OBJECTIVE TEST

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

What is the modal mark?

Solve $\frac{4k}{9}$ = 12.

If a * b = 2a – b, evaluate 4 * 3

Which of the following numbers is the next prime number greater than 23 ?

The least number in a set of real numbers is 24 and the greatest is 30. Which of the following is the correct interpretation of the statement?

24 ≤ x ≤ 30

24 < x < 29

23 < x < 29

24 < x < 30

23 ≤ x ≤ 29

Find the gradient of the line which passes through the points (2, 3) and (-4, 5).

-3

- $\frac{1}{3}$

$\frac{1}{3}$

Simplify 16² x 8²

2¹⁰

2¹⁴

2¹⁵

2¹⁶

If P = {multiples of 4 less than 16}, find P.

{4,8,10}

{4,8,12}

{1,4,8,12}

{4,8,12,16}

Expand 3a(a – 4b)

3a – 12ab

3a² – 12ab

3a² – 12b

3a² – 12a

10.

Given that 1 kilometre = $\frac{5}{8}$ mile, what is 240 miles in kilometres?

150 km

190 km

384 km

390 km

11.

Round 8921465 to the nearest hundred.

8921000

8921400

8921460

8921500

12.

Which of the following statements is true?

8+4 < 10

7+4 < 10

6+4 < 10

5+4 < 10

13.

Which of the following would you use to measure an angle?

Ruler

A pair of compasses

A set square

A protractor

14.

Write 83000 in standard form.

8.3x10^-4

8.3x10^-3

8.3x10³

8.3x10⁴

15.

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

130^o

115^o

65^o

60^o

16.

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?

17.

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

18.

A trader received a commission of 12 $\frac{1}{2}$ % on sales made in a month. His commission was ₵35,000.00. Find his total sales for the month.

₵36,250.00

₵59,750.00

₵245,000.00

₵280,000.00

₵315,000.00

19.

If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?

Set of whole numbers up to 6

Set of counting numbers less than 6

Set of counting numbers greater than 6

Set of integers less than 6

20.

Use the mapping below to answer the question below

x	1	2	3	4
↓	↓	↓	↓	↓
y	3	5	7	9

Find the value of y when x is 7.

–3

21.

Find the image of -3 under the mapping x → 2(x + 3).

22.

John walks for 22 $\frac{1}{2}$ minutes and runs 7 $\frac{1}{2}$ minutes to school. What percentage of the total time does he spend walking?

25%

30%

33%

75%

23.

M = {1, 2, 3, 8, 10} and N = {8, 1, x, 3, 2}.

If M is equal to N, what is the value of x?

24.

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

GH₵ 5.57

GH₵ 4.67

GH₵ 4.57

GH₵ 3.57

25.

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.

26.

If 2x = 5(x - 2) + 7, find the value of x.

-5 $\frac{2}{3}$

-1

5 $\frac{2}{3}$

27.

Simplify 3a² × 2ab × 4bc

9a³b²c

12a²b²c

24a²b²c

24a³b²c

28.

Which of the following statements best describes the construction below?

Construction of line AB from P.

Construction of perpendicular from P to meet line AB.

Construction of an arc of a circle with center P.

Construction of the bisector of line AB.

29.

If p = 7, q = 5 and r = 3, find the value of p² + q – r³.

30.

The population of Ghana was 5,000,000 in 1957. The population in 1998 was estimated to be 17,000,000. Find the percentage increase in population from 1957 to 1998.

2.4%

24%

240%

2400%

31.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

Find the value of x.

65^o

75^o

85^o

100^o

32.

An amount of GH₵ 375,000.00 was needed to build a clinic for a community of twelve towns. Each community contributed GH₵ 25,000.00. If the District Assembly also contributed GH₵ 30,500.00, how much more is needed to build the clinic?

GH₵ 44,500.00

GH₵ 45,500.00

GH₵ 35,500.00

GH₵ 75,000.00

33.

If Y = 595 and Z = 7071, find the sum of Y and Z.

6466

7566

7666

12,021

13,021

34.

Triangle ABC is a right-angled triangle. Find the length of AC.

1 cm

5 cm

7 cm

12 cm

35.

A bag of rice weighs 2 kg. If the empty bag weights 150 g, find the weight of the rice.

[1 kg = 1,000 g]

0.175 kg

0.185 kg

1.850 kg

1.750 kg

36.

Correct 5178.3426 to two decimal places.

5178.00

5178.30

5178.34

5178.35

37.

A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

$\frac{1}{11}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

38.

In the Venn diagram Q is the set of numbers inside the circle and R is the set of numbers inside the triangle.

Find Q ∩ R.

{1, 5}

{2, 3, 4}

{6, 7, 8}

{1,2,3,4,5}

{1,2,3,4,5,6,7,8}

39.

The product of three numbers is 1197. Two of the numbers are 3 and 21. Find the third number.

399

1134

40.

Solve the inequality 3(x – 1) ≤ 12

x ≤ -5

x ≤ -3

x ≤ 3

x ≤ 5

x ≤ $\frac{13}{3}$

THEORY QUESTIONS

An aeroplane left the Kotoka International Airport on Wednesday at 7:26 pm and reached its destination after nine hours thirty minutes. Find the day and the time the aeroplane reached its destination.

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet for -10 ≤ x ≤ 10 and -12 ≤ y ≤ 12.

Draw on this graph indicating the coordinates of all vertices, the quadrilateral ABCD with vertices A(0,10),B(-6,-2),C(-3,-11) and D(4,3).

iii

Draw the line x = -2 to meet AB at P and CD at Q.

Measure angles BPQ and PQD.

State the relationship between:

angles BPQ and PQD;

lines AB and CD.

Adamu was travelling a distance of 40 km from Kadumgu to Datanu. Sixty minutes after starting the journey, he made a stop at Cooltown, 10 km from Kadumgu to rest for 30 minutes. He then continued the journey from Cooltown and reached Datanu 60 minutes later.

(a)

Using a scale of 2 cm to 20 minutes on the horizontal axis and 2 cm to 5 km on the vertical axis, draw a distance-time graph for Adamu's journey.

(b)

Use the graph to determine the:

(i)

distance from Cooltown to Datanu;

(ii)

total time (in minutes), taken by Adamu to make the whole journey including the rest time;

(iii)

average speed of Adamu from Cooltown to Datanu.

(c)

If Adamu did not rest but travelled to Datanu within the time, what was his average speed?

(a)

The marks obtained by 20 pupils in a test were as follows:

4	8	7	6	2
1	7	4	3	7
6	4	7	5	2
7	5	4	8	3

(i)

Construct a frequency distribution table for this data.

(ii)

What is the mode of the distribution?

(iii)

Calculate the mean mark.

(iv)

What percentage of the pupils passed, if the pass mark is 6?

(v)

What is the probability that a pupil selected at random scored not more than 5 marks?

(b)

Simplify 7 $\frac{2}{3}$ - 4 $\frac{5}{6}$ + 2 $\frac{3}{8}$

(a)

Using a ruler and a pair of compasses only, construct:

(i)

triangle XYZ with |XY| = 9 cm,
|YZ| = 12 cm and |XZ| = 8 cm.

(ii)

the perpendicular bisector of line XY.

(iii)

the perpendicular bisector of line XZ.

(b)

(i)

Label the point of intersection of the two bisectors as T;

(ii)

With point T as center, draw a circle of radius 6 cm.

(c)

Measure:

(i)

|TX|;

(ii)

angle XYZ.

Simplify

, leaving the answer in standard form.

Make r the subject of the relation

ii)

From (b)(i), find the value of r when y = 3 and x = 10.

Juliet bought 1,756 kg of frozen chicken, 675 g of vegetables and 95 g of corn oil from a Shopping Mall. What is the total weight of the items she bought in kilogram?

(a)

Factorize completely 6xy - 3y + 4x - 2.

(b)

The diagram shows a ladder AB which leans against a vertical wall PQ at B. If |PB| is 8 m and the other end of the ladder is 6 m away from the foot of the wall (at P), find the length of the ladder (AB).

(c)

Kojo had 1,800 bags of rice in stock for sale. In January, he sold $\frac{2}{3}$ of it. In February, he sold $\frac{3}{4}$ of what was left.

(i)

What fraction of the stock of rice did he sell

(α)

in February?

(β)

in January and February?

(ii)

How many bags of rice were left unsold by the end of February?