OBJECTIVE TEST

Abban paid ₵630,000.00 for a bicycle at a discount of 10%. Find the actual selling price of the bicycle

₵567,000.00

₵573,000.00

₵693,000.00

₵700,000.00

Write two hundred and two million, two thousand, two hundred and two in figures.

202,002,202

202,020,202

202,022,202

202,200,202

Use it to answer the question below.

How many pupils speak neither Twi nor Ga?

Express 0.68 as a fraction in its lowest term.

$\frac{7}{25}$

$\frac{17}{25}$

$\frac{3}{5}$

$\frac{7}{15}$

The perimeter of a rectangle is 24 cm. If the breadth of the rectangle is 4 cm, find the area of the rectangle.

32 cm²

48 cm²

64 cm²

144 cm²

The height of a cylinder is 5 cm and the radius 7 cm. Find the volume of the cylinder.

[Take π = $\frac{22}{7}$ ]

770 cm³

700 cm³

154 cm³

110 cm³

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

What is the modal mark?

Find one-hundredth of 1.0756

107.56

10.756

0.01756

0.010756

0.001756

If s = $(\begin{matrix} -1 \\ 4 \end{matrix})$ and r = $(\begin{matrix} 3 \\ 2 \end{matrix})$ , find 3s + r.

$(\begin{matrix} 0 \\ 14 \end{matrix})$

$(\begin{matrix} 0 \\ 6 \end{matrix})$

$(\begin{matrix} 6 \\ 6 \end{matrix})$

$(\begin{matrix} 6 \\ 14 \end{matrix})$

10.

Given that (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9

14.8994

148.994

1489.94

14899.4

148994.0

11.

How many faces has a cuboid?

12.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

13.

How many faces has a rectangular pyramid?

14.

Simplify: $(\begin{matrix} -2 \\ 3 \end{matrix})$ - $(\begin{matrix} 1 \\ 5 \end{matrix})$ .

$(\begin{matrix} -1 \\ 2 \end{matrix})$

$(\begin{matrix} -1 \\ 8 \end{matrix})$

$(\begin{matrix} -3 \\ 8 \end{matrix})$

$(\begin{matrix} -1 \\ -2 \end{matrix})$

$(\begin{matrix} -3 \\ -2 \end{matrix})$

15.

A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set.

GH₵ 66.00

GH₵ 67.00

GH₵ 77.00

GH₵ 78.00

16.

P = {3, 6, 9, 12, 15}. Which of the following best describes the set P?

The set of multiples of 3 less than 18

The set of multiples of 3

The set of odd numbers

The set of odd numbers less than 16

17.

There are 15 white and 25 black identical balls in a box. If a ball is selected at random from the box, find the probability that it is white.

$\frac{1}{25}$

$\frac{1}{15}$

$\frac{3}{8}$

$\frac{5}{8}$

18.

Find the angle through which the minute hand of a clock moves from 5.15 p.m. to 5.25 p.m.

30°

45°

60°

120°

19.

If 1 : x is equivalent to 6 $\frac{1}{4}$ : 25, find x.

6.25

100

20.

Factorize: 5ay - by + 15a - 3b.

(y + 3)(5a - b)

(y + 5)(3a - b)

(y - 3)(5a + b)

(y - 5)(3a + b)

21.

There are 12 boys and 18 girls in a class

Find the fraction of boys in the class.

⅖

⅗

⅔

22.

What is the value of 3x² + 2x - 7 when x = -3?

-40

-33

23.

Correct 5178.3426 to two decimal places.

5178.00

5178.30

5178.34

5178.35

24.

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

3⁄2

5⁄4

3⁄5

1⁄2

25.

In the diagram below, MNO is a triangle. Angle MON = 72° and angle OMN = 68°.

Find angle ONP.

40°

68°

72°

112°

140°

26.

Simplify:

27.

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

38^o

52^o

58^o

64^o

28.

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

660

6,600

7,178

7,600

8,317

29.

Calculate 82.5 ÷ 0.25, expressing the answer in the standard form

3.3 x 10^-3

3.3 x 10

3.3 x 10²

3.3 x 10³

30.

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

0.80 m

1.25 m

1.50 m

3.00 m

31.

Use the graph of the straight line below to answer the question below

Determine the value of x when y is 3.

$\frac{1}{2}$

1 $\frac{1}{2}$

32.

At a meeting attended by 23 people, the females were 7 more than the males. How many males were there?

33.

The mean of the numbers 4, 3, 3, x is 5, find x

34.

Find the value of t in the diagram.

35.

Zalia and Amina shared an amount of money in the ratio 2 : 5. If Amina had GH₵ 150.00 more than Zalia, how much did they share?

GH₵ 100.00

GH₵ 250.00

GH₵ 450.00

GH₵ 350.00

36.

Simplify: 2 × 3² × 3⁴

2 × 3⁵

2 × 3⁶

2 × 3⁸

2 × 9⁶

2 × 9⁸

37.

If a = $(\begin{matrix} 2 \\ 4 \end{matrix})$ and b = $(\begin{matrix} -3 \\ 2 \end{matrix})$ , find 2a - b.

$(\begin{matrix} 1 \\ 6 \end{matrix})$

$(\begin{matrix} 7 \\ 6 \end{matrix})$

$(\begin{matrix} 1 \\ 10 \end{matrix})$

$(\begin{matrix} 7 \\ 10 \end{matrix})$

38.

Find the image of the point (2,5) under the transformation $(\begin{matrix} x \\ y \end{matrix})$ → $(\begin{matrix} x \\ 2 - y \end{matrix})$ .

(2,-3)

(2,2)

(2,3)

(2,7)

39.

Factorize completely the expression 4xy - 16x + 10y – 40.

(y + 4) (4x – 10)

(y – 4) (4x + 10)

(4 – y) (10 – 4x)

(y + 4) (4x + 10)

40.

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}

THEORY QUESTIONS

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?

(a)

Simplify 2 $\frac{3}{4}$ ÷ $(3 \frac{3}{8} - 1 \frac{1}{2})$

(b)

There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

(i)

find the number of students who speak

(α)

both French and English;

(β)

only English.

(ii)

Draw a Venn diagram to illustrate the above information.

(a)

Solve the inequality $\frac{2x - 1}{4}$ - $\frac{x - 2}{3}$ > 1

(b)

Find the value of the expression 2x - 3y if x = $\frac{1}{3}$ and y = - $\frac{1}{2}$ .

(c)

25 students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 passed in both Mathematics and Science. 3 students did not pass in any of the subjects.

Find

(i)

how many passed in Mathematics;

(ii)

the probability of meeting a student who passed in one subject only.

If M = {Prime integers between 1 and 11} and N = {factors of 12}, find:
(i) M ∪ N
(ii) M ∩ N

Simplify 45 ÷ 3 + 2 x 8 - 12 + 42

In the diagram, x, y and z are angles on a straight line. If x^o : z^o = 2 : 3 and y = 80^o, find x.

(a)

Simplify the expression 3x² + 6xy – 3y² + 4x² + 8xy + 2y²

(b)

(i)

Solve 3x – 9 ≥ 12 (x – 3)

(ii)

Illustrate your answer on the number line.

(c)

If p = 7, a = 16, b = 4 and c = 3, evaluate p² - $\frac{(a - b)}{c}$

(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?