This document has 12 pages.[Turn over*5534703778*Cambridge IGCSE™MATHEMATICS 0580/21Paper 2 (Extended) October/November 20241 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 in degrees, 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 [ ].DC (DE/SG) 336460/3© UCLES 2024, ,* 0000800000001 *¬Wz> 4mHuOªE_{5W¬]3rW¢©h¦fN§¥e¥U5u¥EE¥
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20580/21/O/N/24© UCLES 20241 A concert starts at 19 50 and finishes 2 hours 42 minutes later. Work out the time the concert finishes. ................................................. [1]2 Find the reciprocal of 114. ................................................. [1]3 Use one of the symbols ,or12= to make each statement true.72 ....................... 0.286190099 ....................... 11%13 ....................... 40 [2]4 Safia has a piece of fabric of length 5.6 m. She cuts the fabric into two parts, with lengths in the ratio 3 : 4. Calculate the length of the longer part. .............................................. m [2]* 0000800000002 *, ,ĬÕú¾Ġ ́íÈõÏĪÅĊÞù·þ×ĬݱñÖĦĝĩÏðúĉéÐгğĂĥõõÕõĕåõõąμÅąĕąõåÕDO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
30580/21/O/N/24© UCLES 2024[Turn over5 Work out. (a) 364-eofp [1] (b) 4175-+-eeoofp [1]6 The diagram shows a right-angled triangle ABC and a quadrilateral AEDC.y°x°z°17°122°34°BACDENOT TOSCALE Find the value of (a) xx = ................................................ [1] (b) yy = ................................................ [1] (c) z.z = ................................................ [1]* 0000800000003 *, ,Ĭ×ú¾Ġ ́íÈõÏĪÅĊÞû·þ×ĬݲòÎĤġęêĊćÀí躳ďĂĥõąĕμõÅĕĥõĥÅąõĥμμÕDO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
40580/21/O/N/24© UCLES 20247 Factorise.x28 35- ................................................. [1]8 Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned at the end of 3 years. $ ................................................. [2]9NOT TOSCALE°x 132+`jx° The diagram shows part of a regular polygon. The interior angle of the polygon is 132° larger than the exterior angle. Calculate the number of sides of this polygon. ................................................. [3]* 0000800000004 *, ,ĬÕú¾Ġ ́íÈõÏĪÅĊàù·Ā×ĬݲóÎĪēĐÍĈĀÇÏČĜãħĂĥÅÕĕõõÅμąÕĕÅÅõÅμåÕDO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
50580/21/O/N/24© UCLES 2024[Turn over10 Jacinda plays a game with her friend. She can win, lose or draw the game. The probability that she wins the game is 0.28 . (a) Jacinda is twice as likely to draw the game as to lose the game. Work out the probability that she loses the game. ................................................. [2] (b) Jacinda plays the game 150 times. Find the expected number of times that she wins. ................................................. [1]11 Without using a calculator, work out 531374- . You must show all your working and give your answer as a mixed number in its simplest form. ................................................. [3]* 0000800000005 *, ,Ĭ×ú¾Ġ ́íÈõÏĪÅĊàû·Ā×ĬݱôÖĠďĠìòñĂċôÀãėĂĥÅåÕμĕåÕĕåÅÅÅĕåõμÕDO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
60580/21/O/N/24© UCLES 202412 Solve the simultaneous equations. You must show all your working.xy569+=xy3217=--x = .......................................................y = ....................................................... [3]13 (a) A sequence has nth term n312-. Find the second term in this sequence. ................................................. [1] (b) The table shows the first five terms of sequences A and B.1st term2nd term3rd term4th term5th termnth termSequence A–6–22610Sequence B31755129251 Complete the table to show the nth term of each sequence. [4]* 0000800000006 *, ,ĬÙú¾Ġ ́íÈõÏĪÅĊÝû¶þ×ĬݲôÙĦ÷ĦäõĄûīČÝċħĂĥĕąÕμμåõÕÅĥÅąĕąμĥÕDO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN
