Mathematics 2012

Objective Test

Question 1

If P = {2,3,5,7} and Q = {2,4,6,8}, find P∩Q.

A.{2}

B.{3}

C.{4}

D.{5}

Question 2

Which of the following numbers is an integer?

A.-54

B.-23

C.0.5

D.1

Question 3

Find the Lowest Common Multiple (LCM) of

2^{2} \times 3 \times 5^{2}

and

2^{3} \times 3^{2} \times 5

2^{2} \times 3 \times 5

2^{2} \times 3^{2} \times 5^{2}

2^{3} \times 3 \times 5

2^{3} \times 3^{2} \times 5^{2}

Question 4

How many diagonals are in a rectangle?

A.1

B.2

C.3

D.4

Question 5

Simplify

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

A.-1

B.15

C.56

D.65

Question 6

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

Question 7

Convert 42 to a base two numeral.

A.1001010two

B.1010010two

C.1010100two

D.101010two

Question 8

Simplify 57x5452

A.57

B.58

C.59

D.513

Question 9

A tank contains 400 litres of water. If 100 litres is used, what percentage is left?

A.25%

B.30%

C.40%

D.75%

Question 10

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

A.1 cm

B.5 cm

C.7 cm

D.12 cm

Question 11

Arrange the following fractions in descending order of magnitude: 23, 57, 25, 12.

A.57, 25, 23, 12

B.57, 23, 12, 25

C.12, 25, 57, 23

D.12, 57, 23, 25

Question 12

Find the image of 3 under the mapping, x → 10 - 2x.

A.4

B.5

C.8

D.16

Question 13

Simplify

\frac{1}{3} + \frac{1}{9} + \frac{1}{27}

\frac{5}{27}

\frac{7}{27}

\frac{11}{27}

\frac{13}{27}

Question 14

2 x = 5 (x - 2) + 7

, find the value of x.

- 5 \frac{2}{3}

B.-1

C.1

5 \frac{2}{3}

Question 15

The table below shows the day and night temperatures of a town during a week. Use it to answer the question below.

A.24.4 °C

B.30.2 °C

C.31.4 °C

D.32.2 °C

Question 16

On which day was the change in temperature the least?

A.Monday

B.Saturday

C.Sunday

D.Tuesday

Question 17

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?

\frac{16}{30}

\frac{7}{15}

\frac{8}{15}

\frac{7}{8}

Question 18

Find the truth set of 14(x + 3) ≤ 2x - 1.

A.{x : x ≤ -3}

B.{x : x ≤ -1}

C.{x : x ≥ 1}

D.{x : x ≥ -3}

Question 19

The perimeter of the figure below is 71 cm. Find the diameter of the semi-circumference portion. [Take π =

\frac{22}{7}

]

A.1.0 cm

B.3.5 cm

C.7.0 cm

D.14.0 cm

Question 20

Simplify

\frac{3 x}{4} - \frac{x - y}{3}

\frac{5 x - 4 y}{12}

\frac{13 x - 4 y}{12}

\frac{5 x + 4 y}{12}

\frac{13 x + 4 y}{12}

Question 21

Kojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua’s weight?

A.4.8 kg

B.5.0 kg

C.6.0 kg

D.7.2 kg

Question 22

Find the volume of a cylinder of height 3 cm and radius 2 cm.

A.6π cm³

B.12π cm³

C.18π cm³

D.24π cm³

Question 23

Given the points S(5, -2) and T(3, 2), calculate the gradient of the line ST.

A.-2

\frac{- 3}{5}

\frac{1}{2}

D.2

Question 24

Kofi invested GH₵ 150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH₵11,250.00?

A.2 years

B.3 years

C.4 years

D.5 years

Question 25

Express 3.75 as a mixed fraction.

3 \frac{1}{5}

3 \frac{1}{4}

3 \frac{1}{3}

3 \frac{3}{4}

Question 26

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5 cm on the map?

A.0.5 km

B.5.0 km

C.50.0 km

D.500.0 km

Question 27

Given that r = (-3, 4) and s = (1, -3), find r - 2s.

A.(-5, 10)

B.(-5, 11)

C.(-2, 5)

D.(-2, 8)

Question 28

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

A.2.20 kg

B.2.25 kg

C.2.35 kg

D.22.50 kg

Question 29

A watch gains 12 minutes per hour. What is the total time gained from 12 noon to 12 midnight in a day?

A.12 minutes

B.18 minutes

C.72 minutes

D.96 minutes

Question 30

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

A.1000 books

B.1800 books

C.2000 books

D.3000 books

Question 31

The bearing of Atoru from Busase is 275°. What is the bearing of Busase from Atoru?

A.095°

B.175°

C.185°

D.355°

Question 32

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

A.12

B.14

C.16

D.18

Question 33

Convert 84 to a base five numeral.

A.3014five

B.313five

C.114five

D.223five

Question 34

In the diagrams below, triangle A1B1C1 is an enlargement of triangle ABC. Determine the scale factor.

A.0.50

B.0.75

C.2.00

D.4.00

Question 35

Find the least number that must be added to 308 to make it divisible by 19.

A.4

B.7

C.15

D.18

Question 36

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

A.620

B.545

C.470

D.395

Question 37

Which of the following fractions is equivalent to 35/7?

A.21/30

B.12/20

C.15/45

D.6/15

Question 38

In the diagram below, line PQ is parallel to RS and UV is a line drawn through PQ and RS. Use the diagram to answer the question below. Find angle a.

A.35°

B.55°

C.135°

D.145°

Question 39

Angle b and angle c are:

A.alternate angles.

B.vertically opposite angles.

C.corresponding angles.

D.interior opposite angles.

Question 40

Expand

- x (3-2 x)

A.-3x + 2x²

B.3x - 2x²

C.-2x² - 3x

D.2x² + 3x

OBJECTIVE TEST

Objective Test

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40