[WASSCE BECE NOVDEC NABPTEX-0547316472]

1. Find the value of √(2⁷/₉)

2. The hypotenuse of a right – angled triangle

is 25m. If the height is 24m, find the length

of the base.

3. A cuboid has length 9 cm, width 5 cm and

height 3 cm. Calculate the total surface area

of the cuboid.

4. A typist charges Ghc 8.00 for the first 10

Sheets of words typed and Ghc 1.20 for any

additional sheet she types. Laurel presented

22 sheets of words. Calculate the total cost

of all 25 sheets.

5. Find one – hundredth of 556.80.

6. Given that r = (3, -5) and s = (-1, 4). Evaluate

3(2s – r)

7. What percentage of Ghc 4,000.00 is

Ghc 300.00?

8. If 3% of the length of a road is 90 km. What

is the full length of the road?

9. The point T(3, 5) is translated by the vector

(-5, 2). Find the image point.

10. Simplify 3⁻² ÷ 3⁻².

11. Find the truth set of 3/5x – 2 ≤ 1/2x.

12. How many lines of symmetry has a circle?

13. Which is not true about rectangles?

A rectangle has equal angles.

A rectangle has two diagonals.

The diagonals of a rectangle intersect each

other at 90°.

A rectangle is a polygon.

14. Find the sum of all prime numbers between

2 and 25.

15. What is the probability that an integer

selected from the set of integers

{20, 21, …., 30} is a prime number?

*Paper 2*

1(a)Using a scale of 2cm to 2 units on both

axes, draw two perpendicular axes Ox and

Oy on a graph sheet. [1 mark ]

(b) On the graph sheet, mark the x axes

from -10 to 10 and y axes from -12 to 12.

[ 1 mrk ]

(c) On the same graph sheet, plot the ordered

pairs indicating clearly the coordinates of

all vertices.

A(2, 2) B(6, 2) C(8, 8) and D(4, 8).

[ 3 mrks ]

(d) Draw the image A₁B₁C₁D₁ of ABCD under a

reflection in the y axes.

[3mks]

(e) Draw the image A₂B₂C₂D₂ of ABCD under a

rotation of 180° about the origin.

[3 mrks]

(f) Draw the image A₃B₃C₃D₃ of ABCD under

an enlargement with scale factor 1/2.

[ 4 mrks]

2. (a)Copy and complete the table below of

values for the relation y = 3 – 2x

x -4 -3 -2 -1 0 1 2 3

y 11 9 5

[ 6mrks ]

(b) using a scale of 2 cm to 1 unit on the x

axes and 2 cm to 2 units on the y axes,

draw two perpendicular axes Ox and Oy.

[2 mrks ]

(c) on the graph sheet, draw the graph of the

relation y = 3 – 2x. [ 7 mrks ]

3. The data below shows the marks obtained

By some students in a Mathematics test.

6 9 5 9 5 3

7 5 5 6 2 7

10 2 9 8 0 6

2 6 6 6 5 6

9 7 7 4 1 8

(a) Construct a frequent distribution table for

the data. { 6 marks}

(b) (i) state the mode for the distribution.

{2 mark}

(ii) If a student is chosen at random, what

is the probability that he had more

than 5 marks? { 2 marks}.

(c) Calculate the mean for the distribution.

{ 5 marks}.

4.(a) Factorize px – 2qx – 4qy + 2py.

{4 marks}

(b) Without using a calculator evaluate

57. 57² – 42.43². {4 marks}

(c) Four angles of a hexagon are 130°, 160°,

112° and 80°. If the remaining angles are

equal, find the size of each of them.

{7 marks}