KUULCHAT
MATHEMATICS MOCK

OBJECTIVE TEST

1.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

What is the probability that a pupil chosen at random scores 8 marks?

A.

1 8

B.

4 23

C.

1 4

D.

1 3

E.

1 2

2.

Given that A = {b, c, i} and B = {a, e, f, i}, find A ∩ B.

A.

{a, b, c, e, f, i}

B.

{f, i}

C.

{a}

D.

{i}

3.

In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

Use this information to answer the question below.

How many pupils read English only?

A.

2

B.

3

C.

5

D.

10

4.

Find the Least Common Multiple (L.C.M) of 2, 3 and 5.

A.

6

B.

12

C.

24

D.

30

5.

The volume of a cube is 27 cm3. Find the area of one of its faces.

A.

3 cm2

B.

6 cm2

C.

9 cm2

D.

18 cm2

E.

54 cm2

6.

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

A.

-12

B.

-8

C.

-5

D.

-4

7.

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

A.

{4,8,10}

B.

{4,8,12}

C.

{1,4,8,12}

D.

{4,8,12,16}

8.

Which of the following is not an integer?

A.

0

B.

1

C.

0.5

D.

-5

9.

Not drawn to scale

In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.

A.

3.0 cm

B.

8.0 cm

C.

9.0 cm

D.

19.2 cm

10.

If 2n - 5 = 1 2 n, find the value of n.

A.

1 3

B.

1 2

C.

2 1 2

D.

3 1 3

11.

A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?

A.

2

B.

5

C.

8

D.

10

12.

The image of P(10, -3) when translated by the vector r is P’ (4, 5). Find r.

A.

B.

C.

D.

13.

A box contains 30 identical balls of which 16 are white and the rest yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

A.

1 16

B.

7 15

C.

8 15

D.

7 8

14.

There are 15 females in a debating club. If the ratio of females to males is 3:2, how many members are in the club?

A.

6

B.

10

C.

22

D.

25

15.

Given that a = 2 and b = 3, evaluate (2a + b) (a – 2b)

A.

28

B.

8

C.

–7

D.

–8

E.

–28

16.

Simplify 39 ÷ 33

A.

327

B.

312

C.

36

D.

33

17.

Yakubu, Seidu and Amina shared an amount of money in the ratio 3 : 4 : 5. Find how much was shared, if Amina received ₵40,000.00

A.

₵72,000.00

B.

₵80,000.00

C.

₵96,000.00

D.

₵120,000.00

18.

In the diagram above, AB is parallel to CD. Angles x and y are

A.

alternate angles

B.

corresponding angles

C.

vertically opposite angles

D.

co-interior angles

19.

Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.

A.

3 : 2

B.

1 : 3

C.

2 : 3

D.

2 : 1

20.

How many lines of symmetry has an equilateral triangle?

A.

1

B.

2

C.

3

D.

4

21.

The number of girls in a mixed school is 420. If the ratio of boys to girls in the school is 3:2, how many students are in the school?

A.

1050

B.

1470

C.

1630

D.

1680

22.

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

A.

0.80 m

B.

1.25 m

C.

1.50 m

D.

3.00 m

23.

Simplify 2 x (3 1 3 + 1 1 6 )

A.

2 1 3

B.

4 1 4

C.

6 2 3

D.

8

E.

9

24.

In the diagram below, find the bearing of P from Q

A.

045°

B.

090°

C.

135°

D.

180°

E.

270°

25.

In the diagram below, triangle QRT is the enlargement of QST.

Which side of triangle QRT corresponds to side QT of triangle QST?

A.

TS

B.

TR

C.

QR

D.

SR

26.

If y = x + 8 x - 4 , find the value of y when x = 2.

A.

5

B.

-5

C.

4

D.

-4

27.

Evaluate 1 2 [(4 – 1) – (5 – 6)]

A.

–4.0

B.

1.0

C.

2.0

D.

3.0

E.

4.0

28.

In the diagram, XYZ is a triangle. YW is a straight line. Angle XYZ = 52° and angle XZW = 125°.

Find angle YXZ.

A.

35°

B.

55°

C.

73°

D.

107°

29.

The table below gives the number of goals scored by a football team in a league season:

Number of goals scored in a match 0 1 2 3 4 5
Frequency 1 7 6 4 1 1

Use it to answer the question below.

Find the total number of goals scored by the team.

A.

41

B.

40

C.

20

D.

19

E.

15

30.

Convert 222five to a number in base ten.

A.

30

B.

52

C.

60

D.

62

31.

Find the volume of a cube of side 5 cm.

A.

10 cm3

B.

15 cm3

C.

25 cm3

D.

125 cm3

32.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

What is the modal number?

A.

1

B.

4

C.

5

D.

7

33.

Make m the subject of the relation 1 m = 1 p + 1 r .

A.

m = pr r + p

B.

m = pr r - p

C.

m = r - p pr

D.

m = r + p pr

34.

Kofi throws a die. What is the probability that he throws the number 2?

A.

1

B.

2 3

C.

1 2

D.

1 3

E.

1 6

35.

The ages in years of 10 children at a party are 2,3,3,3,4,4,5,5,5 and 6. If a child is chosen at random, what is the probability that he or she is not less than 5 years old?

A.

2 3

B.

2 5

C.

3 10

D.

1 2

36.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

How much does Mr. Awuah spend on rent?

A.

₵90.00

B.

₵450.00

C.

₵4,500.00

D.

₵9,000.00

E.

₵16,200.00

37.

The interior angle of a regular polygon is 120o. How many sides has the polygon?

A.

3

B.

4

C.

5

D.

6

38.

The height of a flag pole in a scale drawing is 5 cm. If the scale is 1 cm to 3 m, what is the actual height of the pole?

A.

10 m

B.

15 m

C.

8 m

D.

5 m

39.

A write watch is priced GH₵2,000.00. A shopkeeper allows a discount of 2% on the cost price.

Find the discount on 20 of such wrist watches.

A.

GH₵500.00

B.

GH₵600.00

C.

GH₵800.00

D.

GH₵1,000.00

40.

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

A.

6 hours

B.

7 1 2

C.

11 1 2

D.

20 hours

THEORY QUESTIONS

1.

The bar chart above is the distribution of marks in a class test.

(a)

(i)

Write down the frequency table for the distribution.

(ii)

Use the table to find the mean mark.

(b)

If the pass mark is 4, how many pupils failed the test?

2.

(a)

If 4m - 2(3 + 2m) + m(2m + 4) = 0, find the values of m.

(b)

At a political rally, there were 240 women, 200 men, 160 boys and 120 girls.

(i)

Draw a pie chart to illustrate the information.

(ii)

What percentage of the people at the rally were females?

3.

(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.

4.

Using a ruler and a pair of compasses only,

(a)

draw |PQ| = 9 cm

(b)

construct a perpendicular to PQ at Q

(c)

construct angle QPS = 60° at the point P on PQ such that |PS| = 6.5cm

(d)

construct a line parallel to PQ through S. let the perpendicular through Q and the parallel through S, meet at R. Measure |PR|.

5.

a

The table below shows the ages of students admitted in a hospital.

Age (years) 10 11 12 13 14 15
Number of students 5 1 7 10 3 4

Use the information to answer the following question:

i

What is the modal age?

ii

Calculate, correct to two decimal places, the mean age of the students.

b

Rice is sold at GH₵56.00 per bag of 50 kg. A trader bought some bags of rice and paid GH₵1,344.00.00

i

How many bags of rice did the trader buy?

ii

If the trader retailed the bags of rice at GH₵1.40 per kg, how much profit was made on 1 kg of rice?

6.

The marks obtained by students in a class test were

4

8

7

6

7

2

1

7

4

7

3

7

6

4

3

7

5

2

7

2

5

4

8

3

2

a

Construct a frequency distribution table for the data.

b

Find the:

i)

mode of the distribution

ii)

median mark of the test;

iii)

mean mark.