P55587A GCSE Maths 1MA1 2F Nov18

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Please check the examination details below before entering your candidate informationCandidate surnameOther namesCentre NumberCandidate NumberPearson EdexcelLevel 1/Level 2 GCSE (9–1)Thursday 8 November 2018Morning (Time: 1 hour 30 minutes)Paper Reference 1MA1/2FMathematicsPaper 2 (Calculator)Foundation TierYou must have: Ruler graduated in centimetres and millimetres,protractor, pair of compasses, pen, HB pencil, eraser, calculator.Tracing paper may be used.Total MarksInstructionsblack ink or ball-point pen. UseFill in the boxes at the top of this page with your name, centrenumber 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 doeshave a ʌ button, take the value of ʌ to be 3.142 unless the questionnotinstructsotherwise.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. Try Check your answers if you have time at the end.P55587A 2018 Pearson Education Ltd.6/7/7/7/7/1/*P55587A0120*Turn over

Answer ALL questions.You must write down all the stages in your working.1Write down the value of the 4 in the number 542.3.(Total for Question 1 is 1 mark)2DO NOT WRITE IN THIS AREAWrite your answers in the spaces provided.Write down a square number that is also an odd number.3(a) Change 4560 g into kg.kg(1)(b) Change 7.3 m into mm.mmDO NOT WRITE IN THIS AREA(Total for Question 2 is 1 mark)(1)(Total for Question 3 is 2 marks)4Work out the cube root of 64(Total for Question 4 is 1 mark)5Write 0.31 as a fraction.(Total for Question 5 is 1 mark)2*P55587A0220*DO NOT WRITE IN THIS AREA.

6Here are four fractions.DO NOT WRITE IN THIS AREA345719251115Write the fractions in order of size.Start with the smallest fraction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA(Total for Question 6 is 2 marks)7(a) Simplify3m í m í m 3m.(1)(b) Simplify2qnqpq4.(1)(Total for Question 7 is 2 marks)DO NOT WRITE IN THIS AREA8A map has a scale of 1 cm to 14 km.On the map, the distance between Manchester and London is 18.8 cm.What is the real distance, in km, between Manchester and London?.km(Total for Question 8 is 2 marks)*P55587A0320*3Turn over

9(a) The nth term of a sequence is 3n 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Here are the first three terms of a different sequence.124Write down two numbers that could be the 4th term and the 5th term of this sequence.Give the rule you have used to get your numbers.DO NOT WRITE IN THIS AREAExplain why 21 is not a term of this sequence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 9 is 4 marks)10 Here is a number machine.input 5–2output(a) Work out the output when the input is 8DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(b) Work out the input when the output is 28.(2)(Total for Question 10 is 3 marks)4*P55587A0420*DO NOT WRITE IN THIS AREA(1)

DO NOT WRITE IN THIS AREA11 Adam gets a bonus of 30% of 80Katy gets a bonus of 28Work out the difference between the bonus Adam gets and the bonus Katy gets. .DO NOT WRITE IN THIS AREA(Total for Question 11 is 3 marks)12 There are 49 counters in a bag.20 of the counters are red.The rest of the counters are blue.One of the counters is taken at random.Find the probability that the counter is blue.DO NOT WRITE IN THIS AREA(Total for Question 12 is 2 marks)*P55587A0520*5Turn over

13 A square has an area of 81 cm2DO NOT WRITE IN THIS AREA81 cm2(a) Find the perimeter of the square.cm(2)16 cmDO NOT WRITE IN THIS AREAThe diagram shows a right-angled triangle and a parallelogram.h cm9 cm30 cmThe area of the parallelogram is 5 times the area of the triangle.The perpendicular height of the parallelogram is h cm.(b) Find the value of h.(Total for Question 13 is 5 marks)6*P55587A0620*DO NOT WRITE IN THIS AREAh .(3)

DO NOT WRITE IN THIS AREA14 Victoria throws an ordinary fair 6-sided dice once.She says,“The probability of getting a 3 is half the probability of getting a 6”(a) Is Victoria correct?You must explain your answer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)Andy throws the dice twice.He says,“The probability of getting a 6 on both throws isDO NOT WRITE IN THIS AREA(b) Is Andy correct?You must explain your answer.2”6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)Indre throws the dice once.She also throws a coin to get Heads or Tails.(c) List all the possible outcomes she can get. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA(2)(Total for Question 14 is 4 marks)*P55587A0720*7Turn over

15 Remi invests 600 for 5 years in a savings account.By the end of the 5 years he has received a total of 75 simple interest.DO NOT WRITE IN THIS AREAWork out the annual rate of simple interest.%(Total for Question 15 is 3 marks)DO NOT WRITE IN THIS AREA16y543A21í í í í í O12345xí Bí í í Describe fully the single transformation that maps shape A onto shape B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 16 is 2 marks)8*P55587A0820*DO NOT WRITE IN THIS AREAí

DO NOT WRITE IN THIS AREA17 Adrian is going to make concrete.He is going to use180 kg of cement375 kg of sand1080 kg of stoneCement, sand and stone are sold in bags.1 bag cement1 bag sand1 bag stone25 kg22.5 kg50 kgAdrian already has10 bags of cement20 bags of sand20 bags of stoneDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAWork out what bags he needs to buy to make the concrete.(Total for Question 17 is 3 marks)*P55587A0920*9Turn over

18 Bill wants to increase 150 by 3%He writes downBill’s method is wrong.(a) Explain why. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)Sally wants to decrease 150 by 3%DO NOT WRITE IN THIS AREA150 q 1.3 195(b) Complete this statement to show how Sally can decrease 150 by 3%150 q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)19 (a) Solve3(x – 4) 12(b) Factorise fully9b – 3b 2.(2)(Total for Question 19 is 4 marks)10*P55587A01020*DO NOT WRITE IN THIS AREAx .(2)DO NOT WRITE IN THIS AREA(Total for Question 18 is 2 marks)

DO NOT WRITE IN THIS AREA20 E {even numbers between 1 and 25}A {2, 8, 10, 14}B {6, 8, 20}C {8, 18, 20, 22}(a) Complete the Venn diagram for this information.EAB(4)A number is chosen at random from E.(b) Find the probability that the number is a member of A B.(2)(Total for Question 20 is 6 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAC*P55587A01120*11Turn over

21 Sean has information about the height, in cm, and the weight, in kg, of each of ten rugby players.DO NOT WRITE IN THIS AREAHe is asked to draw a scatter graph and a line of best fit for this information.Here is his answer.105100Weight (kg)9590160170180Height (cm)190200Sean has plotted the points accurately.Write down two things that are wrong with his answer.1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA85140. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12*P55587A01220*DO NOT WRITE IN THIS AREA(Total for Question 21 is 2 marks)

DO NOT WRITE IN THIS AREA22 BEG is a triangle.CB35 Ax110 DGF25 EWork out the size of angle x.Give a reason for each stage of your working.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAABC and DEF are parallel lines. (Total for Question 22 is 4 marks)*P55587A01320*13Turn over

23 Northern Bank has two types of account.Both accounts pay compound interest.DO NOT WRITE IN THIS AREACash savings accountInterest2.5% per annumShares accountInterest3.5% per annumAli invests 2000 in the cash savings account.Ben invests 1600 in the shares account.(a) Work out who will get the most interest by the end of 3 years.You must show all your working.DO NOT WRITE IN THIS AREA(4)(b) Does this affect who will get the most interest by the end of 3 years?Give a reason for your answer. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 23 is 5 marks)14*P55587A01420*DO NOT WRITE IN THIS AREAIn the 3rd year the rate of interest for the shares account is changed to 4% per annum.

DO NOT WRITE IN THIS AREA24 The diagram shows a floor in the shape of a trapezium.10 m7m5 litres16 m 16.99John is going to paint the floor.Each 5 litre tin of paint costs 16.991 litre of paint covers an area of 2 m2Has John got enough money to buy all the paint he needs?You must show how you get your answer.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAJohn has 160 to spend on paint.(Total for Question 24 is 5 marks)*P55587A01520*15Turn over

25 A is the point with coordinates (5, 9)B is the point with coordinates (d, 15)DO NOT WRITE IN THIS AREAThe gradient of the line AB is 3Work out the value of d.DO NOT WRITE IN THIS AREA(Total for Question 25 is 3 marks)DO NOT WRITE IN THIS AREA16*P55587A01620*

DO NOT WRITE IN THIS AREA26 (a) Expand and simplify (5x 2)(2x – 3). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Factorise x2 4x 3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA(2)(Total for Question 26 is 4 marks)27 (a) Write the number 0.000 075 47 in standard form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(b) Write 3.42 q 104 as an ordinary number. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)DO NOT WRITE IN THIS AREA2.3 104 6.7 103(c) Work out5 10 8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 27 is 4 marks)TOTAL FOR PAPER IS 80 MARKS*P55587A01720*17

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DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREABLANK PAGE*P55587A01920*19DO NOT WRITE IN THIS AREA

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You must have: Ruler graduated in centimetres and millimetres, Total Marks protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Mathematics Paper 2 (Calculator) Foundation Tier Morning (Time: 1 hour 30 minutes) Paper Reference 1MA1/2F Thursday 8 November 2018 Candidate surname

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