Paper Reference. Edexcel GCSE Mathematics (Modular) 2381 Paper 13 (Non-Calculator) Unit 3 Friday 2 March 2012 Afternoon Time: 1 hour 10 minutes

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1 Centre No. Candidate No. Paper Reference 5384H 13H Surname Signature Paper Reference(s) 5384H/13H Edexcel GCSE Mathematics (Modular) 2381 Paper 13 (Non-Calculator) Higher Tier Unit 3 Friday 2 March 2012 Afternoon Time: 1 hour 10 minutes Initial(s) Examiner s use only Team Leader s use only Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Items included with question papers Nil Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. Write your answers in the spaces provided in this question paper. You must NOT write on the formulae page. Anything you write on the formulae page will gain NO credit. If you need more space to complete your answer to any question, use additional answer sheets. Information for Candidates The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). There are 16 questions in this question paper. The total mark for this paper is 60. There are 16 pages in this question paper. Any pages are indicated. Calculators must not be used. Advice to Candidates Show all stages in any calculations. Work steadily through the paper. Do not spend too long on one question. If you cannot answer a question, leave it and attempt the next one. Return at the end to those you have left out. This publication may be reproduced only in accordance with Pearson Education Ltd copyright policy Pearson Education Ltd. Printer s Log. No. P40636A W850/R5384H/ /6/7 *P40636A0116* Turn over

2 GCSE GCSE Mathematics Mathematics 2AM01 Formulae Higher Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. Volume of prism = area of cross section length 1 Area of trapezium = 2 (a + b)h cross section h a length b Volume of sphere = 4 r 3 3 Surface area of sphere =4 r 2 Volume of cone = 1 r 3 2 h Curved surface area of cone = rl r l h r In any triangle ABC A b c C a B The Quadratic Equation The solutions of ax 2 + bx + c = 0 where a 0, are given by 2 ± ( 4 ) x = b b ac 2a Sine Rule a b c = = sin A sin B sin C Cosine Rule a 2 = b 2 + c 2 2bc cos A Area of triangle = 1 ab sin C 2 2 *P40636A0216*

3 Answer ALL SIXTEEN questions. 1. Sweets are sold in bags and in tins. There are 20 sweets in a bag. There are 30 sweets in a tin. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. Lee buys B bags of sweets and T tins of sweets. He buys a total of S sweets. Write down a formula for S in terms of B and T.... Q1 (Total 3 marks) 2. Abbey, Denby and Winton are three villages. The three villages have a total population of 3500 Denby has four times the population of Abbey. Winton has half the population of Denby. What is the population of Winton?... Q2 (Total 3 marks) *P40636A0316* 3 Turn over

4 3. 4x + 7 Diagram NOT accurately drawn 2x 4 2x + 1 The diagram shows a triangle. The sizes of the angles, in degrees, are 4x + 7 2x + 1 2x 4 (i) Write down an equation, in terms of x, for the sum of the angles of the triangle. (ii) Work out the value of x.... x =... (Total 4 marks) Q3 4 *P40636A0416*

5 4. The diagram shows a sketch of a square-based pyramid. The pyramid has eight edges. Each edge has a length of 4 cm. 4 cm 4 cm Diagram NOT accurately drawn 4 cm 4 cm In the space below, draw accurately a net of the pyramid. Q4 (Total 4 marks) *P40636A0516* 5 Turn over

6 5. In the space below, use a ruler and compasses to construct the perpendicular from point P to the line AB. You must show all your construction lines. P A B Q5 (Total 2 marks) 6. Mark says Is Mark right? Give reasons for your answer. 8 cm 3 multiplied by 100 equals 8 m Q6 (Total 2 marks) 6 *P40636A0616*

7 7. (a) Complete the table of values for y = 2x 2 + x 2 x y 4 1 (2) (b) On the grid, draw the graph of y = 2x 2 + x 2 y O x 2 3 (2) (c) Use your graph to write down estimates of the solutions of the equation 2x 2 + x 2 = 0... (2) Q7 (Total 6 marks) *P40636A0716* 7 Turn over

8 8. Fred buys 18 tins of polish costing 2.37 each. (a) Work out the total cost.... (3) A vacuum cleaner costs 85 Fred gets 10% off the price of the vacuum cleaner. (b) Work out how much he has to pay.... (3) Q8 (Total 6 marks) 8 *P40636A0816*

9 9. (a) Solve 13x + 1 = 11x + 8 (b) Show that y = 2 is a solution of the equation 4 y + y = 2y x =... (2) (2) Q9 (Total 4 marks) 10. Jim has only 5p coins and 10p coins. The ratio of the number of 5p coins to the number of 10p coins is 2 : 3 Work out the ratio of the total value of the 5p coins : the total value of the 10p coins. Give your answer in its simplest form. :... (Total 2 marks) Q10 *P40636A0916* 9 Turn over

10 11. B E Diagram NOT accurately drawn 4 cm 8 cm 6 cm A C D ACD is a straight line. AB is parallel to CE. BC is parallel to ED. AB = 4 cm. CE = 6 cm. BC = 8 cm. (a) Calculate the length of ED. AD = 25 cm. (b) Calculate the length of AC.... cm (2)... cm (2) Q11 (Total 4 marks) 10 *P40636A01016*

11 12. A Diagram NOT accurately drawn O B 130 C D A, B, C and D are points on a circle, centre O. BC = CD. Angle BCD = 130. (a) Write down the size of angle BAD. Give a reason for your answer.... (2) (b) Work out the size of angle ODC. Give reasons for your answer.... (4) Q12 (Total 6 marks) *P40636A01116* 11 Turn over

12 13. Work out the value of Give your answer in standard form.... Q13 (Total 2 marks) ( )( + ) 14. Expand and simplify Give your answer in the form a+ b 2 where a and b are integers.... Q14 (Total 4 marks) 12 *P40636A01216*

13 15. A y B y O x O x C y D y O x O x E y F y O x O x Each equation in the table represents one of the graphs A to F. Write the letter of each graph in the correct place in the table. Equation Graph y = 4 sin x y = 4 cos x y = x 2 4x + 5 y = 4 2 x y = x y = 4 x *P40636A01316* (Total 3 marks) Q15 13 Turn over

14 16. Here is a shape ABCDE. B A Diagram NOT accurately drawn x cm E C D AB, BC and CD are three sides of a square. BC = x cm. AED is a semicircle with diameter AD. The perimeter, P cm, of the shape ABCDE is given by the formula π x P = 3x + 2 (a) Rearrange this formula to make x the subject.... (2) 14 *P40636A01416*

15 The area, A cm 2, of this shape is given by A = kx 2 where k is a constant. (b) Find the exact value of k. Give your answer in its simplest form.... (3) Q16 (Total 5 marks) TOTAL FOR PAPER: 60 MARKS END *P40636A01516* 15

16 BLANK PAGE 16 *P40636A01616*

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used. Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Tuesday 19 January 2016 Morning Time: 2 hours Candidate Number

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.

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