OBJECTIVE TEST

What is the name of the figure above?

Cuboid

Kite

Triangle

Pyramid

Express 7352.4658 correct to three significant figures.

7352465.8

7352.47

7350

735

M = {g, o, q, s} and W = {h, p, r, t}. Find W U W.

{q, r, s, t}

{g, h, o, q, r}

{g, h, o, q, r, t}

{g, h, o, p, q, r, s, t}

If P = {2,3,4,6,8} and Q = {1,2,3,4}, find P∩Q.

{2,3,4}

{7,9,10}

{2,3,4,6,8}

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

Express 1.25 as a mixed fraction in its lowest form.

1 $\frac{1}{25}$

1 $\frac{4}{25}$

1 $\frac{1}{4}$

$\frac{3}{4}$

Use the information below to answer the question below

In the diagram above, the cylinder has diameter 4 cm and length 14 cm.

[Take π = $\frac{22}{7}$ ]

The area of the base is

176 cm²

44 cm²

$\frac{176}{7}$ cm²

$\frac{88}{7}$ cm²

$\frac{44}{7}$ cm²

XYZ is a right-angled triangle with length of sides as shown.

Which of the following equations gives the value of z²?

z² = (x² + y²)

z² = (x - y)

z² = (y² - y²)

z² = (x² - y²)

Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)

198.6

198.7

892.0

892.4

If a * b = 2a – b, evaluate 4 * 3

10.

In the diagram, MNO is a right angled triangle. |MO| = 13 cm and |MN| is 5 cm.

Find the value of x.

11.

Factorize: xy + 5x + 2y + 10.

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

12.

Use the diagram below to answer the question below.

Find the value of a°

68°

75°

105°

112°

124°

13.

The area of a square is 49 cm² . Find the perimeter of the square.

7 cm

14 cm

28 cm

49 cm

196 cm

14.

Arrange the following fractions in descending order of magnitude:

$\frac{2}{3}$ , $\frac{5}{7}$ , $\frac{2}{5}$ , $\frac{1}{2}$ .

$\frac{5}{7}$ , $\frac{2}{5}$ , $\frac{2}{3}$ , $\frac{1}{2}$

$\frac{5}{7}$ , $\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{2}{5}$

$\frac{1}{2}$ , $\frac{2}{5}$ , $\frac{5}{7}$ , $\frac{2}{3}$

$\frac{1}{2}$ , $\frac{5}{7}$ , $\frac{2}{3}$ , $\frac{2}{5}$

15.

An angle which is more than 90° but less than 180° is

an acute angle

a right angle

an obtuse angle

a reflex angle

16.

Solve the equation 13x – 2(3x + 4) = 22.

$\frac{18}{7}$

$\frac{26}{7}$

$\frac{30}{7}$

17.

How many faces has a cube?

18.

Which of the following best describes the statement: "The locus of a point which moves so that its distance from two fixed points are always equal"?

Bisector of angle

Perpendicular bisector

Circle

Two parallel lines

19.

A man has 6x sheep and 5y goats. He sells 3x sheep and 2y goats. How many animals are left after the sales?

3x - 3y

3x + 3y

9x - 5y

9x + 5y

20.

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

21.

Use the mapping below to answer the question below

-2	-1	0	2	3	4	......	x
↓	↓	↓	↓	↓	↓		↓
y	-1	1	5	7	9	......	21

Find the value of x

–7

22.

Three girls Ama, Adjoa and Abena measured the length of the sides of 3 right-angled triangles as follows:

Ama's measurements were 80 mm, 40 mm, 50 mm.

Adjoa's measurements were 50 mm, 120 mm, 130 mm.

Abena's measurements were 20 mm, 30 mm and 40 mm.

Whose measurement(s) was / were correct?

Ama's only

Abena's and Ama's

Adjoa's and Abena's

Ama's and Adjoa's only

Adjoa's only

23.

A book was sold for GH₵ 48.00 at a profit of 20%. Find the cost price.

GH₵ 38.40

GH₵ 40.00

GH₵ 60.00

GH₵ 57.00

24.

A square of side 6cm has the same area as a rectangle of length 9 cm. Find the breadth of the rectangle.

3 cm

4 cm

6 cm

24 cm

36 cm

25.

An article which costs GH¢ 25.00 was sold for GH¢ 35.00. Find the percentage profit made.

10%

28%

40%

70%

26.

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

-3

- $\frac{3}{4}$

$\frac{5}{3}$

27.

The distance from the centre of a circle to any point on it is called

circumference.

diameter.

radius.

sector.

28.

Find the difference between the values of (2d)² and 2d², when d = 3.

29.

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

7 hours 33 minutes

7 hours 53 minutes

8 hours 13 minutes

8 hours 20 minutes

30.

Find the area of the parallelogram PQRS

20 cm²

21 cm²

48 cm²

60 cm²

240 cm²

31.

If 7.2 and 7.9 are two points on a number line, find the number in the middle of these points.

7.35

7.45

7.55

7.65

32.

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

x < 2

x ≤ 3

x > 3

x ≥ 2

33.

Simplify 2ab² × 3a²b

5a³b³

5a²b²

6a³b³

5a²b²

36ab

34.

The diagram is a square of side 2 cm in which is inscribed a circle with center O.

Use the information to answer the question below.

Find the area of the shaded portion.

[Take π = $\frac{22}{7}$ ]

0.86 cm²

3.00 cm²

6.28 cm²

12.56 cm²

35.

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

How many members are in the set N?

36.

Find the highest common factor (HCF) of 48, 60 and 96.

37.

How many faces has a cuboid?

38.

The diagram is a square of side 2 cm in which is inscribed a circle with center O.

Use the information to answer the question below.

Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

3.14 cm²

6.28 cm²

4.00 cm²

12.56 cm²

39.

I gave a storekeeper a GH₵10.00 note for goods I bought. He asked me for another 15 Gp for ease of change. If he then gave me 50 Gp, how much did I pay for the goods?

GH₵9.35

GH₵9.45

GH₵9.65

GH₵10.65

40.

In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig. II.

20 cm

5 cm

4 cm

3 cm

THEORY QUESTIONS

(a)

A doctor treated 2,000 patients over a period of time. If he worked for 5 hours a day and spend 15 minutes on each patient, how many days did the doctor spend to treat all the patients?

(b)

The pie chart shows the distribution of textbooks to six classes A,B,C,D,E and F in a school.

(i)

If class D was given 720 textbooks, how many textbooks were distributed to each of the remaining classes?

(ii)

What is the average number of textbooks distributed to the classes?

(iii)

How many classes had less than the average number of textbooks distributed?

The ages of 20 school children were recorded as follows:

13	9	15	17	13
9	11	9	11	15
17	15	11	9	9
11	15	11	11	11

(a)

Make a frequency table for the data using the ages of 9, 11, 13, ..........

(b)

Use your table to calculate the mean age (correct to the nearest whole number).

(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)

In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.

(i)

Calculate the angle BDC.

(ii)

Calculate angle ABD.

(iii)

Find angle BAD.

(iv)

What type of triangle is triangle ABD?

(b)

Using a ruler and a pair of compasses only, construct triangle XYZ, with |YZ| = 8 cm, angle XYZ = 60° and |XY|=9 cm.

Measure

(i)

angle YZX;

(ii)

|XZ|

The following marks were obtained by pupils in a test.

6	4	8	2	8
6	8	8	8	10
8	9	8	6	10
2	2	6	6	6

(a)

Construct a frequency distribution table for the data.

(b)

What is the modal mark?

(c)

Calculate the mean mark.

(d)

How many pupils scored more than 6 marks?

(e)

What is the probability that a student chosen at random obtained 2 marks?

(a)

There are 20 students in a hostel. 16 of them are fluent in French and 10 of them are fluent in English. Each student is fluent in at least one of the two languages.

(i)

Illustrate this information on a Venn diagram

(ii)

How many students are fluent in both English and French?

(b)

The sum of the ages of two brothers Kofi and Kweku is 35. Kofi's age is two-thirds of Kweku's age. Find their ages.