Question 1

Which of the following is a finite set?

A. {2,4,6,8,...}
B. {1,2,3,4,...}
C. {...,2,3,5,7}
D. {3,6,9,12}

Question 2

Given that M={a,b,c} find the number of subsets of M.

A. 3
B. 4
C. 6
D. 8

Question 3

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

A. {2,3,4}
B. {7,9,10}
C. {2,3,4,6,8}
D. {1,2,3,4,6,8}

Question 4

A boy bought 3 pairs of socks at GH₵17.50 per pair and paid with two GH₵50.00 notes. How much change was he given?

A. GH₵27.50
B. GH₵37.50
C. GH₵47.50
D. GH₵48.50

Question 5

Find the Least Common Multiple (LCM) of the numbers 5, 10, and 12.

A. 2 x 3 x 5
B. 2 x 32 x 5
C. 22 x 3 x 5
D. 22 x 32 x 52

Question 6

Correct 48,947.2547 to the nearest hundred.

A. 490
B. 48,900
C. 48,950
D. 49,000

Question 7

Simplify: 16 + 5.6 + 0.681

A. 22.281
B. 2.2281
C. 222.81
D. 2228.1

Question 8

Evaluate \( \frac{4}{5} - \frac{1}{3} +\frac{2}{9} \)

A. \(\frac{5}{11} \)
B. \(\frac{11}{45} \)
C. \(\frac{31}{45} \)
D. \(\frac{41}{45} \)

Question 9

Arrange the following integers from the least to the highest: -4, 9, -10, -7, and 2.

A. -10, -7, -4, 2, 9
B. -10, -7, -4, 2, 9
C. -7, -4, -10, 2, 9
D. 2, -4, -7, 9, -10

Question 10

Simplify: (46 x 102) + (102 x 54)

A. 10,200
B. 10,200
C. 102,000
D. 1,020,000

Question 11

Correct 5178.3426 to two decimal places.

A. 5178.00
B. 5178.30
C. 5178.34
D. 5178.35

Question 12

Find the simple interest on GH₵120,000.00 for 5 months at 12% per annum.

A. GH₵6,000.00
B. GH₵7,200.00
C. GH₵50,000.00
D. GH₵72,000.00

Question 13

Fifteen boys took 12 hours to weed a plot of land. If nine boys work at the same rate, how long will it take them to weed the plot of land?

A. 6 hours
B. \( 7\frac{1}{2} \) hours
C. \( 11\frac{1}{2} \)
D. 20 hours

Question 14

A car costs GH₵12,500.00. A discount of 9% is given for cash payment. Find the cost of the car when payment is made by cash.

A. GH₵11,375.00
B. GH₵11,250.00
C. GH₵10,250.00
D. GH₵13,625.00

Question 15

Simplify: 5² x 2² x 5² x 2

A. 2² x 5²
B. 2² x 5⁴
C. 2³ x 5²
D. 2³ x 5⁴

Question 16

The table shows the marks of some students in a test. Use the information to answer the question below.

Marks	0	1	2	3	4	5	6	7	8	9	10
Number of Students	3	4	5	4	5	4	7	3	4	2	2

What is the modal mark?

A. 2
B. 5
C. 6
D. 10

Question 17

How many students failed the test, if the pass mark was 4?

A. 6
B. 4
C. 16
D. 21

Question 18

What is the probability of obtaining 4 when a fair die is tossed once?

A. \(\frac{1}{6} \)
B. \(\frac{1}{2} \)
C. \(\frac{2}{3} \)
D. \(\frac{5}{6} \)

Question 19

Make P the subject of the relation, \( R =\frac{(P+Q)}{2} \)

A. P = √R - Q
B. P = √R - Q
C. P = √R + Q
D. P = √R + Q

Question 20

Given that t = p² + 1, find p when t = 10.

A. 3
B. 4.5
C. 11.0
D. 81

Question 21

Simplify: 4(x + 2) - 3(x + 1).

A. x + 5
B. x + 11
C. 7x + 5
D. 7x + 11

Question 22

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

A. 5
B. 7
C. 14
D. 16

Question 23

Solve the inequality \( 2x + 10 ≥ \frac{7x}{2} - 5. \)

A. x ≥ 10
B. x ≤ 10
C. x ≤ 40
D. x ≥ 40

Question 24

Find the image of 5 under the mapping x → 4x - 7.

A. 3
B. 13
C. 20
D. 27

Question 25

An angle which is greater than 180° but less than 360° is:

A. a right angle.
B. an acute angle.
C. an obtuse angle.
D. a reflex angle.

Question 26

How many lines of symmetry has a rectangle?

A. 1
B. 2
C. 3
D. 4

Question 27

The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sides is 14 cm long.

A. 11 cm
B. 14 cm
C. 17 cm
D. 31 cm

Question 28

Find the area of a circle whose diameter is 7 cm. [\(\text{Take } \pi = \frac{22}{7}\)]

A. 11 cm²
B. 38.12 cm²
C. 44.12 cm²
D. 54 cm²

Question 29

The mean of three numbers is 12. If two of the numbers are 14 and 16, find the third number.

A. 6
B. 12
C. 30
D. 36

Question 30

The sum of the interior angles of a regular polygon is 540°. Find the number of sides of the polygon.

A. 7
B. 6
C. 5
D. 4

Question 31

The figure QPR is an equilateral triangle. If angle PRS = (2x - 10)°, find the value of x.

A. 55
B. 65
C. 85
D. 95

Question 32

The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8 cm, find its breadth.

A. 2 cm
B. 3 cm
C. 5 cm
D. 6 cm

Question 33

In an enlargement, XY → X₁Y₁. If |XY| = 24 cm and |X₁Y₁| = 8 cm, calculate the scale factor of the enlargement.

A. \(\frac{1}{32} \)
B. \(\frac{1}{24} \)
C. \(\frac{1}{8} \)
D. \(\frac{1}{3} \)

Question 34

Study the triangle of odd numbers and use it to answer the question below.

13   b   c   19

   7   9   a

     3   5

         1

Evaluate: 13 + b + c + 19.

A. 62
B. 64
C. 74
D. 76

Question 35

Evaluate: a + b + c

A. 24
B. 29
C. 36
D. 43

Question 36

Simplify \(\begin{pmatrix} -3 \\ 5 \end{pmatrix}\) + \(\begin{pmatrix} 2 \\ -7 \end{pmatrix}\)

A. \(\begin{pmatrix} -1 \\ 2 \end{pmatrix}\)
B. \(\begin{pmatrix} -5 \\ 12 \end{pmatrix}\)
C. \(\begin{pmatrix} -1 \\ -2 \end{pmatrix}\)
D. \(\begin{pmatrix} -5 \\ -12 \end{pmatrix}\)

Question 37

The bearing of X from Y is 196°. What is the bearing of Y from X?

A. 16°
B. 74°
C. 106°
D. 244°

Question 38

If a = -4 and b = 3, evaluate \( \frac{3a + b}{ab} \).

A. \(\frac{3}{2} \)
B. 1
C. \(\frac{1}{2} \)
D. \( -\frac{3}{2} \)

Question 39

The point P(-3,7) is reflected in the x-axis. Find its image.

A. (-3,-7)
B. (-3,7)
C. (-7,3)
D. (3,-7)

Question 40

The instrument used to measure the angle between two lines that meet at a point is known as a:

A. pair of compasses.
B. set-square.
C. protractor.
D. pair of dividers.