Question 1

If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).

A. 3
B. 5
C. 10
D. 15

Question 2

If P = {4, 8, 12, 16, 20}, Q = {16, 4, 12, k, 20} and P = Q, find the value of k.

A. 20
B. 16
C. 8
D. 4

Question 3

Express 7352.4658 correct to three significant figures.

A. 7352465.8
B. 7352.47
C. 7350
D. 735

Question 4

Find the difference between the values of (2d)² and 2d², when d = 3.

A. 0
B. 18
C. 24
D. 54

Question 5

Find the image of p(-3, 5) when rotated through 360º about the origin.

A. (5, -3)
B. (-3, -5)
C. (-3, 5)
D. (-5, -3)

Question 6

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

A. \( \begin{pmatrix} 14 \\ 2 \end{pmatrix} \)
B. \( \begin{pmatrix} 6 \\ -8 \end{pmatrix} \)
C. \( \begin{pmatrix} -6 \\ 8 \end{pmatrix} \)
D. \( \begin{pmatrix} 6 \\ 8 \end{pmatrix} \)

Question 7

Find the next two terms of the sequence: 2, 5, 10, 17, ....., ......

A. 24, 35
B. 26, 35
C. 26, 37
D. 27, 38

Question 8

Express 134.78 correct to the nearest tenth

A. 130.0
B. 134.7
C. 134.8
D. 135.0

Question 9

Kofi and Ama shared an amount of GH₵ 3,000.00 in the ratio 2:3. Find the amount received by Kofi.

A. GH₵ 1,000.00
B. GH₵ 1,200.00
C. GH₵ 1,500.00
D. GH₵ 1,800.00

Question 10

If 2x – 1 = 5, find the value of x.

A. 3
B. 4
C. 5
D. 6

Question 11

Solve: (1-x)÷3 < 4.

A. x < -11
B. x > -11
C. x < 11
D. x > 11

Question 12

The area of a rectangle is 18 cm². If one of its sides is 2 cm long, find its perimeter.

A. 18 cm
B. 20 cm
C. 22 cm
D. 36 cm

Question 13

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?

A. \( \frac{5}{7} \)
B. \( \frac{5}{12} \)
C. \( \frac{7}{12} \)
D. \( \frac{1}{6} \)

Question 14

On a map, \( \frac{1}{3} \) cm represents 5 km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?

A. 27 km
B. 30 km
C. 240 km
D. 270 km

Question 15

What is the rule for the above mapping?

A. y = x + 4
B. y = 3x + 2
C. y = 4x + 1
D. y = 5x + 1

Question 16

Find x when y = 37 for the above mapping

A. 6
B. 7
C. 8
D. 9

Question 17

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

Question 18

In the diagram, line AB is parallel to line PD. Find the value of x.

A. 20º
B. 80º
C. 100º
D. 120º

Question 19

Make h the subject of the relation \( V = \pi r^2 h \) .

A. \( h = \frac{V}{\pi r^2} \)
B. \( h = \sqrt{\pi r^2} \)
C. \( h = \frac{\pi r^2}{V} \)
D. \( h = (\pi r^2)^2 \)

Question 20

Find the simple interest on GH₵ 600.00 which was saved for 8 months at 5% per annum.

A. GH₵ 20.00
B. GH₵ 40.00
C. GH₵ 45.00
D. GH₵ 240.00

Question 21

Priscila's age is k years while Mary's age is b years. If Mary is 15 years older than Priscila, which of the following statements is correct?

A. 2k + b = 15
B. b - k = 15
C. k - b = 15
D. 2b + k = 15

Question 22

What is the Highest Common Factor (HCF) of 24, 32, and 64?

A. 4
B. 6
C. 8
D. 16

Question 23

Factorize: 3ax + 6a - x - 2

A. (3a+1)(x+2)
B. (3a+1)(x-2)
C. 3a(x-2)
D. (3a-1)(x+2)

Question 24

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

A. 7 hours 33 minutes
B. 7 hours 53 minutes
C. 8 hours 13 minutes
D. 8 hours 20 minutes

Question 25

Simplify \( 3y-\frac{(2y-3)}{4} \)

A. 10y + 3
B. 10y - 3
C. \( \frac{(10y-3)}{4} \)
D. \( \frac{(10y+3)}{4} \)

Question 26

Divide 0.5445 by 0.09.

A. 5.05
B. 6.05
C. 6.50
D. 60.50

Question 27

If the median of the numbers 9,10,12,x, 20 and 25 is 14, find the value of x.

A. 14
B. 16
C. 18
D. 22

Question 28

Expand (7r - 5)(3r + 4).

A. 21r² + 13r - 20
B. 21r² - 13r - 20
C. 21r² - 43r - 20
D. 21r² + 43r - 20

Question 29

Find the gradient of the line that joins the points A(-3,5) and B(7,-2).

A. \( \frac{(10)}{7} \)
B. \( -\frac{(1)}{4} \)
C. \( -\frac{(7)}{10} \)
D. \( \frac{(12)}{5} \)

Question 30

The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.

A. 1.0 cm
B. 1.8 cm
C. 3.2 cm
D. 3.6 cm

Question 31

If the average of 5, 6, 7, and x is 8, find the value of x.

A. 12
B. 14
C. 16
D. 24

Question 32

An amount of GH₵ 375,000.00 was needed to build a clinic for a community of twelve towns. Each community contributed GH₵ 25,000.00. If the District Assembly also contributed GH₵ 30,500.00, how much more is needed to build the clinic?

A. GH₵ 44,500.00
B. GH₵ 45,500.00
C. GH₵ 35,500.00
D. GH₵ 75,000.00

Question 33

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)

A. Commutative
B. Associative
C. Closure
D. Distributive

Question 34

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

A. GH₵ 100(m - n)
B. GH₵ 100(m + n)
C. GH₵ 100(n - m)
D. GH₵ 100(nm)

Question 35

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?

A. 10
B. 11
C. 12
D. 13

Question 36

Given that x = 4, y = 7, evaluate 2xy + 3(x + y).

A. 79
B. 89
C. 99
D. 109

Question 37

Simplify \( 2 \left( -\frac{1}{2} \right)^2 + \left( -\frac{1}{2} \right) - 1 \)

A. -1
B. 0
C. 1
D. 2

Question 38

Given that x = 8, what type of angle is (9x + 8)º?

A. Straight angle
B. Obtuse angle
C. Acute angle
D. Right angle

Question 39

Express 0.725 as a fraction in its lowest term.

A. \( \frac{19}{40} \)
B. \( \frac{21}{40} \)
C. \( \frac{29}{40} \)
D. \( \frac{39}{40} \)

Question 40

Simplify 3(5a² + 2c) - 2a(1 - 3a) - 6c.

A. 21a² - 2a - 6c
B. 13a² - 2a - 12c
C. 13a² - 2a
D. 21a² - 2a