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Paper 2

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MATHEMATICS (SYLLABUS D)

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level

4024/22
May/June 2012
2 hours 30 minutes

Candidates answer on the Question Paper.
Additional Materials:

Geometrical instruments
Electronic calculator

READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use a pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Section A
Answer all questions.
Section B
Answer any four questions.
If working is needed for any question it must be shown in the space below that question.
Omission of essential working will result in loss of marks.
You are expected to use an electronic calculator to evaluate explicit numerical expressions.
If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place.
For π, use either your calculator value or 3.142, unless the question requires the answer in terms of π.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total of the marks for this paper is 100.
For Examiner’s Use

This document consists of 19 printed pages and 1 blank page.
DC (NF/SW) 49519/4
© UCLES 2012

[Turn over

2
Section A [52 marks]

Do not write in this margin Answer all questions in this section.
1
y
8
7
6
5
4
3
2
R
1
0

1

2

3

4

5

6

7

8 x

The diagram shows a shaded region R.
(a) Write down the name of the shaded polygon.
Answer ........................................ [1]
(b) Three of the inequalities that define the region R are x ജ 0, y ജ 0 and y ഛ x + 2.
Write down the

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