OBJECTIVE TEST

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.

Find the LCM of 18, 42 and 90.

2 × 3²

2 × 3 × 7

2 × 3² × 5

2 × 3 × 5 × 7

2 × 3² × 5 × 7

Write in standard form 1342.

0.1342 x 10^-3

0.1342 x 10^-4

13.42 x 10²

1.342 x 10³

1.342 x 10⁴

The two sides of a parallelogram are 4.8 m and 7.2 m long. Find its perimeter.

48.0 m

34.6 m

24.0 m

17.3 m

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

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{1}{2}$

A box contains 10 green and 8 white balls of the same size. If a ball is selected at random from the box, what is the probability that it is green?

$\frac{1}{10}$

$\frac{4}{5}$

$\frac{5}{9}$

$\frac{4}{9}$

Aba bought a carton of fish at GHC 80.00 and sold it at a profit of GHC 13.60. Find the selling price.

GH₵ 66.40

GH₵ 93.60

GH₵ 103.60

GH₵ 144.00

If the bearing of A from B is 240^o, find the bearing of B from A

040^o

060^o

120^o

300^o

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

Simplify 1 $\frac{1}{2}$ + 2 $\frac{1}{4}$ - 3 $\frac{5}{8}$ .

$\frac{1}{8}$

$\frac{3}{8}$

$\frac{3}{16}$

$\frac{5}{16}$

10.

The table below shows the average rainfall in a town from March 2003 to August 2003.

Use it to answer the question below.

Month	March	April	May	June	July	August
Rainfall (mm)	96	147	281	452	265	139

What was the total amount of rainfall in May, June and July?

696 mm

930 mm

998 mm

1020 mm

11.

Convert 2114_five to a base ten numeral.

194

280

284

300

12.

What is the value of x if 10^x = 1000?

13.

Express 5 as a percentage of 4.

125%

120%

25%

20%

14.

Find the simple interest on ₵28,000.00 at 3 $\frac{1}{2}$ % per annum for 6 months.

₵490.00

₵560.00

₵980.00

₵4,000.00

₵5,880.00

15.

Use the diagram below to answer the question below.

Find the angle marked a.

70^o

50^o

40^o

30^o

16.

What is the number of all possible outcomes of tossing a die?

17.

If 2y = 6 – 3x, find y when x = 0

–3

–2

18.

Express $\frac{5}{16}$ as a decimal fraction.

0.3333

0.3125

0.2667

0.2500

19.

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

20.

Find the highest(greatest) common factor of 35 and 70.

21.

What is the rule for the above mapping?

y = x + 4

y = 3x + 2

y = 4x + 1

y = 5x + 1

22.

The dimensions of the rectangle are given in base two. Find its perimeter.

100_two cm

101_two cm

110_two cm

1001_two cm

1010_two cm

23.

Simplify 35x⁵y³ ÷ 7xy²

5x⁴y

5x⁴y⁵

5x⁶y

5x⁶y⁵

24.

A number of oranges are shared among 50 students and each got 15 oranges. If the same number of oranges are shared equally among 30 students, how many will each student get?

25.

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

26.

Ama is N years old now. How old will she be in 10 years?

(N – 10) years

(N + 10) years

(10 – N) years

10 N years

$\frac{10}{N}$ years

27.

Mr. Agyekum has 11 of the GH₵ 20.00 notes, 15 of the GH₵ 10.00 notes and 6 of the GH₵ 5.00 notes. How much does Mr. Agyekum have altogether?

GH₵ 280.00

GH₵ 320.00

GH₵ 360.00

GH₵ 400.00

28.

Find the volume of a cuboid of sides 15 m by 12 m by 3 m.

36 m³

45 m³

180 m³

540 m³

29.

Express 0.055 as a common fraction

$\frac{11}{40}$

$\frac{5}{18}$

$\frac{1}{40}$

$\frac{11}{200}$

30.

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

3⁄2

5⁄4

3⁄5

1⁄2

31.

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

660

6,600

7,178

7,600

8,317

32.

Find the image of P in the mapping below:

1	2	3	P
↓	↓	↓	↓
3	5	7	?

P² + 2

P² + 1

2P + 1

P + 2

P² - 2

33.

What percentage of 5 is 0.25?

20%

25%

34.

Esi made sales of 15 twenty cedi notes, 14 ten cedi notes and 15 two cedi notes. Find her total sales.

GH₵ 305.00

GH₵ 440.00

GH₵ 470.00

GH₵ 740.00

35.

What is the rule for the mapping?

x→ 3x²-1

x→ 5x²-3

x→ x²+1

x→ 4x-2

36.

Write 0.01723 in standard form.

0.01723 x 10^-2

0.01723 x 10²

1.723 x 10^-2

1.723 x 10²

37.

Forty percent of students in a class speak Ga and seventy five percent speak Twi. Each student speaks at least one of the two languages.

Use the information above to answer the question below.

What percentage of the class speaks both Ga and Twi?

10%

15%

30%

38.

Simplify:

39.

The diagram below shows a circle with centre O, S and T are points on the circle.

Use it to answer the question below

What name is given to the shaded region?

sector

segment

radii

arc

cone

40.

The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

THEORY QUESTIONS

(a)

Simplify:

(b)

Find the product of (2x - 3) and (2x + 3).

(c)

In the diagram, ABC is an equilateral triangle. Find the value of (x + y).

(a)

Simplify: $\frac{2}{3}$ of 6 $\frac{3}{4}$ ÷ $(2 \frac{4}{15} - 1 \frac{2}{3})$ .

(b)

Solve the equation $\frac{1}{3}$ (x + 3) - 2(x - 5) = 4 $\frac{1}{3}$ .

(c)

If 3y = 2x² - 3x + 7, find y, when x = 5

(a)

A box has length 8.0 cm, width 5.0 cm and height 10.0 cm. Find the

(i)

total surface area of the box

(ii)

the volume of the box

(b)

(i)

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

(ii)

On the same graph sheet mark the x-axis from -5 to 5 and the y-axis from -6 to 6.

(iii)

Plot and join the points A(0,3), B(2,3) and C(4,5) to form triangle ABC.

(iv)

Draw the image A₁B₁C₁ of triangle ABC under a translation by the vector $(\begin{matrix} -1 \\ -1 \end{matrix})$ .

(v)

Draw the image A₂B₂C₂ of triangle ABC under a reflection in the x-axis.

(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.

Using a ruler and a pair of compasses only,

(a)

(i)

construct a triangle ABC such that |AB| = 8 cm, angle ABC = 60° and |BC| = 8 cm.

(ii)

What type of triangle is triangle ABC?

(b)

construct the bisector of angle BAC to meet |BC| at D. Measure |AD|.

(c)

construct the perpendicular bisector of |BA| to meet |AD| at O.

(d)

Using O as centre and radius OD, draw a circle to touch the three sides of the triangle.

(a)

If r =

and m =

, find p given p = r - m.

(b)

The sum of two numbers is 81. If the second number is twice the first, find the second number

(c)

The floor of a rectangular hall is of length 9 m and width 4 m. How many tiles of 20 cm by 30 cm can be used to cover the floor completely.