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Write your name hereSurnameOther namesPearson Edexcel CertificatePearson EdexcelInternational GCSECentre NumberCandidate NumberMathematics APaper 1FFoundation TierFriday 10 January 2014 – MorningTime: 2 hoursPaper Reference4MA0/1FKMA0/1FYou must have:Total MarksRuler graduated in centimetres and millimetres, protractor, compasses,pen, HB pencil, eraser, calculator. Tracing paper may be used.Instructionsblack ink or ball-point pen.t Usein the boxes at the top of this page with your name,t Fillcentre number and candidate number.all questions.t Answersufficient working, correct answers may be awarded no marks.t Withoutthe questions in the spaces providedt Answer– there may be more space than you need.may be used.t Calculatorsmust NOT write anything on the formulae page.t YouAnything you write on the formulae page will gain NO credit.Informationtotal mark for this paper is 100.t Themarks for each question are shown in bracketst 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.t Readt Check your answers if you have time at the end.Turn overP42938A 2014 Pearson Education Ltd.5/6/1/1/1/1/1/*P42938A0120*

International GCSE MATHEMATICSFORMULAE SHEET – FOUNDATION TIERArea of a trapezium 12 (a b)hPythagoras’Theorema2 b2 c2cabhabhypoppadjadj hyp cosopp hyp sinopp adj tanorsinopphypcosadjhyptanoppadjVolume of prism area of cross sectioncrosssectionlengthCircumference of circle 2 rArea of circle r2rVolume of cylinder r2hh2Curved surface areaof cylinder 2 rh*P42938A0220*rlength

Answer ALL NINETEEN questions.Write your answers in the spaces provided.You must write down all the stages in your working.1 The table gives information shown to passengers on a plane during a flight from Dubaito Birmingham.Altitude9753 mDistance from Dubai4018 kmDistance to Birmingham1589 kmTime in Birmingham4 35 pm(a) Write the number 4018 in words. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(1)(b) Write down the value of the 7 in the number 9753.(1)(c) Write the number 1589 correct to the nearest hundred.(1)The distance from Dubai is greater than the distance to Birmingham.(d) How many kilometres greater?.km(1)(e) Write 4 35 pm as a time using the 24-hour clock.(1)(Total for Question 1 is 5 marks)*P42938A0320*3Turn over

2 The bar chart shows information about the motorway speed limit in each of ndSingapore050100150Motorway speed limit (km/h)(a) What is the motorway speed limit in France?.km/h(1)(b) In which country is the motorway speed limit 90 km/h?.(1)(c) In Pakistan, the motorway speed limit is 120 km/h.Draw a bar on the bar chart to show this information.(1)(d) Work out the range of the motorway speed limits in the six countries.(2)(Total for Question 2 is 5 marks)Do NOT write in this space.4*P42938A0420*km/h

3 (a) Find a fraction which is equivalent to35. . . . . . . . . . . . . . . . . . . .(1)(b) Write3as a decimal.5. . . . . . . . . . . . . . . . . . . .(1)(c) Write3as a percentage.5. . . . . . . . . . . . . .%(1)(d) Mathsville School has 875 students.3of the students are girls.53(i) Work out of 8755. . . . . . . . . . . . . . . . . . . .(ii) Work out the fraction of the students who are boys. . . . . . . . . . . . . . . . . . . .8% of the students were born in May.(iii) Work out 8% of 875. . . . . . . . . . . . . . . . . . . .(5)(Total for Question 3 is 8 marks)*P42938A0520*5Turn over

4 (a) Here is a shaded quadrilateral drawn on a grid of centimetre squares.(i) Write down the mathematical name of this shaded quadrilateral.(ii) Find the perimeter of this shaded quadrilateral. . . . . . . . . . . . . . . . . . . . . . . . . . .cm(2)(b) Here is another shaded quadrilateral drawn on a grid of centimetre squares.(i) Write down the mathematical name of this shaded quadrilateral.(ii) On this shaded quadrilateral, mark with arrows ( ) a pair of parallel lines.(iii) Find the area of this shaded quadrilateral.(4)6*P42938A0620*cm2

(c) The lines AB and CD are the 2 lines of symmetry of a quadrilateral.The diagram shows part of the quadrilateral.On the grid, complete the drawing of the quadrilateral.CABD(2)(d) A quadrilateral has rotational symmetry of order 4 about the point P.The diagram shows one side of the quadrilateral.On the grid, complete the drawing of the quadrilateral.P(2)(Total for Question 4 is 10 marks)*P42938A0720*7Turn over

5 Here is a sequence of patterns made from white dots and black dots.Patternnumber 1Patternnumber 2Patternnumber 3(a) Draw Pattern number 4(1)(b) Complete the table.Pattern number123Number of white dots246Number of black dots35745(2)8*P42938A0820*

(c) Work out the number of white dots in Pattern number 19.(1)(d) (i) Work out the number of black dots in Pattern number 27.(ii) Explain how you found your answer to part (d)(i). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(e) Work out the Pattern number of the pattern with 65 black dots.Pattern number . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(f) W is the number of white dots in Pattern number n.Write down a formula for W in terms of n.(2)(Total for Question 5 is 10 marks)*P42938A0920*9Turn over

6 (a) Find the value of8.41.(1)(b) Find the value of 7.42.(1)(c) (i) Calculate the cube of 2.7Write down all the figures on your calculator display.(ii) Write your answer to part (c)(i) correct to 3 significant figures.(2)(d) Calculate the value of 24 53.(1)(Total for Question 6 is 5 marks)7 (a) Simplify 5c – 6d – 2c 4d.(2)(b) Solve 4x 5 17x .(2)(Total for Question 7 is 4 marks)10*P42938A01020*

8 A box contains 20 nails.The table shows information about the length of each nail.Length of nail (mm)2530405060Number of nails18452(a) Which length of nail is the mode?.mm(1)(b) Viraj takes at random one nail from the box.Find the probability that the length of the nail he takes is(i) more than 10 mm,.(ii) 40 mm,.(iii) 50 mm or 60 mm,.(iv) less than 35 mm.(7)(Total for Question 8 is 8 marks)Do NOT write in this space.*P42938A01120*11Turn over

Diagram NOTaccurately drawn9 (a)x 38 The diagram shows a right-angled triangle.Work out the value of x.x .(2)(b)Diagram NOTaccurately drawn58 79 107 Three of the angles of a quadrilateral are 79 , 107 and 58 Work out the size of the fourth angle of the quadrilateral.(2)(Total for Question 9 is 4 marks)Do NOT write in this space.12*P42938A01220*

10 Jean has a car.Last year, the costs of running her car were 4200 and 0.16 for every kilometre the cartravelled.Last year, the total cost of running her car was 5772Work out the number of kilometres the car travelled last year.(Total for Question 10 is 3 marks)11 (a) Simplify 5c 4c.(1)(b) Factorise 4x x2.(2)(c) Work out the value of y3 5y when y 2.(2)(Total for Question 11 is 5 marks)*P42938A01320*13Turn over

y151210Q5OP51015 x(a) Describe fully the single transformation which maps triangle P onto triangle Q. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(3)(b) On the grid, translate triangle Q 8 units to the left and 2 units up.Label the new triangle R.(1)(Total for Question 12 is 4 marks)Do NOT write in this space.14*P42938A01420*

13 Here is a list of the ingredients needed to make leek and potato soup for 6 people.Leek and Potato SoupIngredients for 6 people900 ml chicken stock900 ml water750 g leeks350 g potatoes350 g onions(a) Find the ratio of the weight of leeks to the weight of potatoes.Give your ratio in its simplest form.(2)(b) Ainsley wants to make leek and potato soup for 13 people.Work out the amount of chicken stock he needs. . . . . . . . . . . . . . . . . . . . .ml(2)(c) Delia makes leek and potato soup for a group of people.She uses 1250 g of leeks.Work out the number of people in the group.(2)(Total for Question 13 is 6 marks)*P42938A01520*15Turn over

14 A plane flew from Frankfurt to Hong Kong.The flight time was 10 hours 45 minutes.The average speed was 852 km/h.Work out the distance the plane flew.km(Total for Question 14 is 3 marks)15Diagram NOTaccurately drawn7.8 cmx cm43 Work out the value of x.Give your answer correct to 3 significant figures.x .(Total for Question 15 is 3 marks)Do NOT write in this space.16*P42938A01620*

16 A box contains 80 tea bags.The table shows information about the weight of each tea bag.Weight (w grams)Number oftea bags2.8 w - 2.922.9 w - 3.043.0 w - 3.1223.1 w - 3.2323.2 w - 3.3143.3 w - 3.46(a) Work out the percentage of the 80 tea bags that weigh more than 3.1 grams.%(2)(b) Work out an estimate for the total weight of the 80 tea bags.Use halfway values of 2.85 grams, 2.95 grams, .grams(3)(Total for Question 16 is 5 marks)*P42938A01720*17Turn over

17 (a) Write 23 24 as a single power of 2.(1)(b) 280 2n 5 7Find the value of n.n .(2)(Total for Question 17 is 3 marks)18 (a)–3–2–10123456xAn inequality is shown on the number line.Write down this inequality.(2)(b) (i) Solve the inequality 2( y – 3) . 1.(ii) Write down the lowest integer which satisfies this inequality.(4)(Total for Question 18 is 6 marks)18*P42938A01820*

19TQDiagram NOTaccurately drawn58 POT is a point on a circle, centre O.Q is a point such that angle QTO 58 P is the point such that OP is parallel to QT and PT is a tangent to the circle.Work out the size of angle OPT. (Total for Question 19 is 3 marks)TOTAL FOR PAPER IS 100 MARKSDo NOT write in this space.*P42938A01920*19

BLANK PAGEDo NOT write on this page20*P42938A02020*

Jan 10, 2014 · 13 Here is a list of the ingredients needed to make leek and potato soup for 6 people. Leek and Potato Soup Ingredients for 6 people 900 ml chicken stock 900 ml water 750 g leeks 350 g potatoes 350 g onions (a) Find the ratio of the weight of leeks to the weight of potatoes. Give your ratio in its simplest form.

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