This document has 24 pages. Any blank pages are indicated.[Turn overCambridge IGCSE™MATHEMATICS 0580/43Paper 4 (Extended) May/June20242 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 [ ].*5814134104*DC (CJ/SG) 329214/4© UCLES 2024,
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20580/43/M/J/24© UCLES 20241 (a) In 2023 a football club had 50 adult members and 70 child members.The membership fee for an adult was $40 and the membership fee for a child was $15.(i) Calculate the total of the membership fees received by the club in 2023. $ ................................................ [2] (ii) The cost of running the club in 2023 was $2780.Calculate $2780 as a percentage of the total of the membership fees received by the club. ............................................. % [1] (iii) In 2023 there were 120 members.This was a decrease by 4% of the number of members in 2022.Calculate the number of members in 2022. ................................................. [2] (iv) In 2024 the total number of members increased from the 120 members in 2023. The number of adult members and the number of child members each increased by the same number. The ratio number of adult members : number of child members changed to 14 : 19.(a)Find the total number of members in 2024. ................................................. [2]* 0019655323302 *,
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30580/43/M/J/24© UCLES 2024[Turn over(b)Calculate the percentage increase in the total number of members from 2023 to 2024. ............................................. % [2] (b) The population of a village is 2500.The population is decreasing exponentially at a rate of 3% per year. (i) Calculate the population at the end of 3 years. ................................................. [2] (ii) Find the number of complete years it takes for the population to first fall below 2000. ........................................ years [2]* 0019655323303 *,
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40580/43/M/J/24© UCLES 20242 (a) The nth term of a sequence is n1203- .(i) Find the 4th term of this sequence. ................................................. [1] (ii) Find the value of n when the nth term is -1211.n= ..................................................[2] (b) The nth term of a different sequence is (.)302n1#- .Find the 5th term of this sequence. ................................................. [1]* 0019655323304 *,
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50580/43/M/J/24© UCLES 2024[Turn over (c) The table shows the first four terms of sequences A, B and C.Sequence1st term2nd term3rd term4th term5th termnth termA741-2B41526374C02612Complete the table for each sequence. [8]* 0019655323305 *,
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60580/43/M/J/24© UCLES 20243 (a) Rahul rolls a dice 60 times.The results are shown in the table.Score 123456Frequency 1061113146Find the mode, the median and the mean. mode = ................................................ median = ................................................ mean = ................................................ [5] (b) Sangita measures the speed of each of 100 cars.The results are shown in the table.Speed (v km/h)v20301Gv00351Gv05751GFrequency 107218(i) Calculate an estimate of the mean speed. ........................................ km/h [4]* 0019655323306 *,
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