0580_m24_qp_22

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This document has 12 pages.[Turn overCambridge IGCSEMATHEMATICS0580/22Paper 2 (Extended)February/March20241 hour 30 minutesYou must answer on the question paper.You will need: Geometrical instrumentsINSTRUCTIONSAnswer 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.INFORMATIONThe total mark for this paper is 70.The number of marks for each question or part question is shown in brackets [ ].*2765303769*DC (PQ/CGW) 327786/3© UCLES 2024
20580/22/F/M/24© UCLES 20241 A night bus runs from 21 50 to 05 18 the next day.Work out the number of hours and minutes that the night bus runs. ................... h .................... min [1]2 Calculate ..576283+. ................................................. [1]3 Simplify mkmk473+-+. ................................................. [2]4bcmccmacmBasedcmNOT TOSCALEThe diagram shows the net of a cuboid with its base shaded.The length of the cuboid is 10 cm, its width is 4 cm and its height is 5 cm.Write down the values of each of a, b, c and d.a= ........................., b= ........................., c= ........................., d= ......................... [4]
30580/22/F/M/24© UCLES 2024[Turn over5 There are 20 cars in a car park and 3 of the cars are blue.(a)James wants to draw a pie chart to show this information.Find the angle of the sector for the blue cars in this pie chart. ................................................. [2](b)One of the 20 cars is picked at random.Find the probability that this car is not blue. ................................................. [1]6yAB876543210112345234xWrite AB as a column vector.AB=fp [1]7 As the temperature increases, the number of people who go swimming increases. Write down the type of correlation that this statement describes. ................................................. [1]
40580/22/F/M/24© UCLES 20248 (a)The nth term of a sequence is n32-.Find the first three terms of this sequence................ , ............... , ............... [2](b)These are the first five terms of a different sequence.1 3 9 27 81Find the nth term of this sequence. ................................................. [2] 9 The line yx25=- intersects the line y3= at the point P.Find the coordinates of the point P.( ......................., .......................) [2]
50580/22/F/M/24© UCLES 2024[Turn over10 4.4cm5.3cm8.7cmPQRS3.8cm3.8cmNOT TOSCALEThe diagram shows a trapezium PQRS.Calculate the area of the trapezium. .........................................cm2 [2]11 Without using a calculator, work out 14165- .You must show all your working and give your answer as a fraction in its simplest form. ................................................. [3]
60580/22/F/M/24© UCLES 202412 Farid spins a three-sided spinner with sides labelled A, B and C.The probability that the spinner lands on C is 0.35 .Farid spins the spinner 40 times.Calculate the number of times he expects the spinner to land on C. ................................................. [1]13 The bearing of B from A is 107°.Calculate the bearing of A from B. ................................................. [2]14 A train, 1750 metres long, is travelling at 55 km/h.Calculate how long it will take for the whole train to completely cross a bridge that is 480 metres long.Give your answer in seconds, correct to the nearest second. ............................................... s [3]
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