Mathematics 2011

Objective Test

Question 1

Which of the following is the set of prime factors of 12?

A.{2, 3}

B.{1, 2, 3}

C.{1, 2, 4, 6}

D.{2, 3, 4, 6}

Question 2

Expand 3a(a – 4b)

A.3a – 12ab

B.3a² – 12ab

C.3a² – 12b

D.3a² – 12a

Question 3

Express 5 as a percentage of 4.

A.125%

B.120%

C.25%

D.20%

Question 4

Express 2700 as a product of prime numbers.

A.2² × 3² × 5²

B.2 × 3³ × 5²

C.2² × 3³ × 5²

D.2 × 3² × 5³

Question 5

The ratio of mangoes to oranges in a basket is 3:2. If there are 36 mangoes, how many oranges are in the basket?

A.90

B.60

C.24

D.12

Question 6

Express 0.125 as a fraction in its lowest form.

A.1/8

B.1/9

C.1/12

D.1/16

Question 7

Convert 2225 to a number in base ten.

A.30

B.52

C.60

D.62

Question 8

If A = {18, 19, 20} and B = {15, 16, 17}, find A∩B.

A.{15, 16, 17, 18, 19, 20}

B.{15, 16, 18, 19}

C.{18, 19}

D.{}

Question 9

Simplify 39 ÷ 33

A.32/7

B.31/2

C.36

D.33

Question 10

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

A.10%

B.28%

C.40%

D.70%

Question 11

Factorize completely b2 + fb – mb – fm.

A.(b – f)(b – m)

B.(b + f)(b – m)

C.(b + f)(m – b)

D.(b + f)(m + b)

Question 12

Simplify: -13 – (-3) + (-10).

A.-26

B.-20

C.-10

D.-6

Question 13

Find the HCF of 3³ × 5² and 3² × 5⁴.

A.3² × 5²

B.3³ × 5²

C.3² × 5⁴

D.3⁵ × 5⁶

Question 14

State the rule for the mapping x 1 2 3 4 ↓ ↓ ↓ ↓ ↓ y 15 30 46 60

A.x → 15x

B.x → 15 + x

C.x → 15x

D.x → 10 + 5x

Question 15

Solve the inequality x - 13 ≥ 23 - x.

A.x ≤ 12

B.x ≤ 23

C.x ≥ 12

D.x ≥ 23

Question 16

Find the area of a square, if its perimeter is 28 cm.

A.784 cm²

B.196 cm²

C.49 cm²

D.14 cm²

Question 17

Simplify: 13(12−13)−13(13−12)

A.-19

B.-118

C.118

D.19

Question 18

Make n the subject of the relation θ = 180 - 360n

A.θ + 180/360

B.θ - 180/360

C.360/180 - θ

D.360/180 + θ

Question 19

If R = h² + d²/8h, find R when d = 8 and h = 6.

A.316

B.413

C.434

D.4916

Question 20

Eight copies of a book cost GH₵ 16.00. Find the cost of 5 copies.

A.GH₵ 2.00

B.GH₵ 3.20

C.GH₵ 5.00

D.GH₵ 10.00

Question 21

Solve the equation 15(2 + y) = 12(y - 1).

A.-3

B.-34

C.53

D.3

Question 22

The gradient of the straight line that passes through points A(3, 2) and B(4, 8) is

A.-16

B.-12

C.2

D.6

Question 23

A car is travelling at 60 km per hour. How far does it travel in 2 1/2 hours?

A.30 km

B.60 km

C.120 km

D.150 km

Question 24

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

A.38°

B.52°

C.58°

D.64°

Question 25

Given that a = (5²n) and b = (2n - 16). If a = b, find the value of n.

A.6

B.3

C.2

D.1

Question 26

Find the volume of a cube of side 5 cm.

A.10 cm³

B.15 cm³

C.25 cm³

D.125 cm³

Question 27

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

A.130°

B.115°

C.65°

D.60°

Question 28

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GH₵ 9.00, how much did they share?

A.GH₵ 16.20

B.GH₵ 36.00

C.GH₵ 45.00

D.GH₵ 81.00

Question 29

The area of the trapezium above is

A.120 cm²

B.180 cm²

C.256 cm²

D.360 cm²

Question 30

If r = (2 - 5) and s = (-25), calculate 2r - 3s.

A.(-10 - 25)

B.(-2 - 25)

C.(10 - 25)

D.(10 + 25)

Question 31

There are 10 red and 15 green balls in a bag. Find the probability of selecting at random a red ball from the bag.

A.3/5

B.2/5

C.1/10

D.1/5

Question 32

The table below gives the distribution of ages of students in a class. Use it to answer the question below. Ages (years) 13 14 15 16 17 Number of students 3 10 6 7 4 How many students are in the class?

A.30

B.45

C.20

D.75

Question 33

The table below gives the distribution of ages of students in a class. Use it to answer the question below. Ages (years) 13 14 15 16 17 Number of students 3 10 6 7 4 What is the modal age?

A.14

B.15

C.16

D.17

Question 34

The table below gives the distribution of ages of students in a class. Use it to answer the question below. Ages (years) 13 14 15 16 17 Number of students 3 10 6 7 4 If a student is selected at random from the class, what is the probability that the student is 15 years old?

A.1/5

B.1/3

C.1/2

D.2/3

Question 35

A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?

A.46

B.4.60

C.0.46

D.460

Question 36

A refrigerator was sold for GH₵ 200.00 at a loss of 10%. Find the cost price.

A.GH₵ 222.22

B.GH₵ 220.00

C.GH₵ 190.48

D.GH₵ 180.00

Question 37

The diagram above is the net of a

A.cone

B.cuboid

C.rectangular prism

D.pyramid

Question 38

What is the value of 7 in the number 832713?

A.Seven thousand

B.Seven hundred

C.Seventy

D.Seven

Question 39

Write 3560 in standard form.

A.3.56 x 10³

B.3.56 x 10⁴

C.3.56 x 10⁻³

D.3.56 x 10⁻⁴

Question 40

Correct 0.02751 to three decimal places.

A.0.027

B.0.028

C.0.03

D.0.28

OBJECTIVE TEST