P48862a Gcse Maths 1ma1 3f Jun18 - Think Online Training

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Write your name hereSurnameOther namesPearson EdexcelCentre NumberCandidate NumberLevel 1/Level 2 GCSE (9-1)MathematicsPaper 3 (Calculator)Foundation TierTuesday 12 June 2018 – MorningTime: 1 hour 30 minutesPaper Reference1MA1/3FYou must have: Ruler graduated in centimetres and millimetres,protractor, pair of compasses, pen, HB pencil, eraser, calculator.Tracing paper may be used.Total MarksInstructionsUse black ink or ball-point pen. Fillboxes at the top of this page with your name, centrein thenumber and candidate number.Answer Answer allthequestions.in the spaces provided – there may bequestionsmore space than you need.must show all your working. YouDiagramsNOT accurately drawn, unless otherwise indicated. Calculatorsaremaybe used. If your calculator doesnot have a ʌ button, take the value of ʌ to be 3.142 unless the question instructsotherwise.InformationThe total mark for this paper is 80 Thefor each question are shown in brackets – usemarksthis as a guide as to how much time to spend on each question.Adviceeach question carefully before you start to answer it. Readan eye on the time. Keepto answer every question. TryCheck your answers if you have time at the end.Turn overP48862A 2018 Pearson Education Ltd.6/7/7/7/8/8/7/1/*P48862A0124*

Answer ALL questions.You must write down all the stages in your working.1Write9as a decimal.10.(Total for Question 1 is 1 mark)2Write 0.3 as a percentage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%Write the number 2538 correct to the nearest hundred.(Total for Question 3 is 1 mark)4Here are the first 4 terms of a sequence.2916DO NOT WRITE IN THIS AREA(Total for Question 2 is 1 mark)3DO NOT WRITE IN THIS AREAWrite your answers in the spaces provided.23(a) (i) Write down the next term in the sequence.(1). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(b) Work out the 10th term of the sequence.(1)(Total for Question 4 is 3 marks)2*P48862A0224*DO NOT WRITE IN THIS AREA(ii) Explain how you got your answer.

5Here are four digits.DO NOT WRITE IN THIS AREA7349(a) Use three of these digits to write down the largest possible 3-digit number.(1)(b) Here are four different digits.8216DO NOT WRITE IN THIS AREAPut one of these digits in each box to give the smallest possible answer to the sum.You must use each digit only once. (1)(Total for Question 5 is 2 marks)6Write down all the factors of 30DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 6 is 2 marks)*P48862A0324*3Turn over

7David has twice as many cousins as Becky.Becky has twice as many cousins as Nishat.How many cousins does David have?.DO NOT WRITE IN THIS AREANishat has 6 cousins.(Total for Question 7 is 2 marks)8(a) Find the value of1.44 3.61(1)(b) Find the value of(3.54 – 0.96)2 – 4.096(2)(Total for Question 8 is 3 marks)4*P48862A0424*DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA.

DO NOT WRITE IN THIS AREA9This is part of a bus timetable between Bury and Manchester.Bury08 2508 5509 1509 3009 4510 05Whitefield08 3409 0409 2409 3909 5410 14Heaton Park08 4609 1609 3609 5110 0610 27Cheetham08 5609 2609 4610 0110 1610 37Manchester09 0509 3509 5510 1010 2510 48(a) How many minutes should the 08 25 bus take to go from Bury to Manchester?(1)minutesDaniel goes from Whitefield to Manchester by bus.Daniel takes 17 minutes to get from his house to the bus stop in Whitefield.He takes 15 minutes to get from the bus stop in Manchester to work.Daniel has to get to work by 10 am.He leaves his house at 8.45 am.(b) Does Daniel get to work by 10 am?You must show all your working.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA.(3)(Total for Question 9 is 4 marks)*P48862A0524*5Turn over

10 Bronwin works in a restaurant.DayRate of payMonday to Friday 8.40 per hourWeekend 11.20 per hourBronwin worked for a total of 20 hours last week.She worked 8 of these 20 hours at the weekend.DO NOT WRITE IN THIS AREAThe table gives her rates of pay.Show that Bronwin was paid less than 200 last week.DO NOT WRITE IN THIS AREA(Total for Question 10 is 3 marks)DO NOT WRITE IN THIS AREA6*P48862A0624*

DO NOT WRITE IN THIS AREA11 Last year the cost of a season ticket for a football club was 560This year the cost of a season ticket for the club has been increased to 600Write down the increase in the cost of a season ticket as a fraction of last year’s cost.(Total for Question 11 is 2 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA.*P48862A0724*7Turn over

12 The diagram shows a scale drawing of a tennis court.DO NOT WRITE IN THIS AREAThe scale of the drawing is 1 : 200Work out the perimeter of the real tennis court.Give your answer in metres.DO NOT WRITE IN THIS AREA(Total for Question 12 is 5 marks)8*P48862A0824*metresDO NOT WRITE IN THIS AREA.

DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA13 Here are six straight line aph AGraph BGraph Cyyy222O2x–22Ox–2O–2–2–2Graph DGraph EGraph F2x2xMatch each equation in the table to the correct graph.Write the letter of the graph in the table.EquationGraphy 2DO NOT WRITE IN THIS AREAy xx y 2(Total for Question 13 is 2 marks)*P48862A0924*9Turn over

14 Here are the marks 20 students got in a French test.82846980647081759187678070947681697177DO NOT WRITE IN THIS AREA76(a) Show this information in a stem and leaf diagram.DO NOT WRITE IN THIS AREA(3)One of these students is going to be chosen at random.The pass mark in the French test is 71Omar writes,The probability that this student failed the French test is14(b) Explain why. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 14 is 5 marks)10*P48862A01024*DO NOT WRITE IN THIS AREAOmar is wrong.

DO NOT WRITE IN THIS AREA15 Jenny is asked to find the value ofHere is her working.12 – 2 412 – 2 4 10 4 40Jenny’s answer is wrong.(a) Explain what Jenny has done wrong. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)Rehan is asked to find the range of the numbersHere is his working.31875Range 5 – 3 2(b) Explain why. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 15 is 2 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAThis is wrong.*P48862A01124*11Turn over

Bispah getsDO NOT WRITE IN THIS AREA16 Alan, Bispah and Chan share a sum of money.1Alan gets of the money.81of the money.2Chan gets the rest of the money.Alan gets 2.50(a) Work out how much money Bispah gets.(b) Find the ratioamount of money Alan gets : amount of money Chan getsGive your answer in the form a : b where a and b are whole numbers.(3)(Total for Question 16 is 5 marks)12*P48862A01224*DO NOT WRITE IN THIS AREA.DO NOT WRITE IN THIS AREA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)

DO NOT WRITE IN THIS AREA17 ABC is an isosceles right-angled triangle.A3x cmB3x cmCThe area of the triangle is 162 cm2DO NOT WRITE IN THIS AREAWork out the value of x.x . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 17 is 3 marks)DO NOT WRITE IN THIS AREA18 Work out the value of2.645 1091.15 103Give your answer in standard form.(Total for Question 18 is 2 marks)*P48862A01324*13Turn over

19 The scatter diagram shows information about 12 girls.DO NOT WRITE IN THIS AREAIt shows the age of each girl and the best time she takes to run 100 metres.171615Time inseconds14DO NOT WRITE IN THIS AREA131211109101112131415(a) Write down the type of correlation.(1)14*P48862A01424*DO NOT WRITE IN THIS AREAAge in years

DO NOT WRITE IN THIS AREAKristina is 11 years old.Her best time to run 100 metres is 12 seconds.The point representing this information would be an outlier on the scatter diagram.(b) Explain why. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)Debbie is 15 years old.Debbie says,“The scatter diagram shows I should take less than 12 seconds to run 100 metres.”(c) Comment on what Debbie says.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 19 is 3 marks)20 Expand and simplify5( p 3) – 2(1 – 2p).(Total for Question 20 is 2 marks)*P48862A01524*15Turn over

21 Here is a trapezium drawn on a centimetre grid.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAOn the grid, draw a triangle equal in area to this trapezium.DO NOT WRITE IN THIS AREA(Total for Question 21 is 2 marks)16*P48862A01624*

DO NOT WRITE IN THIS AREA22 When a biased 6-sided dice is thrown once, the probability that it will land on 4 is 0.65The biased dice is thrown twice.Amir draws this probability tree diagram.The diagram is not correct.first throwsecond throwland on 40.35land on 40.650.65not land on 4DO NOT WRITE IN THIS AREAland on 40.650.25not land on 40.35not land on 4Write down two things that are wrong with the probability tree diagram.1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 22 is 2 marks)*P48862A01724*17Turn over

23 ABC is a right-angled triangle.DO NOT WRITE IN THIS AREAA11 cmC7 cmB(a) Work out the size of angle ABC.Give your answer correct to 1 decimal place.q(2)The length of the side AB is reduced by 1 cm.DO NOT WRITE IN THIS AREA.The length of the side BC is still 7 cm.Angle ACB is still 90q(b) Will the value of cos ABC increase or decrease?You must give a reason for your answer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 23 is 3 marks)18*P48862A01824*DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

DO NOT WRITE IN THIS AREA24 There are some counters in a bag.The counters are red or white or blue or yellow.Bob is going to take at random a counter from the bag.The table shows each of the probabilities that the counter will be blue or will be There are 18 blue counters in the bag.The probability that the counter Bob takes will be red is twice the probability that thecounter will be white.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA(a) Work out the number of red counters in the bag.(4)A marble is going to be taken at random from a box of marbles.The probability that the marble will be silver is 0.5There must be an even number of marbles in the box.(b) Explain why. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 24 is 5 marks)*P48862A01924*19Turn over

25 Solve5 x 2x – 72DO NOT WRITE IN THIS AREA(Total for Question 25 is 3 marks)DO NOT WRITE IN THIS AREAx .DO NOT WRITE IN THIS AREA20*P48862A02024*

DO NOT WRITE IN THIS AREA26 ABCDE is a pentagon.A125qEB115qDCWork out the size of angle BCD.You must show all your working.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAAngle BCD 2 angle ABC.q(Total for Question 26 is 5 marks)*P48862A02124*21Turn over

27 Triangle ABC and triangle DEF are similar.6.4 cmC8.4 cmDO NOT WRITE IN THIS AREADA12.6 cmBF15 cmE(a) Work out the length of DF.cm.cm(2)(b) Work out the length of CB.(2)22*P48862A02224*DO NOT WRITE IN THIS AREA(Total for Question 27 is 4 marks)DO NOT WRITE IN THIS AREA.

DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA28 Make g the subject of the formulaT g 62.(Total for Question 28 is 3 marks)DO NOT WRITE IN THIS AREATOTAL FOR PAPER IS 80 MARKS*P48862A02324*23

DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA*P48862A02424*24DO NOT WRITE IN THIS AREABLANK PAGE

Time: 1 hour 30 minutes 1MA1/3F You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this

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