Pearson Edexcel Level 1/Level 2 GCSE (9 - 1) Mathematics
Write your name hereSurnameOther namesPearson EdexcelLevel 1/Level 2 GCSE (9 - 1)Centre NumberMathematicsPaper 2 (Calculator)Candidate NumberSolutionsHigher TierMock Set 1 – Autumn 2016Time: 1 hour 30 minutesPaper Reference1MA1/2HYou 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.may be used. IfCalculatorsyourcalculatornot have a π button, take the value of π to be 3.142 unless the atelydrawn, unless otherwise indicated. You must show all your workingout. Informationtotal mark for this paper is 80 TheThefor 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. KeepTrytoevery question. Checkanswer your answers if you have time at the end.Turn overS52626A 2016 Pearson Education Ltd.6/6/7/3/*S52626A0120*
DO NOT WRITE IN THIS AREAWrite your answers in the spaces provided.You must write down all the stages in your working.There are 60 students at a college.20 students study both French and Spanish.13 students study French but not Spanish.A total of 43 students study Spanish.(a) Complete the Venn diagram for this information.23. . . . . . . . . . . . . . . .4. . . . . . . . . . . . . . . .(3)One of the students at the college is to be selected at random.(b) Write down the probability that this student studies neither French nor Spanish.DO NOT WRITE IN THIS AREA20. . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA13. . . . . . . . . . . . .SpanishDO NOT WRITE IN THIS AREAFrenchDO NOT WRITE IN THIS AREA1DO NOT WRITE IN THIS AREAAnswer ALL questions.460. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 1 is 4 marks)2*S52626A0220*
2yDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA6543Q2P1–6–5–4–3–2t O–1123456x–1DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA–2–3–4–5–6Describe fully the single transformation that maps triangle P onto triangle Q.Rotation by 900 anti clockwise aboutOl. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA(Total for Question 2 is 2 marks)*S52626A0320*3Turn over
Jean records the maximum daily temperature each day for 10 days.She also records the number of children going to a paddling pool for each of these days.DO NOT WRITE IN THIS AREAShe draws this scatter graph for her information.50454035DO NOT WRITE IN THIS 2425Maximum daily temperature ( C)DO NOT WRITE IN THIS AREA5DO NOT WRITE IN THIS AREA10DO NOT WRITE IN THIS AREA15DO NOT WRITE IN THIS AREA20Jean’s information for one of these days is an outlier on the scatter graph.(a) Give a possible reason for this.It may have been raining so not many went to. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .the pool. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(b) What type of correlation does the scatter graph show?positive(1). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4*S52626A0420*
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAOn the 11th day, the maximum daily temperature was 19 C.(c) Write down an estimate for the number of children going to the paddling pool onthe 11th day.19(1). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .It would not be sensible to use the scatter graph to predict the number of children goingto the paddling pool on a day when the maximum daily temperature was 13 C.(d) Give a reason why.Outside the range of the data sample sounreliable prediction would be negative number(1)caseinthischildrenof. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA(Total for Question 3 is 4 marks)*S52626A0520*5Turn over
DO NOT WRITE IN THIS AREA3mCD2mABK4mB6inAF21E3DO NOT WRITE IN THIS AREAThe diagram shows a shape ABCDEF.All the corners of the shape are right angles.The perimeter of the shape is 28 m.x t 21282x t 18102xto2x5So FESmall Rectangle 326Large Rectangle 843238whole shapeDAOB18 416Ex 6 39231 42x1828txt8mtm25MBoth asShaded AreaWhole Shape3825Both Os13 m13m2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 4 is 5 marks)6DO NOT WRITE IN THIS AREA31 628DO NOT WRITE IN THIS AREAPerimeterDO NOT WRITE IN THIS AREAWork out the area of ABCE shown shaded on the diagram.DO NOT WRITE IN THIS AREA4*S52626A0620*
Solve the simultaneous equationsDO NOT WRITE IN THIS AREA4x y 10x – 5y 13DO NOT WRITE IN THIS AREA520 153 50x52122DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREASub for4x312 t yyyy636321in3x . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101010 12y . . . . . . . . . . . . . . . .Z. . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 5 is 3 marks)Z*S52626A0720*7Turn over
x0.5123456y631.5I0.750.60.5(b) On the grid, draw the graph of y (2)3for values of x from 0.5 to 6xy6DO NOT WRITE IN THIS AREA3xDO NOT WRITE IN THIS AREA(a) Complete the table of values for y 2DO NOT WRITE IN THIS AREA3DO NOT WRITE IN THIS AREA4DO NOT WRITE IN THIS AREA5DO NOT WRITE IN THIS AREA61O123456 x(2)(Total for Question 6 is 4 marks)8*S52626A0820*
7Gina finds out the price of a CD box set in three different countries.DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAFind cost inThe price is 98 in the UK 134.99 in the USA 139.99 in GermanyUSAThe exchange rates are 1 1.43 1 0.73Gina wants to pay the cheapest price for the box set.(a) From which country should Gina buy the box set?You must show how you get your answer.134.99f94.401 43Germany139.99 0.731 102.19DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA98 in UKso cheapest in USAbuy from USA(3)Gina lives in the UK.(b) Why might your answer to (a) not be the best country for Gina to buy thebox set from?Postage costs or long delivery time. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 7 is 4 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA8Given thata:b 8:5andb:c 3:4of 5 and3find the ratio a : b : cGive your answer in its simplest form.15bb c8 is24 153 4aLCMI 15 20a24bc15 20. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 8 is 3 marks)*S52626A0920*9Turn over
(a) Write 3.6 104 as an ordinary number.(b) Work out the value of (2.8 10–2) (4.7 105)Give your answer in standard form correct to 3 significant figures.5 96 108. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 9 is 3 marks)DO NOT WRITE IN THIS AREA36000(1). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA9y400576(i) Tick the correct statement below.511.21y µ x . . . . . . . . . . . . . . . . . . . . . . .1.44400221.44DO NOT WRITE IN THIS AREA6DO NOT WRITE IN THIS AREA5DO NOT WRITE IN THIS AREAxDO NOT WRITE IN THIS AREA10 The table shows pairs of values of x and yy µ x2 . . . . . . . . . . . . . . . . . . . . . . .y µ x3 . . . . . . . . . . . . . . . . . . . . . . .(ii) Write a formula for y in terms of xyKZ400Kx 5240025K400IT2516IT3162. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 10 is 4 marks)10*S52626A01020*
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA11 The bottom of a ladder is on horizontal ground.The top of the ladder is leaning against a vertical wall.h metresx d metresThe bottom of the ladder is d metres from the wall.The top of the ladder is h metres above the ground.The angle between the ladder and the ground is x DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREASome safety instructions say it is safe to climb the ladder whenh 4d(a) Work out the value of x when h 4dtankxhq4tan 4475.96076.00to 3 S.f76.00(3)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Some different safety instructions say the angle between the ladder and the groundshould be 75 The ladder is moved so that x 75(b) How does this affect the height, h metres, of the top of the ladder above the ground?h will be slightly decreased. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 11 is 4 marks)*S52626A01120*11Turn over
24(a) Find an expression, in terms of n, for the nth term of this sequence.1st diff22nd diffh2n975j2381524t491624682468OOOOin formula(3)The nth term of a different sequence is 2n 5(b) Show that 36 is not a term of this sequence.n4h524151625 5521321 537DO NOT WRITE IN THIS AREA2nn. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREAnth termnDO NOT WRITE IN THIS AREA15DO NOT WRITE IN THIS AREA8DO NOT WRITE IN THIS AREA3DO NOT WRITE IN THIS AREA12 Here are the first four terms of a quadratic sequence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36 notinsequence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 12 is 4 marks)12*S52626A01220*
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA13 Alex wants to find out how many ducks there are in a park.One day he puts a tag on each of 30 of the ducks.The next day he catches 40 ducks.8 of these ducks have tags on them.(i) Work out an estimate for the number of ducks in the park.of tagged ducks caught3So assumeDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAEstimate40is40XI150 ducks8150. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Alex assumed that none of the tags fell off during the night.(ii) If Alex’s assumption is wrong, explain how this could affect your answer to part (i).would be asif he had tagged less ducks250which should lead to a smaller estimatewould therefore be an overestimate (Total for Question 13 is 4 marks)It. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .14 Given that 3 –n 0.23n4 nfind the value of (3 )DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAof the total number345t5545625625. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 14 is 2 marks)*S52626A01320*13Turn over
ABDO NOT WRITE IN THIS AREA80 30 cmOAB is a chord of a circle centre O.DO NOT WRITE IN THIS AREA15The radius of the circle is 30 cm.Angle AOB 80 IT rtx 80rrr sin80036017 302 80307inzoo36T185.155cmArea of circleTrPercentage ShadedIT x 3022827.433185.1552827.4336.55xof100to 3sf. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 15 is 5 marks)14*S52626A01420*DO NOT WRITE IN THIS AREATriangleDO NOT WRITE IN THIS AREASectorDO NOT WRITE IN THIS AREAShaded AreaDO NOT WRITE IN THIS AREAWork out what percentage of the area of the circle is shaded.%
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA16 For her maths homework, Helen answered the following question.Shade the region that is defined by all these inequalities.x y6y0yx 2Here is Helen’s answer.y109876DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA54321–3–2–1 O12345678x–1–2DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAHelen made some mistakes when she answered the question.Write down two mistakes Helen made.Drewinstead ofxt2instead of6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .x. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7actgShadedyy2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Ext. . . . . . . . . . . . . . . . .Z. . . . . . . . . . . . . . . . . . . . . . . .y(Total for Question 16 is 2 marks)*S52626A01520*15Turn over
DO NOT WRITE IN THIS AREA1110987DO NOT WRITE IN THIS AREA17 Here is a speed-time graph showing the speed, in metres per second, of an objectt seconds after it started to move.6Speed (m/s)5AN0012345Time (t seconds)DO NOT WRITE IN THIS AREA1DO NOT WRITE IN THIS AREA2DO NOT WRITE IN THIS AREA3DO NOT WRITE IN THIS AREA4(a) Use 3 strips of equal width to find an estimate for the area under the graphbetween t 1 and t 4Trapezium RuleIArea3.61hz yo t2216.48.4yityalty9.621.421.4(3) units. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16*S52626A01620*
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA(b) Describe fully what your answer to part (a) represents.Distance travelled in metres. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(c) Explain whether your answer in part (a) gives an underestimate or an overestimate forthe area under the graph.Underestimate because trapezia are allunder the curve. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 17 is 6 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS A
Paper Reference Turn over S52626A 2016 Pearson Education Ltd. 6/6/7/3/ *S52626A0120* Mathematics Paper 2 (Calculator) Higher Tier Mock Set 1 – Autumn 2016 Time: 1 hour 30 minutes 1MA1/2H You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Pearson Edexcel A level Economics Student Textbook 592pp 9781510449596 36.99 Summer 2019 Pearson Edexcel A level Economics Student eTextbook 9781510450011 1 year: 9.25; 2 year: 14.75; 3 year: 22.20 Summer 2019 Pearson Edexcel A level Economics Whiteboard eTextbook 9781510450028 Small school: 50 /
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