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MATH (SYLLABUS D)

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UNIVERSITY OR COLLEGE OF CAMBRIDGE INTERNATIONAL ASSESSMENTS

General License of Education Ordinary Level

4024/22

May/June 2012

two hours 30 minutes

Individuals answer around the Question Daily news.

Additional Materials:

Geometrical instruments

Electronic calculator

READ THESE TYPES OF INSTRUCTIONS FIRST

Write your Centre quantity, candidate amount and identity on all of the checking you turn in. Write in dark green or black pen.

You could use a pad for any layouts or charts.

Do not work with staples, paper clips, highlighters, glue or correction fluid. DO NOT COMPOSE IN ANY BAR CODES.

Section A

Answer your concerns.

Section W

Answer any four concerns.

If operating is needed for just about any question it must be shown in the space listed below that issue. Omission of essential doing work will result in lack of marks.

You are expected to work with an electronic calculator to evaluate precise numerical expressions. If the level of accuracy is usually not specific in the problem, and if the answer is not actual, give the answer to three significant figures. Provide answers in degrees to a single decimal place. For ПЂ, use possibly your calculator value or perhaps 3. 142, unless problem requires the response in terms of ПЂ. The number of represents is given in brackets [ ] at the conclusion of each query or part question. The entire of the markings for this conventional paper is 75.

For Examiner's Use

This document includes 19 printed pages and 1 blank page. DC (NF/SW) 49519/4

В© UCLES 2012

[Turn more than

2

Section A [52 marks]

Tend not to

write through this

margin

Solution all questions in this section.

one particular

y

almost eight

7

6th

5

5

3

two

R

one particular

0

you

2

3

4

your five

6

7

8 times

The picture shows a shaded region R.

(a) Write down the name of the shaded polygon.

Answer........................................ [1]

(b) Three of the inequalities that define areas R will be x аґњ 0, y аґњ 0 and con аґ› back button + 2 . Write down the other two inequalities comprise this region.

Answer..............................................

........................................ [2]

(c) On the diagram attract the line that may be parallel to y sama dengan x + 2 and passes throughout the point (5, 0).

[1]

(d) Find the lean of the series that is verticle with respect to con = x + installment payments on your

Answer........................................ [1]

В© UCLES 2012

4024/22/M/J/12

3

two

(a) Solve the formula

7x + 1 by

вЂ“ sama dengan 1 .

a couple of

4

Do not

write from this

margin

Response x =.................................. [2]

(b) Solve the equation y2 вЂ“ 81 = zero.

Answer y =.............. or.............. [1]

(c)

h

The size of the base of a parallelogram is definitely 6 cm more than their perpendicular elevation, h cm. The area of the parallelogram is definitely 33. 25 cm2.

(i) Show that h fulfills the formula 4h2 + 24h вЂ“ 133 sama dengan 0.

[2]

(ii) Fix the formula 4h2 & 24h вЂ“ 133 sama dengan 0.

Response h sama dengan.............. or.............. [3]

(iii) Discover the length of the camp of the parallelogram.

Answer................................. cm [1]

В© UCLES 2012

4024/22/M/J/12

[Turn above

4

a few

Simon strolls from his house to Juan's residence.

He stays there for a short while before they walk with each other to the cinema. The chart represents the journey coming from Simon's property to the movie theater.

Do not

create in this

margin

cinema 4

3

Distance

(km)

a couple of

1

Simon's house 0

16 00

17 00

18 00

19 00

Time of day

20 00

twenty one 00

twenty-two 00

(a) For just how many mins does Claire stay in Juan's house?

Answer......................... moments [1]

(b) At what speed will Simon walk to Juan's house?

Answer............................. km / h [1]

(c) Bob has a 15% discount voucher for his cinema ticket but Juan pays the full price. Claire pays $4. 42 for his solution.

How much really does Juan pay out?

Answer bucks...................................... [2]

(d) They stay at the movie theater for 2 hours before both walk home at a few km as well as h. Total the chart to show...

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