This document consists of 15 printed pages and 1 blank page.
DC (ST/FC) 130071/3© UCLES 2017
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Cambridge International Examinations
Cambridge International General Certificate of Secondary Education
*024*******
*
MATHEMATICS 0580/21
Paper 2 (Extended) May/June 2017
1 hour 30 minutes
Candidates answer on the Question Paper.Additional Materials: Electronic calculator Geometrical instruments
Tracing paper (optional)
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 an HB pencil for any diagrams or graphs.Do not u staples, paper clips, glue or correction fluid.DO NOT WRITE IN ANY BARCODES.滚动体
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 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 r , 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 70.
1 Simplify.
(x2)5
(1)
2 The thickness of one sheet of paper is 8 # 10-
3 cm.
Work out the thickness of 250 sheets of paper.
.
简称英文.......................................cm [1]
3 Write 23.4571 correct to
(a) 4 significant figures,
潮流英文 (1)
(b) the nearest 10.
(1)
4 The table shows the temperatures in five places at 10 am one day in January.
Place Temperature (°C)
Helsinki-7
Chicago-10
London3
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巴巴亚罗
Moscow-4
Bangkok26
(a) Which place was the coldest?
(1)
(b) At 2 pm the temperature in Helsinki had incread by 4 °C.
Write down the temperature in Helsinki at 2 pm.
.........................................°C [1]
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0580/21/M/J/17什么叫人际关系
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5 Factori completely.
12n 2 - 4mn
(2)
6 (a)
216
chocolat1
r = Find the value of r . r = (1)
(b) 33t 5=
Find the value of t .
t = (1)
7 Without using a calculator , work out 1327
5
+.
Write down all the steps of your working and give your answer as a mixed number in its simplest form.
(3)
8 Simon has two boxes of cards.
In one box, each card has one shape drawn on it that is either a triangle or a square.
In the other box, each card is coloured either red or blue.
Simon picks a card from each box at random.
The probability of picking a triangle card is t.
打电话英文
The probability of picking a red card is r.
Complete the table for the cards that Simon picks, writing each probability in terms of r and t.
Event Probability
Triangle and red
Square and red(1 -t) r
legendaryTriangle and blue
Square and blue
[3]
preferences9 h is directly proportional to the square root of p.
h= 5.4 when p= 1.44 .
Find h when p= 2.89 .
h = (3)
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0580/21/M/J/17
0580/21/M/J/17
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10
By shading the unwanted regions of the grid, find and label the region R that satisfies the following four inequalities.
y G 2 y H 1 y G 2x - 1 y G 5 - x [3]
11
The two barrels in the diagram are mathematically similar.
h
90 NOT TO
SCALE
The smaller barrel has a height of h cm and a capacity of 100 litres. The larger barrel has a height of 90 cm and a capacity of 160 litres. Work out the value of h .
h = (3)