KUULCHAT
MATHEMATICS MOCK

OBJECTIVE TEST

1.

Use the information below to answer the question below.

The ages in years of 9 children at a birthday party are 2, 3, 3, 3, 4, 5, 5, 5, 6.

What is the median age?

A.

2.0

B.

3.0

C.

3.5

D.

4.0

E.

5.0

2.

How many faces has a rectangular pyramid?

A.

4

B.

5

C.

6

D.

7

3.

Find the L.C.M of 10, 15 and 25.

A.

90

B.

120

C.

150

D.

300

4.

A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?

A.

3.10 p.m.

B.

4.10 p.m.

C.

5.10 p.m.

D.

6.10 p.m.

5.

Find the set of missing numbers on the number line above.

A.

{-21, -6, 11}

B.

{-21, -10, 11}

C.

{-25, -6, 15}

D.

{-25, -10, 15}

6.

Express 5 as a percentage of 4.

A.

125%

B.

120%

C.

25%

D.

20%

7.

The pie chart is to be drawn from the data in the following table:

Cassava 20%
Yam 17%
Plantain 28%
Maize 35%

What will be the value of the angle of the sector for maize?

A.

126.0 o

B.

100.8 o

C.

72.0 o

D.

61.2 o

8.

What percentage of 5 is 0.25?

A.

4%

B.

5%

C.

20%

D.

25%

9.

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}

10.

Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?

A.

1

B.

4 5

C.

3 5

D.

2 5

E.

1 5

11.

Given that

, find the value of p.

A.

4

B.

3

C.

2

D.

1

12.

Round 8921465 to the nearest hundred.

A.

8921000

B.

8921400

C.

8921460

D.

8921500

13.

In the diagram, PP1, QQ1, RR1, where P1Q1R1 is an enlargement.

If |PR| = 3.6 m, what is |P1R1|?

A.

–7.2 m

B.

–1.8 m

C.

1.2 m

D.

1.8 m

E.

7.2 m

14.

Simplify -4(3-5)+10-3(7+4)+30.

A.

-1

B.

15

C.

56

D.

65

15.

The next term in the sequence 3, 6, 12, 24, ...

A.

27

B.

30

C.

36

D.

48

16.

If 9 21 is equivalent to 1 + x 7 , find the value of x.

A.

1

B.

2

C.

4

D.

5

E.

6

17.

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

A.

{2,3,4}

B.

{7,9,10}

C.

{2,3,4,6,8}

D.

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

18.

Find the rule for the following mapping:

x 1 2 3 4 5
y 1 4 9 16 25
A.

yx + 2

B.

y → 2x

C.

yx2

D.

y → 2x + 2

19.

Simplify: 14 1 3 - 2 3 8 + 5 7 12

A.

6 3 8

B.

7 5 12

C.

17 5 12

D.

17 13 24

20.

Use the figure below to answer the question below.

What is the value of f?

A.

10°

B.

20°

C.

40°

D.

80°

21.

Solve 4x – 6 < -2

A.

x < 1

B.

x > 1

C.

x < -1

D.

x > -1

E.

x < 4

22.

Calculate, correct to two decimal places, 0.61 ÷ 0.8

A.

0.07

B.

0.08

C.

0.76

D.

0.83

E.

7.62

23.

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

A.

19

B.

57

C.

63

D.

399

E.

1134

24.

Simplify: (2ab2)2 x 3a3b.

A.

6a4b5

B.

12a3b4

C.

12a6b4

D.

12a5b5

25.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

A.

3

B.

4

C.

5

D.

6

E.

7

26.

Simplify: 2a 3 - a - b 2 .

A.

a - 3

B.

a - 3b 6

C.

a + 3b 6

D.

a + 3b

E.

a - b

27.

In the diagram below, ACD is an isosceles triangle in which |AD| = |AC| and DC is parallel to BE, find the value of the angle marked x.

A.

55°

B.

62.5°

C.

110°

D.

117.5°

E.

125°

28.

Solve 25x + 450 ≤ 3000.

A.

x ≥ 102

B.

x ≤ 102

C.

x ≥ 138

D.

x ≤ 138

29.

Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

A.

3 9

B.

7 18

C.

5 9

D.

11 19

30.

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

A.

B.

C.

D.

31.

If 21:2x = 7:12, find the value of x.

A.

10

B.

12

C.

15

D.

18

32.

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

What is the modal mark?

A.

4

B.

5

C.

6

D.

7

E.

8

33.

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 y

A.

3

B.

1

C.

–1

D.

–3

E.

-5

34.

Prices of items in a shop were reduced by 10% during a reduction sale. If a customer bought an electric fan for ₵81,000.00, what was its original price?

A.

₵72,900.00

B.

₵73,900.00

C.

₵89,100.00

D.

₵90,000.00

35.

A housing agent makes a commission of GH₵ 103,500 when he sells a house for GH₵ 690,000. Calculate the percentage of his commission.

A.

15.0 %

B.

10.0 %

C.

7.5 %

D.

5.0 %

36.

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

A.

9 m

B.

13 m

C.

15 m

D.

16 m

37.

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.

A.

GH₵ 1,200.00

B.

GH₵ 1,500.00

C.

GH₵ 1,750.00

D.

GH₵ 1,800.00

38.

Factorize completely xy - xm - my + m2.

A.

(m-y)(x-m)

B.

(x-m)(y-m)

C.

(m-y)(m-x)

D.

(y-m)(m-x)

39.

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

A.

4.8 cm

B.

7.2 cm

C.

8.4 cm

D.

9.6 cm

40.

A car uses 150 litres of petrol in 45 mins. How many litres of petrol will it use in 1 hour?

A.

375 litres

B.

230 litres

C.

225 litres

D.

200 litres

THEORY QUESTIONS

1.

Using a ruler and a pair of compasses only,

(a)

Construct triangle ABC such that |AB| = 6 cm, |AC| = 10cm and |BC| = 8 cm. Measure angle ABC.

(b)

Construct the perpendicular bisectors (mediators) of |AB| and |BC|. Let the bisectors meet at O.

(c)

Construct a circle with centre O and radius OA. Measure the radius of the circle.

2.

a

Simplify

, leaving the answer in standard form.

b

i)

Make r the subject of the relation

ii)

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

c

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?

3.

Using a ruler and a pair of compasses only,

(a)

construct the triangle XYZ, in which |YZ| = 6 cm, angle XYZ = 60° and |XZ| = 9 cm. Measure |XY|

(b)

(i)

construct the mediator of YZ.

(ii)

draw a circle, centre X and radius 5 cm. Measure |YA|, where A is the point of intersection of the mediator and the circle in the triangular region XYZ

4.

(a)

Copy and complete the table for the relation y = 5 - 2x for -3 ≤ x ≤ 4.

x -3 -2 -1 0 1 2 3 4
y 11 5 1 -3

(b)

Using a scale of 2 cm to 1 unit on th x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes ox and oy for -5 ≤ x ≤ 5 and -12 ≤ y ≤ 12.

(c)

(i)

Using the table, plot all the points of the relation y = 5 - 2x.

(ii)

Draw a straight line through all the points.

(d)

Using the graph, find the:

(i)

value of y when x = -2.6;

(ii)

value of x when y = -2.8;

(iii)

gradient of the line.

5.

(a)

P = {Factors of 30}
Q = {Multiples of 5 less than 40}

Find PQ

(b)

A trader saved GH₵200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of the 3 years?

(c)

Evaluate 4.56 x 3.6 0.12 and leave your answer in standard form.

6.

a

In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.

i

Draw a Venn diagram to illustrate the given information.

ii

How many girls play:

α

one or two of the games;

β

none of the two games?

b

In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

[Take π = 22 7 ]