Mathematics 2013

Objective Test

Question 1

If A = {5,10,15,20,25,125} and B = {5,10,15,20,25,625}, list the elements of A ∪ B

A.{5,25}

B.{10,20,125,625}

C.{5,15,25,125,625}

D.{5,10,15,20,25,125,625}

Question 2

Express 1.25 as a percentage.

A.25%

B.75%

C.125%

D.175%

Question 3

Arrange the following in ascending order of magnitude: 0.301,0.3,0.33,0.03.

A.0.03,0.3,0.301,0.33

B.0.03,0.301,0.3,0.33

C.0.33,0.3,0.301,0.03

D.0.33,0.301,0.3,0.03

Question 4

Evaluate 53 - (-7) + (-15).

A.31

B.45

C.61

D.75

Question 5

Given that A = {a, e, i, o, u} and B = {r, s, t}, how many elements are in A∩B?

A.0

B.1

C.2

D.3

Question 6

Convert 2114five to a base ten numeral.

A.194

B.280

C.284

D.300

Question 7

Simplify

\frac{2 ^{2} \times 3 ^{2}}{4 ^{2} \times 3 ^{3}}

\frac{1}{12}

\frac{1}{6}

\frac{1}{4}

\frac{1}{3}

Question 8

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

Question 9

Simplify

\frac{36 a ^{3} b ^{2} x}{2 a b ^{3} y}

\frac{4 a ^{2} x}{3 b y}

\frac{4 ab x}{3 y}

\frac{4 a ^{2} b x}{3 y}

\frac{4 a ^{4} b ^{5} x}{3 y}

Question 10

Find the rule of the mapping: 1 2 3 4 5 x ↓ ↓ ↓ ↓ ↓ ↓ 5 8 11 14 17 y

A.x + 2

B.x + 4

C.2x + 3

D.3x + 2

Question 11

Given that –1 = 2 – m, find m

A.-3

B.-1

C.1

D.3

Question 12

The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width.

A.24 cm

B.20 cm

C.10 cm

D.3.4 cm

Question 13

Make d the subject of the relation n = 2d + 3

d = \frac{3 n}{2}

d = \frac{n + 3}{2}

d = \frac{n - 3}{2}

d = \frac{3 - n}{2}

Question 14

Calculate the gradient of the straight line joining the points A(3,5) and B(–2,3).

\frac{5}{2}

\frac{2}{5}

- \frac{2}{5}

- \frac{5}{2}

Question 15

Use the diagram below to answer the question below. Find the angle marked a.

A.70°

B.50°

C.40°

D.30°

Question 16

Find the angle marked b.

A.150°

B.140°

C.110°

D.100°

Question 17

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

\frac{3}{8}

\frac{1}{4}

\frac{1}{2}

\frac{5}{8}

Question 18

Find the vector which translates the point (4, –5) to (3, –2)

A.(-1, 3)

B.(-1, 3)

C.(-1, 7)

D.(7, -3)

Question 19

Factorize completely the expression 2xy – 6y + 7x – 21

A.(x – 3)(2y + 7)

B.(x + 3)(2y – 7)

C.(y – 3)(2x + 7)

D.(y + 3)(2x – 7)

Question 20

The area of a circle is 154 cm². Find the diameter. (Take π =

\frac{22}{7}

)

A.7 cm

B.14 cm

C.21 cm

D.49 cm

Question 21

Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometers does she cover everyday?

A.4.98 km

B.4.69 km

C.3.96 km

D.3.68 km

Question 22

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

Question 23

Evaluate 20a - b, if a = 30 and b = 1.

A.-123

B.-13

C.13

D.123

Question 24

How many 15Gp Christmas cards can be bought with GH₵18.00?

A.120

B.150

C.180

D.270

Question 25

If u = (6,9) and v = (4, -5), find u + v.

A.(-22)

B.(2, -4)

C.(10, -14)

D.(10, 4)

Question 26

If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.

1.239 \times 1 0^{2}

1.239 \times 1 0^{3}

1.239 \times 1 0^{4}

1.239 \times 1 0^{5}

Question 27

Which of the following expressions is illustrated on the number line?

A.x ≤ -2

B.x < -2

C.x ≥ -2

D.x > -2

Question 28

If 180 oranges were shared among Kwame and Ama in the ratio 7:5, respectively, how many oranges did Ama receive?

A.45

B.60

C.75

D.90

Question 29

Calculate the simple interest on GH₵450.00 for 2 years at 12% per annum.

A.GH₵ 191.00

B.GH₵ 108.00

C.GH₵ 54.00

D.GH₵ 27.00

Question 30

If 15% of the length of a rope is 75 cm, find half of the length of the rope.

A.500 cm

B.250 cm

C.150 cm

D.100 cm

Question 31

In an office,

\frac{2}{3}

of the telephone bill is paid by Tom,

\frac{1}{5}

by Azuma and the remaining by Tina. What fraction is paid by Tina?

\frac{2}{15}

\frac{1}{4}

\frac{1}{3}

\frac{7}{15}

Question 32

Which of the following best describes the construction?

A.Constructing a perpendicular at P

B.Constructing the bisector of line PQ

C.Constructing an angle of 30° at P

D.Constructing an angle of 45° at P

Question 33

Express 0.055 as a common fraction.

\frac{11}{200}

\frac{5}{18}

\frac{1}{40}

\frac{11}{200}

Question 34

The table below shows the distribution of workers in some trades. Which trade employed the most number of workers?

A.Agriculture

B.Manufacturing

C.Shoe making

D.Road transport

Question 35

How many people are employed under all the trades?

A.650,000

B.485,000

C.875,000

D.325,000

Question 36

Aba bought a carton of fish at GH₵80.00 and sold it at a profit of GH₵13.60. Find the selling price.

A.GH₵93.60

B.GH₵66.40

C.GH₵103.60

D.GH₵144.00

Question 37

If the two figures ABCD and PQRS are similar, find the value of b.

A.60 cm

B.40 cm

C.33 cm

D.30 cm

Question 38

A man shared an amount of money between his two children, Esi and Ato in the ratio 2:3 respectively. If Ato received GH₵45.00, what was the total amount shared?

A.GH₵75.00

B.GH₵112.50

C.GH₵18.00

D.GH₵27.50

Question 39

How many edges has a cuboid?

A.12

B.16

C.8

D.4

Question 40

Two sets whose intersection is an empty set are

A.disjoint sets.

B.equivalent sets.

C.finite sets.

D.empty sets.

OBJECTIVE TEST