- Submitted By: tinkeeerbell
- Date Submitted: 12/08/2013 9:19 PM
- Category: Miscellaneous
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2007 Preliminary Half Yearly

MATHEMATICS

General Instructions Reading time – 5 minutes Working time – 1 hour and 30 minutes Write using black or blue pen Board-approved calculators may be used Write your name and your teacher’s name at the top of every page Start each question on a new page. Write on only one side of the paper Marks may be deducted for careless or illegible work. Show all necessary working -15 x 12 mark questions Attempt all questions

Question 1 (12 marks)

Start each new question on a new page. Write your name and your teacher’s name at the top of the page Marks a) b) c) Evaluate Express

3.142 2 0.858 2 correct to 3 significant figures.

2 1

5 as a recurring decimal. 110

Factorise completely: i) ii) x2 – 4x + 4 ab – 3bc + 4a – 12c 1

2

d)

Express

2 7 1

in simplest form with a rational denominator.

2

e)

Simplify:

a 3 a 9a

2

f)

Simplify:

x 144 x 12 x2 x3 8

2

2

-2-

Question 2 (12 marks)

Start each new question on a new page. Write your name and your teacher’s name at the top of the page Marks a) Solve the following i) ii)

x3 x7 2 5 2

3

5 2m 15

2

iii)

27 b3 9

2

b)

Solve and graph the following

3

2m 3 17

c)

Solve simultaneously

2

2 x 4 y 28 2 x 3 y 11

-3-

Question 3 (12 marks)

Start each new question on a new page. Write your name and your teacher’s name at the top of the page Question 3 a) Find the area of the following figure, given AB = AD = DC A B Not to scale Marks 2

D b) c)

6m

5m

C 1 1

Find the size of the exterior angle of a regular pentagon. In the diagram BC = AC, and ACD is a straight line. Find the size of BCD B

24

Not to scale

A C

D

Question 3 is continued on the next page

-4-

Question 3 continued d) B A 5m E D

15m C Not to scale

In the diagram above, AB is parallel to CD. BE = 5m and CE = 15m. i) ii) iii) Briefly explain...