OBJECTIVE TEST

Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter

11.0 m

36.6 m

28.0 m

47.6 m

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

A man travelled a distance of 8 km in an hour. How long will it take him to cover a distance of 12 km, travelling at the same speed?

1⅓ hrs

1½ hrs

1¾ hrs

2 hrs

Mensah packed 1,800 apples into a number of boxes. If each box contained 120 apples, how many boxes were fully packed?

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

A shop increased all its prices by 10%. Calculate the new price for an article which previously sold for ₵7,500.00

₵6,750.00

₵7,575.00

₵7,800.00

₵8,250.00

₵8,350.00

The point P moves in a plane such that it is always at equal distance from two fixed points, A and B in the same plane. Which of these is the locus of the point P?

The bisector of angle PAB

A circle centre B and radius AB

A circle with AB as the diameter

The perpendicular bisector of line AB.

The figure below is a cuboid wih dimensions x cm by y cm by z cm. Find the area of the face PQRV.

xy cm²

yz cm²

x² cm²

xz cm²

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)

Commutative

Associative

Closure

Distributive

10.

Find the rule for the mapping:

1	2	3	4	5	...	n
↓	↓	↓	↓	↓	↓	↓
10	21	32	43	54	...	-

n → 10n

n → (10n + 1)

n → (11n - 1)

n → (7n + 3)

11.

What fraction of a revolution is 72°?

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{5}{8}$

12.

Kofi, Kojo and Ama shared GH₵480,000.00 in the ratio 3:5:4.

How much did Ama receive?

GH₵160,000.00

GH₵200,000.00

GH₵218,181.81

GH₵342,859.14

13.

What is the rule for the above mapping?

y = x + 4

y = 3x + 2

y = 4x + 1

y = 5x + 1

14.

Simplify: 5 - 7 + 2(3 - 8)

-12

-8

-5

-4

15.

30 men dig a pit in 21 days. How many days will 14 men take to dig the pit, working at the same rate?

16.

A boy scores $\frac{17}{25}$ in a French test. Express his score as a percentage.

17%

34%

68%

85%

17.

If x = {1, 3, 5, 7, 9, 11, 13, 15}, find the truth set of x – 3 ≥ 10.

{15}

{13,15}

{11,13,15}

{9,11,13,15}

{7,9,11,13,15}

18.

135 pencils were to be packed into boxes. Each box could take 12 pencils. Find the number of boxes that were fully packed.

10 boxes

11 boxes

12 boxes

13 boxes

19.

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

a² - a + 6

2a² + 7a - 6

2a² - a - 6

2a² - 12a + 6

20.

Kofi and Ama shared an amount of money in the ratio 3 : 2 respectively. If Kofi had ₵60,000.00, how much was shared?

₵36,000.00

₵40,000.00

₵90,000.00

₵100,000.00

₵120,000.00

21.

Find the value of a – 3ab when a = -2 and b = 3

-20

-16

22.

Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?

7 kg

10 kg

14 kg

88 kg

23.

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?

x + 7

x + 14

2x - 7

2x + 7

24.

Solve 2^x = 8 x 2⁰.

x = 3

x = 2

x = -2

x = -3

25.

Which of the following numbers is the largest?

-70

-50

-3

-2

26.

Peter had GH₵ 200.00 and spent GH₵ 83.00. What percentage of the money is left?

29.06%

70.94%

58.50%

41.50%

27.

Use the diagram below to answer the question below.

Find the angle marked b.

150^o

140^o

110^o

100^o

28.

Given that

find,

29.

If $(\begin{matrix} 4 \\ 11 \end{matrix})$ = $(\begin{matrix} x - 3 \\ 11 \end{matrix})$ , find the value of x.

-1

30.

Change 124_five to a base ten numeral.

31.

In the relation v = u+ at, find v when u = 6, a = 10 and t = 2

120

32.

A boy walked 7 km on a bearing 060°. Which of the following diagrams shows his direction.

33.

Change 110011_two to number in base ten.

34.

List the members of the set {2 ≤ x ≤ 5}.

{2, 5}

{2, 3, 4}

{2, 3, 5}

{2, 3, 4, 5}

35.

Arrange the following fractions from the lowest to the highest:

¼ , ⅗ , ⅔

⅔ , ¼ , ⅗

⅔ , ⅗ , ¼

⅗ , ¼ , ⅔

36.

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

37.

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

38.

In an enlargement, the area of the object was multiplied by 144 to get the area of the image. Find the scale factor of the enlargement.

144

39.

The product 6287 x 543 = 3,413,841.

What is the value of 628.7 x 5.43?

3,413,841

342,384.1

34,138.41

3,413.841

341.3841

40.

Simplify: 11 – (11 – 4) + 13.

–7

–17

THEORY QUESTIONS

(a)

In the diagram, ∆PQR is an enlargement of ∆PST. |PS| = 4 cm, |QS| = 2 cm and |QR| = 10 cm.

(i)

Find the length of ST.

(ii)

If |PQ| = |PR|, find the area of ∆PQR

(b)

The total area of a school compound is 900 $\frac{1}{2}$ m². The school has Administration and Classroom block, Library, School Park, Roads and Walkways.

The areas of the Administration and Classroom block, Library and School Park are 300 $\frac{1}{4}$ m², 200 $\frac{1}{2}$ m² and 120 $\frac{1}{8}$ m² respectively.

Find the area covered by Roads and Walkways altogether.

(a)

Using a ruler and a pair of compasses only,

(i)

construct a triangle XYZ with length XY = 7 cm, length YZ = 5 cm and angle XYZ = 45^o.

(ii)

Measure and write down the length of XZ.

(b)

Given that the circumference of a circle is 44 cm, find

(i)

the radius of the circle;

(ii)

the area of the circle.

[Take π = $\frac{22}{7}$ ]

(a)

Solve 5 – 2x > x + 2, where x is a real number.

Illustrate your result on the number line.

(b)

Find the truth set of the equation: $\frac{2}{3}$ (3y - 1) - (y + 2) = $\frac{1}{3}$

(c)

Factorize completely: mp + np – mt – nt

(d)

Make t the subject of the relation v = u + at

The following table gives the distribution of sales of soft drinks sold by the Jatokrom JSS canteen in one week.

Soft Drink	No. of Bottles Sold
Fanta	13
Pepsi Cola	21
Mirinda	14
Coca-cola	17
Sprite	7

Draw a pie chart to illustrate the sales.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	0	3	6	9	12

The mapping shows the relationship between x and y.

using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, draw two perpendicular axes 0x and 0y on a graph sheet for 1 ≤ x ≤ 5 and 0 ≤ x ≤ 14;

ii)

plot the point for each ordered pair, (x, y).

iii)

join the points with a straight line;

iv)

using the graph, find the gradient of the line in (a)(iii);

use the graph to find the equation of the line in (a)(iii).

Simplify: 32 x 8 x 4 x 2, leaving the answer in the form 2ⁿ

(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.