IGCSE数学样题May-June 2010_2

IGCSE数学样题May-June 2010_2

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

0580/12

May/June 2010

1 hour

Electronic Calculator Geometrical Instruments

Mathematical tables (optional) Tracing paper (optional)

*7313041459*

MATHEMATICS Paper 1 (Core)

Candidates answer on the Question Paper. Additional Materials:

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.

Answer all questions.

If working is needed for any question it must be shown below that question. Electronic calculators should be used.

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.

At the end of the examination, fasten all your work securely 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 56.

This document consists of 12 printed pages.

IB10 06_0580_12/2RP

© UCLES 2010

[Turn over

IGCSE数学样题May-June 2010_2

157°NOT TO84°

x°

SCALE

Find the value of x.

[1]

Answer x =

2 (a) Write down the smallest number which is a multiple of both 8 and 12. [1]

Answer(a) (b) Write down all the other multiples of both 8 and 12 which are less than 100. [1]

Answer(b)

3 Factorise completely 6mp 9pq.

Answer

[2]

© UCLES 2010 0580/12/M/J/10 Use

IGCSE数学样题May-June 2010_2

The first glass contains litre. The second glass contains litre.

14

Use

25

What fraction of a litre does the third glass contain? Show all your working clearly. Answer

5 A plane from Hong Kong to New Zealand leaves at 18 10 on Monday. The time in New Zealand is 4 hours ahead of the time in Hong Kong. (a) Write down the time in New Zealand when the plane leaves Hong Kong. Answer(a)

(b) The plane arrives in New Zealand at 09 45 on Tuesday. How long, in hours and minutes, does the journey take? h Answer(b)

[2]

[1]

min [1]

© UCLES 2010 0580/12/M/J/10

[Turn over

IGCSE数学样题May-June 2010_2

The exchange rate was 1 Brazilian real = 4.76 South African Rand (R). How much did he receive?

Use

Answer R

[2]

7 Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in millimetres, the lower bound of his measurement.

Answer

mm [2]

8 Make p the subject of the formula m = p2 2.

Answer p =

[2]

© UCLES 2010 0580/12/M/J/10

IGCSE数学样题May-June 2010_2

(b) P from H.

Answer(b)

[1]

Use

The positions of Perth (P), Darwin (D) and Hobart (H) are shown on the diagram. Measure accurately any angles you need and write down the bearing of (a) D from P,

Answer(a)

[1]

10 When c = 10 and d = 2, find the value of the following expressions. (a) c + 2d Answer(a) (b) 5c2 cd Answer(b)

© UCLES 2010

0580/12/M/J/10

[1]

[2]

[Turn over

IGCSE数学样题May-June 2010_2

11 Fifteen children ran a 60 metre race. In the scatter diagram below, the time taken is plotted against the age for each child.

Time(seconds)

Age (years)

(a) Draw a line of best fit on the scatter diagram.

[1]

(b) What type of correlation does the scatter diagram show?

Answer(b)

[1]

(c) Describe how the times taken change with the ages of the children.

Answer (c)

[1]

© UCLES 2010

0580/12/M/J/10 Examiner's For Use

IGCSE数学样题May-June 2010_2

12 (a)

(b) Simplify

7-2

(i) p × p ,

(ii) m3 ÷ m7.

13 (a) Work out

14 Solve the simultaneous equations.

127

For Examiner's Use

= 3x .

Write down the value of x.

Answer(a) x =

[1]

Answer(b)(i)

[1]

Answer(b)(ii)

[1]

0.68+2.57×1.76

63

.

Write down all the figures from your calculator display.

Answer(a)

(b) Write your answer to part (a) in standard form correct to 3 significant figures.

Answer(b)

[1]

[2]

3x 2y = 15 2x + y = 17

Answer x =

y =

[3]

© UCLES 2010 0580/12/M/J/10

[Turn over

IGCSE数学样题May-June 2010_2

15 The diagram shows a prism. The lengths are in centimetres.

NOT TO

SCALE

Complete the net.

[3]

© UCLES 2010

0580/12/M/J/10

Examiner's For Use

IGCSE数学样题May-June 2010_2

16 Daniel invested $2500 for 2 years at 5.5% per year compound interest. Calculate how much interest he received. Answer $

For Examiner's Use

[3]

E

F

G

Write down the letter of the graph which is (a) y = x 2,

Answer(a)

(b) x = 2,

Answer(b)

(c) y = 2x + 4,

Answer(c)

(d) y = x2 4.

Answer(d)

[1]

[1]

[1]

[1]

© UCLES 2010

0580/12/M/J/10

[Turn over

IGCSE数学样题May-June 2010_2

18

(a) Describe fully the single transformation which maps flag A onto flag B. Answer(a) [2]

(b) Draw, on the grid above, the image of flag A after rotation through 90° clockwise about the

origin. [2]

© UCLES 2010

0580/12/M/J/10 Examiner's For Use

IGCSE数学样题May-June 2010_2

19 The diagram shows a door, AEBCD, from a model of a house. ABCD is a rectangle and AEB is a semi-circle. AD = 14 cm and DC = 6 cm.

E

For Examiner's Use

AB

NOT TOSCALE

14 cm

D

(b) The door is 2 millimetres thick.

(a) Calculate the area of the door.

6 cmC

Answer(a)

cm2

[3]

Calculate, in cubic centimetres, the volume of the door.

Answer(b)

cm3 [2]

Question 20 is printed on the next page.

[Turn over

© UCLES 2010 0580/12/M/J/10

IGCSE数学样题May-June 2010_2

20 A running track has a boundary that is always 40 metres from a straight line, AB. AB = 70 m. The scale drawing below shows the line AB. 1 centimetre represents 10 metres.

For Examiner's Use

(b) Calculate, in metres, the total length of the actual boundary. Answer(b)

(a) Complete the scale drawing accurately to show the boundary of the running track.

[2]

m [3]

Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.

University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

© UCLES 2010

0580/12/M/J/10

本文来源：https://www.bwwdw.com/article/r9g1.html