IGCSE Mathematics 0580/22 Paper 2 (Extended) May/Jun 2020

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Cambridge IGCSE * 8 2 3 1 2 2 3 1 0 7 *MATHEMATICS0580/22May/June 2020Paper 2 (Extended)1 hour 30 minutesYou must answer on the question paper.You will need:Geometrical instrumentsINSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. Write your name, centre number and candidate number in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. Do not write on any bar codes. You should use a calculator where appropriate. You may use tracing paper. You must show all necessary working clearly. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles indegrees, unless a different level of accuracy is specified in the question. For r, use either your calculator value or 3.142.INFORMATION The total mark for this paper is 70. The number of marks for each question or part question is shown in brackets [ ].This document has 12 pages. Blank pages are indicated.DC (RW/FC) 186459/2 UCLES 2020[Turn over

21Write down the order of rotational symmetry of the diagram. [1]2At noon the temperature in Maseru was 21 C.At midnight the temperature had fallen by 26 C.Work out the temperature at midnight. C [1]3Cx A50 BNOT TOSCALEDAB BC and ABD is a straight line.Find the value of x.x . [2]4Write down(a) a square number greater than 10,. [1](b) an irrational number. [1] UCLES 20200580/22/M/J/20

35y mx cFind the value of y when m - 3, x - 2 and c - 8 .y . [2]611 cmNOT TOSCALE5 cm7 cmCalculate the area of the trapezium. cm 2 [2]7ABOn the Venn diagram, shade the region A B .8[1]Write 2 - 4 as a decimal. [1] UCLES 20200580/22/M/J/20[Turn over

49NorthNOT TOSCALENorthABThe bearing of B from A is 105 .Find the bearing of A from B. [2]10 Simplify.p 4pq#t2q. [2]113 11Without using a calculator, work out 1 - .4 12You must show all your working and give your answer as a fraction in its simplest form. [3] UCLES 20200580/22/M/J/20

512 Roberto buys a toy for 5.00 .He then sells it for 4.60 .Calculate his percentage loss. % [2]13 Simplify 8t 8 ' 4t 4 . [2]14 Solve the equation.1-x 53x . [2]15 Ella’s height is 175 cm, correct to the nearest 5 cm.Write down the upper bound of Ella’s height. cm [1]16 Calculate (3 # 10 - 3) 3 .Give your answer in standard form. [1] UCLES 20200580/22/M/J/20[Turn over

617 A train of length 105 m takes 11 seconds to pass completely through a station of length 225 m.Calculate the speed of the train in km/h. km/h [3]18y8T6420U2468xDescribe fully the single transformation that maps triangle T onto triangle U. [3]19 Make y the subject of the formula.h 2 x 2 2y 2y . [3] UCLES 20200580/22/M/J/20

720DCNOT TOSCALE20 O131 BTAA, B, C and D lie on the circle, centre O.TA is a tangent to the circle at A.Angle ABC 131 and angle ADB 20 .Find(a) angle ADC,Angle ADC . [1](b) angle AOC,Angle AOC . [1](c) angle BAT,Angle BAT . [1](d) angle OAB.Angle OAB . [1] UCLES 20200580/22/M/J/20[Turn over

821 Simplify.(a) (5x 4) 3. [2]3(b) (256x 256)8. [2]22 p is directly proportional to (q 2)2 .When q 1, p 1.Find p when q 10 .p . [3] UCLES 20200580/22/M/J/20

923y87654321012345678x(a) By drawing suitable lines and shading unwanted regions, find the region, R, wherex H 2 , y H x and 2x y G 8 .[5](b) Find the largest value of x y in the region R. [1] UCLES 20200580/22/M/J/20[Turn over

1024PNOT TOSCALE8 cm6.4 cmQThe diagram shows a sector of a circle of radius 8 cm.The length of the arc PQ is 6.4 cm.Find the area of the sector. cm 2 [4] UCLES 20200580/22/M/J/20

1125 Simplify.2x 2 x - 15ax 3a - 2bx - 6b. [5]263y 2 6 x and y n x .Find the value of n.n . [2]Question 27 is printed on the next page. UCLES 20200580/22/M/J/20[Turn over

1227HGENOT TOSCALEF6 cmCD6 cmA8 cmBThe diagram shows a cuboid.AB 8cm , AD 6 cm and DH 6 cm .Calculate angle HAF.Angle HAF . [6]Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Everyreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, thepublisher will be pleased to make amends at the earliest possible opportunity.To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the CambridgeAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to downloadat www.cambridgeinternational.org after the live examination series.Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University ofCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. UCLES 20200580/22/M/J/20

MATHEMATICS 0580/22 Paper 2 (Extended) May/June 2020 1 hour 30 minutes You must answer on the question paper. You will need: Geometrical instruments INSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.

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