This document has 20 pages. Any blank pages are indicated.[Turn over*7079859176*Cambridge IGCSE™MATHEMATICS 0580/42Paper 4 (Extended) October/November 20242 hours 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 130.● The number of marks for each question or part question is shown in brackets [ ].DC (DE/FC) 337636/3© UCLES 2024, ,* 0000800000001 *¬W. 4mHuOªE_{6W¬j\yO¢ ̈ZtINv9¥u
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20580/42/O/N/24© UCLES 20241 (a) Anvi buys a new car.(i) The price of the car is $28 240. She is given a 7.5% discount. Calculate the amount she pays. $ ................................................. [2] (ii) The fuel tank in the new car has a capacity of 45 litres. This is 72% of the capacity of the fuel tank in her old car. Calculate the capacity of the fuel tank in her old car. ........................................ litres [2] (b) Aadi buys a new car costing $28 000. He pays for the car using a finance plan. The finance plan is• a deposit• 47 equal monthly payments of $330• a final payment of $11 490. Using this finance plan, Aadi pays a total of $31 900 for the car. Calculate the deposit paid as a percentage of $28 000. ..............................................% [4]* 0000800000002 *, ,ĬÕĊ®Ġ ́íÈõÏĪÅĊÞù ̧þ×ĬêÚúÎĦĤğáýùæĦėÆāđĂĥåĕÕõÕąμμĥąąąμĥμõÕDO 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
30580/42/O/N/24© UCLES 2024[Turn over (c) A car travels 64 km and uses 2.5 litres of fuel. It then travels 128 km and uses 6 litres of fuel. Calculate the rate at which the car uses fuel during the whole journey. Give your answer in litres per 100 km. ...................... litres per 100 km [2] (d) At the start of 2021 the value of a car was $46 500. At the end of 2021 the value of the car was 20% less. At the end of 2022 the value of the car was 15% less than its value at the end of 2021. Calculate the value of the car at the end of 2022. $ ................................................. [2]* 0000800000003 *, ,Ĭ×Ċ®Ġ ́íÈõÏĪÅĊÞû ̧þ×ĬêÙùÖĤĠďØûĈģ²ğĒāġĂĥåĥĕμμĥÕåĕÕąąÕąõĥÕDO 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
40580/42/O/N/24© UCLES 20242 The table shows some values for yxx4432=+-.x-4.5-4-3-2-1011.5y-14.154-418.4 (a) Complete the table. [2] (b) On the grid, draw the graph of yxx4432=+- for ..x4515GG- .–5–15–10–5510–4–3–2–1012xy [4] (c) (i) Draw the tangent to the graph at the point (1, 1). [1] (ii) Use your tangent to estimate the gradient of the curve at the point (1, 1). ................................................. [2]* 0000800000004 *, ,ĬÕĊ®Ġ ́íÈõÏĪÅĊàù ̧Ā×ĬêÙüÖĪĎĚãõÿĬĔà ́đęĂĥĕμĕõμĥõÅμåąÅÕåõõÕDO 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
50580/42/O/N/24© UCLES 2024[Turn over (d) By drawing a suitable straight line on the grid, solve the equation xxx46032+--= .x = .................. or x = .................. or x = .................. [4]* 0000800000005 *, ,Ĭ×Ċ®Ġ ́íÈõÏĪÅĊàû ̧Ā×ĬêÚûÎĠĒĪÖăòÝÈ»ĨđĩĂĥĕÅÕμÕąĕÕÅõąÅμÅμĥÕDO 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
60580/42/O/N/24© UCLES 20243 (a) Simplify.(i) mnmn3548--+ ................................................. [2] (ii) ()ac3234 ................................................. [2] (iii) xxx54103152-+ ................................................. [2] (b) This isosceles triangle has a perimeter of 35.5 cm.acmNOT TOSCALE()mca32+ Find the value of a.a = ................................................ [3]* 0000800000006 *, ,ĬÙĊ®Ġ ́íÈõÏĪÅĊÝûμþ×ĬêÙûÑĦúĤÎĈăØèÃą¹ęĂĥÅĥÕμõąμĕåÕąąμĥõμÕDO 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
