1.The sum of the interior angles of a polygon is 1260°. Find the number of sides.

A. 9

B. 6

C. 7

D. 8

2.A building is 12 m high. A football on the ground floor s 30 m away from the foot of the building.

Find, correct to the nearest degree, the angle of depression of the ball from the top of the building.

A. 22°

B. 68°

C. 66°

D. 24°

3.A number is chosen at random from the set {13, 14, ...., 30}. What is the probability that it is a prime number?

A. 5 /16

B. 1/3

C. 5/18

D. 3/8

4.Regina is 34 years old and her daughter is 5 years. In n years, Regina will be twice as old as her daughter. Find the value of n.

A. 23

B. 30

C. 29

D. 24

5.If P(-7, 8) is reflected in the line x - 2 = 0, find the coordinates of the image of P.

A. (5

      8)

B. (8

     -7)

C. (11

      -8)

D. (11

       8)

6.If the variable P is inversely proportional to Q² and P = 2.25 when Q = 6, find P when Q = 3.

A. 9.5

B. 7.5

C. 8.5

D. 9.0

7.Make x the subject of the relation y = √.px−r²x

                                                                         r

A. x = ry²

           p−r³

B. x = p−r³

            ry²

C. x = ry

         p−r³

D. x = ^y2

          p−^r2

8.Seven men complete a certain work schedule in 6 days. How long will it take two of the men to complete the same work schedule f they work at the same rate?

A. 42 days

B. 35 days

C. 21 days

D. 14 days

9.If cos y is negative and sin y is negative, in which quadrant would y lie?

A. First

B. Fourth

C. Third

D. Second

10.The volume of a cone s 264 cm³. If the base radius is 6 cm, find the height.

[Take π = 227]

A. 5 cm

B. 8 cm

C. 7 cm

D. 6 cm

11.Find the value of x for which 2x - 1        is not defined.

                                                        x²+2x + 1 

A. 1/2

B. 1

C. 2

D. -1

12.The range of a sample of 10 numbers is 5 and the largest value is 50. What is the least value?

A. 40

B. 60

C. 55

D. 45

13.The mean of ten numbers is 16. When another number, k, is added, the mean becomes 18.

Find the value of k.

A. 38

B. 32

C. 34

D. 36

14.The probability that John and James pass an examination are 34 and 35 respectively.

Find the probability that both will fail.

A. 110

B. 1120

C. 920

D. 310

15.The diagonals of a rhombus are 12 cm and 16 cm.

Find the perimeter.

A. 42 cm

B. 24 cm

C.  28 cm

D. 40 cm

16.  

In the diagram PQR is a circle with centre O and ∠ OQR = 42°.

Find ∠ QPR.

A. 42°

B. 48°

C. 54°

D. 56°

17.Solve: x(3x + 4) = 4.

A. x = 23 or x = - 2

B. x = -23 or x = 2

C. x = 23 or x = 2

D. x = -23 or x = - 2

18.If P = {-2, 0, 2, 4, 6} and Q = {-3, -1, 0, 2, 3, 5}, find the set P ∩ Q.

A. { }

B. {-3, -1, 3, 5}

C. {-2, 4, 6}

D. {0, 2}

19.An office equipment depreciates at 15% per annum. If the cost is GH₵ 1,200.00 when new, find the value after three years.

A. GH₵ 936.00

B. GH₵ 867.95

C.GH₵ 736.95

D. GH₵ 876.00

20.Solve: x - 24 - 2x - 43 = 56.

A. x = 0

B. x = 5

C. x = 4

D. x = 2

21.

Calculate the value of t in the diagram.

A. 35°

B. 175°

C. 75°

D. 40°

22.Given that 6 ⊗ 7 = y (modulo 8), find the value of y.

A. 2

B. 5

C. 4

D. 3

23.Express 0.0063075 correct to three significant figures.

A. 0.006

B. 0.0063

C. 0.00631

D. 0.0060

24.Given the statements p and q, the statement p ∨ q is false only if

A. p is false and q is true.

B. p is true and q is true.

C. p is false and q is false.

D. p is true and q is false.

25.

The table describes the relation y = mx + c where m and c are constants.

Use the information to answer the question below

What is the gradient of the equation of the line?

A. 12

B. -2

C. 2

D. 1

26.

The table describes the relation y = mx + c where m and c are constants.

Use the information to answer the question below

Find the equation of the line described in the table.

A. y = 2x

B. 2y = x + 2

C. y = x

D. y = x + 1

27.The second term of a Geometric Progression (G.P) is 9. If the fourth term is 81, find the common ratio.

A. 4

B. 1

C. 2

D. 3

28.

In the diagram, ∆PQR is similar to ∆PWY. WY||QR, |QR| = 15 cm, |WY| = 6 cm and |WP| = 4 cm.

Find |WQ|.

A. 6 cm

B. 12 cm

C. 10 cm

D. 8 cm

29.A cylindrical container closed at both ends has a radius of 3 cm and height of 4 cm.

What is the total surface area of the container?

[Take π = 227]

A. 103.7 cm²

B. 132.0 cm²

C. 125.7 cm²

D. 113.1 cm²

30.The diameter of a bicycle wheel is 21 cm. If the wheel makes 8 complete revolutions, what will be the total distance covered by the wheel?

[Take π = 227]

A. 132 cm

B. 1,386 cm

C. 1,056 cm

D. 528 cm

31.

Find the value of x in the diagram.

A. 16

B. 44

C. 36

D. 28

32.The interior angles of a triangle are (y + 10)°, (2y - 40)° and (3y - 90)°.

Which of the following accurately describes the triangle?

A. isosceles triangle

B. right-angled triangle

C. equilateral triangle

D. scalene triangle

33.Given that sin A = 35, 0° ≤ A ≤ 90°, find the value of (tan A - cos A)

A. -120

B. 720

C. -320

D. 120

34.Simplify: 3 log x + log y - 2 log z.

A. log (x³yz²)

B. log (3xy2z)

C. log (3xyz2)

D. log (x3yz2)

35.Simplify: a−1/4    x  a  1/2

                           a−1/2.

A. a^3/4

B. a−1/4

C. a−1/2

D. a1/2

36.The area of a square parcel of land is 256 m². A rectangular field of length 20 m has the same perimeter as the parcel of land.

Find the area of the field.

A. 144 m²

B. 400 m²

C. 320 m²

D. 240 m²

37.Mr. Abban invested $1,200.00 for 3 years at 5% per annum compound interest.

Find the interest earned at the end of three years.

A. $189.15

B. $1,389.15

C. $1,380.00

D. $180.00

38.

In the diagram PR is tangent to the circle at Q. The centre of the circle is O and ∠ QOS = 108°.

Use the information to answer the question below

Find ∠ OSQ.

A. 72°

B. 18°

C. 36°

D. 42°

39.

In the diagram PR is tangent to the circle at Q. The centre of the circle is O and ∠ QOS = 108°.

Use the information to answer the question below

Find ∠ SQR.

A. 36°

B. 72°

C. 54°

D.42°

40.Find the value of x that satisfies the equation: 23(x + 5) = 1 - x - 72.

A. 1

B. 4

C. 3

D. 2

41.A closed cuboid has length 12 cm, width 7 cm and height 5 cm. Calculate the total surface area.

A. 179 cm²

B. 420 cm²

C. 358 cm²

D. 210 cm²

42.Mr. Amuzu sold his car through an agent who charged 9% commission on the selling price.

If Amuzu received GH₵ 236,600.00 after the sale, find the selling price of the car.

A. GH₵ 238,400.00

B. GH₵ 248,000.00

C. GH₵ 260,000.00

D. GH₵ 273,000.00

43.

The diagram shows a triangle MNP inscribed in a circle. MQ is a tangent to the circle at M.

Find ∠ MPN.

A. 49°

B. 131°

C. 73°

D. 58°

44.In an examination taken by 120 students, 90 passed Mathematics, 40 passed Science and 5 failed both subjects.

Use the information to answer the question below

How many students passed Science only

A. 15

B. 75

C. 25

D. 20

45.In an examination taken by 120 students, 90 passed Mathematics, 40 passed Science and 5 failed both subjects.

Use the information to answer the question below

Find the probability that a student selected at random passed only one subject.

A. 16

B. 1924

C. 56

D. 724

46.

In the diagram, PR is a diameter of the circle PQS with centre O.

Find the value of ∠ PQS.

A. 37°

B. 90°

C. 55°

D. 45°

47.If P(-7, 8) is reflected in the line x - 2 = 0, find the coordinates of the image of P.

A. (5

      8)

B. (8

      -7)

C. (11

       -8)

D. (11

     8)

48.Find the product of 124_seven and 23_seven.

A. 3125_seven

B. 3215_seven

C. 3211_seven

D. 3115_seven

49.Given that m = 5, n = 3 and r = 2, evaluate (m2−n2)+r2m2+(n2−r2)

A. 13

B. 43

C. 1

D. 23

50. Three boys of ages 2, 4 and 10 shared 32 oranges in the ratio of their ages. What was the least share?

A. 4

B. 10

C. 8

D. 6