Level 1/Level 2 GCSE (9–1) Mock Set 4 – Autumn 2018
Please check the examination details below before entering your candidate informationCandidate surnameOther namesCentre NumberCandidate NumberPearson EdexcelLevel 1/Level 2 GCSE (9–1)Mock Set 4 – Autumn 2018Time: 1 hour 30 minutesPaper Reference 1MA1/1HMathematicsPaper 1 (Non-Calculator)Higher TierSolutionsYou must have: Ruler graduated in centimetres and millimetres,protractor, pair of compasses, pen, HB pencil, eraser.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.all questions. Answerthe questions in the spaces provided Answer– there may be more space than you need.must show all your working. Youare NOT accurately drawn, unless otherwise indicated. Diagrams Calculators may not be used.Informationtotal mark for this paper is 80 Themarks for each question are shown in brackets The– use this as a guide as to how much time to spend on each question.Adviceeach question carefully before you start to answer it. ReadKeepeye on the time. Try toananswerevery question. Check your answersif you have time at the end. Turn overS59726A 2018 Pearson Education Ltd.1/1/1/*S59726A0121*
Answer ALL questions.DO NOT WRITE IN THIS AREAWrite your answers in the spaces provided.You must write down all the stages in your working.1Write 136 as a product of its prime factors.2136216821341717222DO NOT WRITE IN THIS AREA13617. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 1 is 3 marks)DO NOT WRITE IN THIS AREA2*S59726A0221*
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA2A biased spinner can land on red, on blue, on green or on yellow.John is going to spin the spinner.The table shows each of the probabilities that the spinner will land on red, on blue or on 150.4(a) Complete the table.(2)Hayley is going to spin the spinner 60 times.(b) Work out an estimate for the number of times the spinner will land on red.600.212. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)DO NOT WRITE IN THIS AREA(Total for Question 2 is 4 marks)*S59726A0321*3Turn over
3An empty tank is a cylinder of height 5 metres.5 metresMalcolm draws this graph to show the depth of water in thetank as water is poured into the tank.54DO NOT WRITE IN THIS AREAWater is poured into the tank at a constant rate.It takes 4 minutes to fill the tank completely with water.Depth of 3water(metres) 20012345Time (minutes)Write down two things wrong with this graph.bestraight line graph1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .aShould. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREA1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5miShouldend at . . . . . . . . . . .Amin2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5in. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . not. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4in. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 3 is 2 marks)4*S59726A0421*DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4DO NOT WRITE IN THIS AREAy653 8 7 6 5 4I 32A1 2 1 O123456 x 1 2Describe fully the single transformation that maps triangle A onto triangle B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Rotationby900 anti clockwise about2i. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 4 is 2 marks)DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4B*S59726A0521*5Turn over
5This accurate diagram shows three points A, B and C.BDO NOT WRITE IN THIS AREAADO NOT WRITE IN THIS AREACRegion R contains all the points that areless than 4 cm from each of the points A and Cand nearer to point B than to point A(Total for Question 5 is 3 marks)6*S59726A0621*DO NOT WRITE IN THIS AREAShow, by shading, the region R.
DO NOT WRITE IN THIS AREA6Each student at a college is going to be given a notebook.The colour of each notebook will be red or blue or green or orange.Bill takes a sample of 50 of the students at the college.He asks each of these students what colour of notebook they want.The table gives Bill’s results.Notebook colourredbluegreenorangeNumber of students1816106There are 3000 students at the college.Red(a) Work out how many red notebooks Bill should buy.DO NOT WRITE IN THIS AREA3000x36Too3630oo1080I 080.(2)(b) Write down one assumption that you made in answering part (a).Explain how your answer would be affected if this assumption were not true.sample is representative of choicesthat would be made by all college studentsCould need more or less red books if assumptionAssume. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .true(Total for Question 6 is 3 marks)DO NOT WRITE IN THIS AREAis not(1)*S59726A0721*7Turn over
7The plan and side elevation of a solid prism are shown on the grid.DO NOT WRITE IN THIS AREAOn the grid, draw the front elevation of the prism from the direction of the arrow.side elevation(Total for Question 7 is 2 marks)DO NOT WRITE IN THIS AREAplanDO NOT WRITE IN THIS AREA8*S59726A0821*
DO NOT WRITE IN THIS AREA8Cars are made in a factory for 24 hours every day.In the factory a car is made every 209 seconds.(a) Work out an estimate for the number of cars made in the factory in one year.You must show how you get your answer.209sost3 minI202024480DO NOT WRITE IN THIS AREA500CarsXper hr480cars365per day365365500 4172500172500.(4)(b) Is your answer to part (a) an underestimate or an overestimate?Give a reason for your answer.HaveroundedtimetomakecardownDO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Have roundedcarsper day upSo unclear whether over or underestimate. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(Total for Question 8 is 5 marks)*S59726A0921*9Turn over
9Here is a stem and leaf diagram for the heights, in mm, of 25 seedlings.2446942O2457785023566O761224Work out the interquartile range.DO NOT WRITE IN THIS AREA3Key:73 2 represents 32 mm9I QR57421515. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .mm10 Adam buys a computer.20% VAT is added to the price of the computer.Adam has to pay a total of 900Work out the price of the computer before VAT is added.9001201 90611150150 x 5f 75020100(Total for Question 10 is 2 marks)*S59726A01021*DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75010DO NOT WRITE IN THIS AREA(Total for Question 9 is 2 marks)
DO NOT WRITE IN THIS AREA11 (a) Solve 3x2 108I10823366If 36x6x.(2)(b) Factorise x2 2x 35x5x7x5x7DO NOT WRITE IN THIS AREA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)u 3t 24(c) Make t the subject of the formula.444DO NOT WRITE IN THIS AREA3E2Uu2u z3EEt34 Cu 23. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(3)(Total for Question 11 is 7 marks)*S59726A01121*11Turn over
12 (a) Write down the value of 250(1)(b) Find the value of 491 2DO NOT WRITE IN THIS AREAI. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .TT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)2(c) Find the value of 64 3HI4216(2)(Total for Question 12 is 5 marks)12*S59726A01221*DO NOT WRITE IN THIS AREA16. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .DO NOT WRITE IN THIS AREAI
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA13 Ben fills a glass with orange juice and lemonade in the ratio 1 : 4 by volume.He mixes the liquid that is in the glass.1of this liquid.4He then fills the glass using orange juice.Ben drinksWork out the ratio of orange juice to lemonade, by volume, that is now in the glass.Give your ratio in its simplest form.Orange juice14416partsso312parts left5 partsorange5Drinks 4Addslemonade223Orange lemonade2 3.DO NOT WRITE IN THIS AREA(Total for Question 13 is 3 marks)*S59726A01321*13Turn over
14 Ayshab walked x miles at 4 mph.She then walked 2x miles at 3 mph.DO NOT WRITE IN THIS AREA(a) Find Ayshab’s average speed for the whole journey.Give your answer as a mixed number.TotalDistanceSpeedx42x3Timex4ZI337It12f37. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .mph(4)The second part of the journey took 25 minutes longer than the first part of the journey.(b) Find the value of x.2xI603K538xI12121251212xIIx . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(4)(Total for Question 14 is 8 marks)*S59726A01421*DO NOT WRITE IN THIS AREA5K14DO NOT WRITE IN THIS AREA3xAverage speed13xfz8
DO NOT WRITE IN THIS AREA15 f (n) (2n 1)2 (2n 1)2 10 where n is an integer.Prove that f (n) is never a multiple of 8fn454h8h108h82l2nalways 2 less thanand thereforeneveraaIntl14hloI10multiple ofmultiple8of 8DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4n2I4h8So45Anti(Total for Question 15 is 4 marks)*S59726A01521*15Turn over
16 y is inversely proportional to the square of x.y 1 when x 10DO NOT WRITE IN THIS AREAFind the value of y when x 5yyetc 70I100100y2I102k22When5xy101zy10025g4y . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 16 is 3 marks)DO NOT WRITE IN THIS AREA5 4DO NOT WRITE IN THIS AREA16*S59726A01621*
DO NOT WRITE IN THIS AREA17BAOTCA, B and C are points on a circle, centre O.CT is the tangent to the circle at C.L etL BCTLOCB90 xOBC90 LradiusBase s ofL BOC18090Egtisosoangle sun ofBocLt 90 Lo2xLBACL at centre twice c at cireDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAProve that angle BAC angle BCTA(Total for Question 17 is 4 marks)*S59726A01721*17Turn over
18 The graph gives the speed, in km/h, of a ship t hours after leaving a port.f2015Speed (km/h)10gradient22.2515.56.75012DO NOT WRITE IN THIS AREA503Time (t hours)(a) Find an estimate of the gradient of the graph when t 1.3You must show how you get your answer.(3)(b) Interpret your answer to part (a) in the context of the question.You must give units with your interpretation.8.5 Km per hr per hr28.5 km h. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .or. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 18 is 5 marks)18*S59726A01821*DO NOT WRITE IN THIS AREA6 75. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .AccelerationDO NOT WRITE IN THIS AREA25
DO NOT WRITE IN THIS AREA19 Here are two solid prisms, prism A and prism B.10 cm10 cm45 5 cmprism A10 cm60 prism BThe cross section of prism A is a sector, with angle 45 , of a circle of radius 10 cm.The prism has a depth of 10 cm and a mass of 40π grams.The cross section of prism B is a sector, with angle 60 , of a circle of radius 10 cm.The prism has a depth of 5 cm and a mass of 50π grams.DO NOT WRITE IN THIS AREAExpress the difference in the densities of the two prisms as a percentage of the density of prism A.Vol AVol BDensityfx I102 101251Ttfx TX102 550A429Density B501T65001T106DO NOT WRITE IN THIS AREA0.166DifferenceDifferenceasItooa2,1percentage of Density Afx 10087.5.%(Total for Question 19 is 5 marks)*S59726A01921*19Turn over
20 Show that94.7 xHt521211121 85212s121 8521 12552216I28DO NOT WRITE IN THIS AREA12 128can be written in the form a b 2 where a and b are integers.1 22052DO NOT WRITE IN THIS AREA20*S59726A02021*DO NOT WRITE IN THIS AREA(Total for Question 20 is 4 marks)
DO NOT WRITE IN THIS AREA21yABIt10OinkiloxC (6, 8)The diagram shows the circle with equation x2 y2 100The unit of length on both axes is one centimetre.radiustoDO NOT WRITE IN THIS AREAThe circle intersects the positive y-axis at the point A.The point C on the circle has coordinates (6, 8)The straight lines AB and CB are tangents to the circle.Find the area of quadrilateral ABCO.BEABEx21222caDO NOT WRITE IN THIS AREAArea65 110 8536036036 t 32411230Tzbase x heightof OOABIx 1015030Area of quadrilateral AB.com200 AB2150300 m2300.cm2(Total for Question 21 is 4 marks)TOTAL FOR PAPER IS 80 MARKS*S59726A02121*21
Try to answer every question. Check your answers if you have time at the end. Pearson Edexcel Level 1/Level 2 GCSE (9–1) Centre Number Candidate Number You must have: Ruler graduated in centimetres and millimetres, Total Marks protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used. Mathematics Paper 1 (Non .
SHAPING A BETTER WORLD SINCE 1845. VIRTUAL OPEN DAYS 10 –12 SEPTEMBER 2020 . Average 6B (1A in profile) at GCSE or average BBB at AS-level . PPE 1A 6B at GCSE or BBB at AS-level 1A 6B at GCSE or BBB at AS-level MEng GCSE - 6B GCSE - 6B Midwifery GCSE - 5B including Maths and Science GCSE - 5B inc
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