Pearson Centre Number Candidate Number Edexcel Award Algebra
Write your name hereSurnameOther namesPearsonEdexcel AwardCentre NumberCandidate NumberAlgebraLevel 3Calculator NOT allowedMonday 12 May 2014 – MorningTime: 2 hoursPaper ReferenceAAL30/01You must have: Ruler graduated in centimetres and millimetres,pair of compasses, pen, HB pencil, eraser.Total MarksInstructionsblack ink or ball-point pen. Usein the boxes at the top of this page with your name, Fillcentre number and candidate number.Answerall questions. Answer thein the spaces provided – there may bequestionsmore space than you need. Calculators are not allowed.Informationtotal mark for this paper is 90 Thefor each question are shown in brackets – Theusemarksthis 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.P43632A 2014 Pearson Education Ltd.5/5/5/3/*P43632A0120*Turn over
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Answer ALL questions.Write your answers in the spaces provided.You must write down all stages in your working.You must not use a calculator.1(a) Expand and simplify (3x 2)(x – 2). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Simplify (x–2)3.(1)12 2(c) Simplify (4y ).(d) Simplify(1)2x 9x 4x 32. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(3)(Total for Question 1 is 7 marks)*P43632A0320*3Turn over
2(a) Complete the table of values for y x3 – 3x – 2xy–2–101–2–423(2)(b) On the grid opposite, draw the graph of y x3 – 3x – 2 for values of x from –2 to 3(2)(c) Use your graph to find an estimate, to one decimal place, for the solution of x3 – 3x 5.(2)4*P43632A0420*
(Total for Question 2 is 6 marks)*P43632A0520*5Turn over
3The line L is given by the equation 3y – 2x 24(a) Write the equation for L in the form y mx c.(2)(b) Find an equation of the line parallel to line L and which passes through the point (3, 3). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 3 is 4 marks)6*P43632A0620*
4Here is a formulaw h(t 2 3t 9)3(a) Find the value of w when h 6 and t 3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Find the values of t when w 36 and h 9p qwhere p, q and r are integers.Give your answer in the formr. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(4)(Total for Question 4 is 6 marks)*P43632A0720*7Turn over
5On the grid, shade the region that satisfies all these inequalitiesy –2x y 3y 2x 1Label the region R.y4321–3–2–1 O1234567x–1–2–3–4(Total for Question 5 is 5 marks)8*P43632A0820*
6Here are the first four terms of an arithmetic sequence.8111417(a) Write an expression, in terms of n, for the nth term of this sequence. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Find the difference between the 62nd term and the 63rd term of this sequence.(1)(c) Find the sum of the first 20 terms of this sequence.(2)(Total for Question 6 is 5 marks)7(a) Factorise 14a2b3 – 21a3b. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(b) Factorise xy – 2y 5x – 10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(2)(Total for Question 7 is 4 marks)*P43632A0920*9Turn over
8Solve the simultaneous equationsx 4y 7x2 2y 26.(Total for Question 8 is 6 marks)10*P43632A01020*
9Solve x2 – 5x 4 0. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 9 is 3 marks)10 For a quadratic equationthe sum of its roots is –2.5the product of its roots is 3.5Write the quadratic equation in the form ax2 bx c 0 where a, b and c are integers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 10 is 3 marks)*P43632A01120*11Turn over
11 (a) Write the quadratic expression x2 – 7x 6 in the form (x a)2 b where a and bare fractions.(2)(b) Sketch the graph of y x2 – 7x 6You must label, with coordinates, the points of intersection with the axesand any turning points.(3)(Total for Question 11 is 5 marks)12*P43632A01220*
12 Make g the subject of the formula h 3g 2g 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 12 is 4 marks)13 (a) Work out the discriminant of 3x2 5x 18 10.(3)(b) State what your answer tells you about the roots of 3x2 5x 18 10(1)(Total for Question 13 is 4 marks)*P43632A01320*13Turn over
14 The first term of an arithmetic series is 4The sum of the first 40 terms is 2500Work out the common difference of the series.(Total for Question 14 is 3 marks)15 On the grid, construct the graph of x2 9 – y2y654321–6–5–4–3–2–1 O123456 x–1–2–3–4–5–6(Total for Question 15 is 3 marks)14*P43632A01420*
16y105–6–4–2O246xUse the trapezium rule to find the area of the region under the curve and between x 0,y 0 and x 3Use 3 strips of equal width. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(Total for Question 16 is 3 marks)*P43632A01520*15Turn over
17 (a) Write 1 1as a single fraction.5Give your answer in the formp qwhere p, q and r are integers.r. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .(b) Rationalise the denominator of(3)204 6Give your answer in the form m k n where m, k and n are integers.(3)(Total for Question 17 is 6 marks)16*P43632A01620*
18 Here is a speed-time graph.109876Speed(m/s)543210012345Time (seconds)(a) Work out the acceleration during the first 2 seconds.(2)m/s²(b) Work out the total distance travelled in the first 3 seconds.(3)m(Total for Question 18 is 5 marks)*P43632A01720*17Turn over
19 The graph of y f(x) is shown on the grid.(a) On the grid, sketch the graph of y f(x) 20*
The graph of y g(x) is shown on the grid below.(b) On the grid, sketch the graph of y g(–x)y42–6–4–2O246x–2–4(2)(Total for Question 19 is 4 marks)*P43632A01920*19Turn over
20 Given that y µx1, complete the table of values.x2123y40.75(Total for Question 20 is 4 marks)TOTAL FOR PAPER IS 90 MARKS20*P43632A02020*
centre number and candidate number. . Edexcel Award. 2 *P43632A0220* BLANK PAGE e x e m p l a r e x e m p l a r D R A F T D R A F T *P43632A0320* 3 Turn over Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. You must Not use a calculator.
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Pearson Education LTD. Pearson Education Australia PTY, Limited. Pearson Education Singapore, Pte. Ltd. Pearson Education North Asia, Ltd. Pearson Education Canada, Ltd. Pearson Educatión de Mexico, S.A. de C.V. Pearson Education—Japan Pearson Education Malaysia, Pte. Ltd. Library of Co
Centre Number Candidate Number Write your name here Surname Other names Total Marks Paper Reference S54261A 2017 Pearson Education Ltd. 1/1/1/1/1/1/1/ *S54261A0125* Mathematics . Pearson Edexcel Level 3 GCE Turn over Candidates may use any calculator permitted by Pearson regulations.
Centre Number Candidate Number Write your name here Surname Other names Total Marks Paper Reference S54261A 2017 Pearson Education Ltd. 1/1/1/1/1/1/1/ *S54261A0125* Mathematics . Pearson Edexcel Level 3 GCE Turn over Candidates may use any calculator permitted by Pearson regulations.
Centre Number Candidate Number Write your name here Surname Other names Total Marks Paper Reference Turn over Sample assessment material for first teaching September 2017 Time: 1 hour 15 minutes Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number.
Pearson (UK) 80 Strand, London WC2R 0RL, UK T 44 (0)20 7010 2000 F 44 (0)20 7010 6060 firstname.lastname@pearson.com www.pearson.com Pearson (US) 1330 Avenue of the Americas, New York City, NY 10019, USA T 1 212 641 2400 F 1 212 641 2500 firstname.lastname@pearson-inc.com www.pearson.com Pearson Education One Lake Street, Upper Saddle River,
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Pearson Edexcel International Advanced Level P56147A *P56147A0128* 2019 Pearson Education Ltd. 1/1/1/1/1/ Turn over Instructions Use black ink or ball‑point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided
