OBJECTIVE TEST

Find the missing number in the following binary operation:

	1	1	0	0	1	1	0
-	*	*	*	*	*	*	*
		1	1	1	0	1	1

111011

101001

100011

101110

101011

Araba owes ₵550,000.00 at the bank. She goes to pay ₵150,000.00. How much does Araba owe the bank now?

₵700,000.00

₵600,000.00

₵500,000.00

₵400,000.00

How many integers are within the interval -5 < x < 7?

An article which cost GH₵ 600.00 was sold at a discount of 10%. Find the selling price.

GH₵ 60.00

GH₵ 504.00

GH₵ 560.00

GH₵ 540.00

The point P(-3,7) is reflected in the x-axis. Find its image.

(-3,-7)

(-3,7)

(-7,3)

(3,-7)

If A = {5,10,15,20,25,125} and B = {5,10,15,20,25,625}, list the elements of A ∪ B

{5,25}

{10,20,125,625}

{5,15,25,125,625}

{5,10,15,20,25,125,625}

Use the diagram below to answer the question below.

What is the value of c°?

68°

75°

105°

112°

124°

If the two figures ABCD and PQRS are similar, find the value of b.

60 cm

40 cm

33 cm

30 cm

In the diagram, ∆STR is the enlargement of ∆PQR. If |TQ| = 8 cm, |QR| = 4 cm and |PQ| = 2.4 cm, find |ST|.

4.8 cm

7.2 cm

8.4 cm

9.6 cm

10.

A bag contains 24 marbles, 10 of which are blue and the rest green. A boy picks a marble at random from the bag. What is the probability that he picks a green marble?

$\frac{1}{14}$

$\frac{7}{17}$

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}{10}$

11.

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%

12.

A bus departed from Elmina at 9:15 pm and arrived in Accra at 2:45 am the next day.

How long did the journey take?

4 hours 20 minutes

4 hours 30 minutes

5 hours 30 minutes

5 hours 20 minutes

13.

Use the diagram below to answer the question below.

Find the value of e.

38^o

40^o

88^o

92^o

14.

Simplify: (x - 1)² - 1.

x² - 2x

x² + 2x

x² - 2x - 1

x² - 2x + 1

15.

Araba bought an electric cooker for ₵540,000.00 at a discount of 10%. Find the actual price of the electric cooker.

₵469,000.00

₵496,000.00

₵594,000.00

₵600,000.00

₵605,000.00

16.

Kwame, Atsu and Kojo shared a profit of ₵500,000.00 in the ratio 1 : 4 : 3 respectively. How much did Atsu get?

₵62,500.00

₵125,000.00

₵187,500.00

₵250,000.00

₵312,500.00

17.

A watchman was paid a basic wage of ₵250.00 a day. If he worked every day in the month, calculate his basic wage for February 1988.

₵6250.00

₵7200.00

₵7250.00

₵7750.00

₵8750.00

18.

What is the image of -4 under the mapping x → $\frac{1}{2}$ x - 2?

–2

–4

19.

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

20.

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

Find angle ONP.

40°

68°

72°

112°

140°

21.

There are 20 beads in a box. Some are red and some green. The chance that one bead taken at random from the box is red is $\frac{1}{4}$ . Find the number of red beads in the box.

22.

In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.

60°

65°

70°

80°

23.

The heights of two boys are in the ratio 4 : 5. The shorter boy is 80 cm. What is the height of the taller boy?

100 cm

150 cm

164 cm

180 cm

200 cm

24.

Which of the following inequalities is represented on the number line below?

-2 < x < 3

-2 ≤ x < 3

-2 ≤ x ≤ 3

-2 < x ≤ 3

25.

Expand 3a(a – 4b)

3a – 12ab

3a² – 12ab

3a² – 12b

3a² – 12a

26.

Simplify $\frac{30}{5(-2)}$

-10

-6

-3

27.

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

-1

28.

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

x ≤ -2

x < -2

x ≥ -2

x > -2

29.

Find the image of the point (-3, 5) when it is rotated through 360° about the origin.

(5, -3)

(-3, 5)

(-5, 3)

(-3, -5)

30.

Convert 206 to a base five numeral.

411_five

4011_five

3321_five

1311_five

1131_five

31.

In 1995, 215 boys and 185 girls were admitted into a Senior Secondary School. Find, correct to the nearest whole number, the percentage of girls admitted.

46%

47%

53%

54%

32.

Workers are required to pay 4 $\frac{1}{2}$ % of their salaries into an educational fund. A worker’s salary is ₵120,000.00. How much does he pay into the educational fund?

₵5,332.00

₵5,400.00

₵6,000.00

₵10,800.00

₵11,500.00

33.

Find the diameter of a circle whose circumference is 88 cm. [Take π = 22⁄7]

14 cm

22 cm

28 cm

82 cm

34.

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

35.

Add 2.5 to the product of 4.2 and 0.2

13.4

10.9

3.34

1.34

36.

Find the set of integers within the interval -2 < x < 2

{-2,-1,2}

{-2,-1,0}

{-1,0,1}

{-1,1,2}

37.

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

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{1}{2}$

38.

Convert 37_ten to a base two numeral.

100101

100111

101101

110101

39.

Find the vector which translates the point (4, –5) to (3, –2)

$(\begin{matrix} -1 \\ -3 \end{matrix})$

$(\begin{matrix} -1 \\ 3 \end{matrix})$

$(\begin{matrix} -1 \\ 7 \end{matrix})$

$(\begin{matrix} 7 \\ 3 \end{matrix})$

40.

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

THEORY QUESTIONS

The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.

Ghanaian Language	No. of students who speak the language
Nzema	5
Ga	20
Twi	30
Ewe	25
Fante	10

(a)

Draw a pie chart for the distribution.

(b)

What is the modal Ghanaian language?

(c)

If a pupil is selected at random from the form, what is the probability that he speaks Ga?

Simplify: 5(6 - ab) + 2(-7 + 3ab)

The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
(i) gradient of the line;
(ii) y-intercept

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was GH₵ 540.00.
(i) How much bread did she sell during that week?
(ii) Find her average daily commission.

(a)

Using a scale of 2 cm to 2 units on both axes, draw on a graph sheet two perpendicular axes, 0x and 0y, for the interval -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.

(b)

On the same graph sheet, draw:

(i)

a quadrilateral ABCD with vertices A(2,4),B(2,8),C(8,8) and D(8,4);

(ii)

the image A₁B₁C₁D₁ of ABCD under a translation by vector $(\begin{matrix} -5 \\ -2 \end{matrix})$ , where A → A₁, B → B₁, C → C₁ and D → D₁;

(iii)

the image A₂B₂C₂D₂ of ABCD under a reflection in the y-axis, where A → A₂, B → B₂, C → C₂ and D → D₂.

(c)

(i)

What type of quadrilateral is ABCD?

(ii)

Find the gradient of A₂B₁.

(a)

Evaluate $\frac{2^{7} x 3^{4} x 5^{3}}{2^{3} x 3^{2} x 5^{2}}$ , leaving your answer in standard form.

(b)

Kwame rode a bicyble for a distance of x km and walked for another $\frac{1}{2}$ hour at a rate of 6 km per hour. If Kwame covered a total distance of 10 km, find the distance x he covered by bicycle.

(c)

A rectangular tank of length 22 cm, width 9 cm and height 16 cm is filled with water. The water is poured into a cylindrical container of radius 6 cm. Calculate the

(i)

volume of the rectangular tank.

(ii)

depth of water in the cylindrical container.

[Take π = $\frac{22}{7}$ ]

Using a ruler and a pair of compasses only,

(a)

construct a triangle ABC such that |BA| = 10 cm, angle ABC = 90° and angle BAC = 30°. Measure the length BC.

(b)

(i)

Bisect the angle ACB to meet BA at D.

(ii)

What type of triangle is CDA?

(c)

Calculate the area of triangle ABC

(a)

List the members of each of the sets B = {Whole numbers from 20 to 30} and D = {factors of 63}

List the members of

(i)

B ∩ D

(ii)

B U D

(b)

In a class of 60 students, 46 passed Mathematics and 42 passed English language. Everybody passed at least one of the two subjects.

(i)

Illustrate this information on a Venn diagram.

(ii)

How many students passed in both subjects?