Mathematics Green Book 2007 ZIMSEC Paper 2 Ordinary Level.

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ZIMSEC MATHEMATICS GREEN BOOK 2007
ORDINARY LEVEL
PAPER 2

INSTRUCTIONS TO CANDIDATES

- Answer all questions in the spaces provided.
- Show all your working and give your answers in the simplest form.
- You may use a calculator.

1. Simplify

(a) 3x(2x - 5) + 2x(x - 3)
(b) (x + 3)(x - 2) - (x - 1)(x + 2)

2. Factorise

(a) 2x^2 + 5x - 3
(b) x^3 - 8

3. Solve the simultaneous equations

x + y = 5
2x - y = 1

4. Find the area of a triangle whose base is 12 cm and height is 8 cm.

5. Find the volume of a cylinder whose radius is 5 cm and height is 10 cm.

6. Simplify

(a) (2x^2y)^3
(b) (x^-2)^-3

7. Solve the inequality and represent the solution on a number line

3x - 2 < 10

8. Find the equation of the line passing through the points (2, 3) and (-1, 5)

9. Find the gradient of the line joining the points (6, 2) and (2, 6).

10. Find the area of a circle whose radius is 7 cm.

[End of Paper]