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 u a pencil for any diagrams or graphs.
Do not u staples, paper clips, highlighters, glue or correction fl uid.DO NOT WRITE IN ANY BARCODES.
Answer all questions.
If working is needed for any question it must be shown below that question.Electronic calculators should be ud.If the degree of accuracy is not speci fi ed in the question, and if the answer is not exact, give the answer to three signi fi cant fi gures. Give answers in degrees to one decimal place.For π, u either your calculator value or 3.142.
At the end of the examination, fasten all your work curely together.
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 130.
MATHEMATICS
0580/43
Paper 4 (Extended)
May/June 2013
2 hours 30 minutes
Candidates answer on the Question Paper.Additional Materials:
Electronic calculator Geometrical instruments
Tracing paper (optional)
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certi fi cate of Secondary Education
This document consists of 19 printed pages and 1
小孩脑筋急转弯
leaf复数形式blank page.
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IB13 06_0580_43/5RP © UCLES 2013
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0580/43/M/J/13
© UCLES 2013For
Examiner ′s U
武汉夜生活论坛1 (a) A li and Ben receive a sum of money. T hey share it in the ratio 5 : 1. A li receives $2345.
C alculate the total amount. Answer(a) $ (2)
(b) A li us 11% of his $2345 to buy a television.
C alculate the cost of the television. Answer(b) $ (2)
(c) A different television costs $330.
(i) B en buys one in a sale when this cost is reduced by 15%.
H ow much does Ben pay? Answer(c)(i) $ (2)
(ii) $330 is 12% less than the cost last year.
C alculate the cost last year. Answer(c)(ii) $ (3)
泸沽湖旅游攻略自由行
0580/43/M/J/13
careful的比较级和最高级© UCLES 2013[Turn over
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(d) Ali invests $1500 of his share in a bank account.
The account pays compound interest at a rate of 2.3% per year.
Calculate the total amount in the account at the end of 3 years.
Answer(d) $ (3)
(e) Ali also buys a computer for $325.
He later lls this computer for $250.
Calculate Ali’s percentage loss.
Answer(e) ........................................... % [3]_____________________________________________________________________________________
焚林0580/43/M/J/13
© UCLES 2013
For Examiner ′s U
2
(a) I n this question show all your construction arcs and u only a ruler and compass to draw
the boundaries of your region.
考试标语T his scale drawing shows the positions of four towns, P , Q , R and S , on a map where 1 cm reprents 10 km.
S
Scale: 1 cm to 10 km
A nature rerve lies in the quadrilateral PQRS . The boundaries of the nature rerve are:
● equidistant from Q and from R ● equidistant from PS and from PQ ● 60 km from R ● along QR .
(i) S hade the region which reprents the nature rerve. [7]
(ii) M easure the bearing of S from P .
Answer(a)(ii) (1)
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(b) A circular lake in the nature rerve has a radius of 45 m.
(i) Calculate the area of the lake.
Answer(b)(i) .......................................... m 2 [2]
(ii)
NOT TO SCALE
A fence is placed along part of the circumference of the lake. This arc subtends an angle of 210° at the centre of the circle.
Calculate the length of the fence.
做水果沙拉
Answer(b)(ii) ........................................... m [2] _____________________________________________________________________________________
