate 83² - 17²

660

6,600

7,178

7,600

8,317

35.

E is the point (4, 2) and F the point (2, 1). Calculate the gradient of the straight line EF.

- $\frac{1}{2}$

-2

$\frac{1}{2}$

36.

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)

37.

Solve for x if 2x + 5 = 3x – 7

$\frac{2}{3}$

–2

–12

38.

Simplify 3(6b – 9a) + 7(6a – 5b)

17b + 6a

-17b + 6a

17b + 48a

15a – 17b

17b – 15a

39.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

What is the modal number?

40.

If w/3 = 3(w-1)-1, find the value of w.

3⁄2

5⁄4

3⁄5

1⁄2

THEORY QUESTIONS

(a)

Simplify: $\frac{1200 x 1260}{800}$ and write your answer in standard form.

(b)

A plot of land measures 25 m by 12 m. A portion of this plot measuring 8 m by 8 m is used for the cultivation of vegetables.

Find the area of the plot not cultivated.

(c)

The table below shows the performance of Aisha in her final examination.

Subject	Score
English Language	54%
Mathematics	36%
Ga	68%
Science	50%
Social Studies	32%

Draw a pie chart to represent this information.

The mapping below has the rule, y = 2x + 3.

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	-	5	7	-	-

(a)

(i)

Copy the mapping and fill in the missing numbers

(ii)

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

(iii)

On the same graph sheet, mark the x-axis from 0 to 5 and the y-axis from 0 to 12.

(iv)

Plot on the graph sheet the ordered pairs (x, y) from the mapping and join all the points using a straight edge.

(b)

From your graph, find:

(i)

y when x = 3.5;

(ii)

x when y = 8;

(iii)

the gradient of the line y = 2x + 3.

(a)

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

(b)

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

(c)

(i)

Plot on the same graph sheet the points A(1, 1 $\frac{1}{2}$ ), B(4, 1 $\frac{1}{2}$ ), C(1, 4).

(ii)

Join the points to form a triangle. What type of triangle have you drawn?

(d)

Draw the image triangle A₁B₁C₁ of ABC under a reflection in the y-axis, where A→A₁, B→B₁ and C→C₁. Label the vertices and the co-ordinates clearly.

(e)

Draw the image triangle A₂B₂C₂ of triangle ABC under an enlargement with scale factor –1 with the centre of enlargement as the origin (0,0), where A→A₂, B→B₂ and C→C₂. Show all lines of enlargement. Label the vertices and co-ordinates clearly

(f)

What single transformation maps A₁B₁C₁ onto A₂B₂C₂ where A₁→A₂, B₁→ B₂ and C₁→C₂?

(a)

Using a ruler and a pair of compasses only, construct triangle XYZ, such that |XY| = 6cm, |XZ| = 8cm and |YZ| = 10cm.

(b)

(i)

Construct the mediator of line YZ

(ii)

construct the mediator of line XZ

(iii)

Locate O, the point of intersection of the mediators of lines YZ and XZ.

(iv)

With centre O and radius OY, draw a circle.

(c)

Measure the radius of the circle you have drawn in (b) (iv) above and hence calculate the circumference of the circle.

[ Take π = 3.14 ]

(a)

Given the relation

(i)

simplify L;

(ii)

find the value of L when m = 2 and n = 3.

(b)

Solve

(c)

A salesman gets a commission of 5¹⁄₂% of the value of items he sells. The salesman sells 12 textbooks at GH₵ 25.00 per book, 3 scientific calculators at GH₵ 50.00 per calculator and 8 packets of bic pens at GH₵ 50.00 per packet. Calculate the salesman's commission.

Solve the inequality

and

represent the answer on a number line.

Given that

and

find 2t + k

The sides of a triangle are in the ratio 6: 8 : 10. If the perimeter of the triangle is 288 cm, find the:

longest side

ii)

shortest side

iii)

difference between the longest and shortest sides.