Mathematics Module N4 Paper 1 (Non-calculator) Higher Tier pm 2.30 pm [GMN41] 1 hour.
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1 Centre Number 71 Candidate Number General Certificate of Secondary Education 2009 Mathematics Module N4 Paper 1 (Non-calculator) Higher Tier [GMN41] GMN41 MONDAY 18 MAY 1.30 pm 2.30 pm TIME 1 hour. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Write your answers in the spaces provided in this question paper. Answer all eleven questions. Any working should be clearly shown in the spaces provided since marks may be awarded for partially correct solutions. You must not use a calculator for this paper. INFORMATION FOR CANDIDATES The total mark for this paper is 44. Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. You should have a ruler, compasses, set-square and protractor. The Formula Sheet is on page For Examiner s use only Question Number Total
2 Formula Sheet Area of trapezium = 1 2 (a + b)h a h b Volume of prism = area of cross section length In any triangle ABC Cross section A length Area of triangle = 1 2 ab sin C a b c Sine rule : = = sin A sin B sin C Cosine rule: a 2 = b 2 + c 2 2bc cos A B c a b C Volume of sphere = 4 3 πr 3 Surface area of sphere = 4πr 2 r Volume of cone = 1 3 πr 2 h Curved surface area of cone = πrl l r h Quadratic equation: The solutions of ax 2 + bx + c = 0, where a 0, are given by x = 2 b± b 4ac 2a [Turn over
3 1 (a) Expand and simplify (3x 2)(2x + 1) Answer [2] (b) Solve the simultaneous equations 3x 2y = 14 0x + 2y = 10 Show your working. A solution by trial and improvement will not be accepted. Answer x =, y = [2] 2 Calculate Answer [3] 2x + 1 x Solve the equation = Show your working. A solution by trial and improvement will not be accepted. Answer x = [4] [Turn over
4 4 A glacier is losing 20% of its volume each year. What % of its original volume will be left after 3 years? Answer % [2] 5 30 B Diagram not drawn accurately A 50 O C D T O is the centre of a circle and A, B, C and D are points on the circumference of the circle. TA is a tangent to the circle. Angle BAD is 50. Angle ABO is 30. Calculate the size of (a) angle OAT, Answer [1] (b) angle BCD, Answer [1] (c) angle BOD, Answer [1] (d) angle TAD. Answer [2] [Turn over
5 6 (a) Factorise x 2 4 Answer [1] (b) Hence simplify x 2 4 2x 2 x 6 Answer [3] 7 Which of the three measures of central tendency ( average ) would be of most use to a shoe shop manager when placing an order for more shoes? Give a reason for your answer. Answer because [2] 8 Write down the equation of the straight line which passes through the point (0, 2) and is perpendicular to the line with equation y = 3x. Answer [2] 9 Evaluate (a) Answer [2] (b) Answer [2] [Turn over
6 10 The table gives information about the weights of schoolbags. Weight, w kg Number of schoolbags 2.0 w w w w w (a) Illustrate the data by drawing a histogram on the graph paper opposite, using the scale provided. [3] (b) A stratified sample of 20 schoolbags was taken from those whose weight was less than 4.0 kg. (i) How many of the sample were taken from the class interval 3.0 w 3.5? Answer [2] (ii) In this stratified sample, half the schoolbags weighed less than 3.2 kg. Estimate how many of the original full set of schoolbags weighed 3.2 kg or more. Answer [2] [Turn over
7 Weight, w kg 11 Solve the simultaneous equations y = x 2 + 3x 2 and 3x + 2y = 22. Answer [7] [Turn over
8 Centre Number 71 Candidate Number General Certificate of Secondary Education 2009 Mathematics Module N4 Paper 2 (With calculator) Higher Tier [GMN42] GMN42 MONDAY 18 MAY 2.45 pm 3.45 pm TIME 1 hour. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Write your answers in the spaces provided in this question paper. Answer all nine questions. Any working should be clearly shown in the spaces provided since marks may be awarded for partially correct solutions. INFORMATION FOR CANDIDATES The total mark for this paper is 44. Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. You should have a calculator, ruler, compasses, set-square and protractor. The Formula Sheet is on page For Examiner s use only Question Number Total
9 Formula Sheet Area of trapezium = 1 2 (a + b)h a h b Volume of prism = area of cross section length In any triangle ABC Cross section A length Area of triangle = 1 2 ab sin C a b c Sine rule : = = sin A sin B sin C Cosine rule: a 2 = b 2 + c 2 2bc cos A B c a b C Volume of sphere = 4 3 πr 3 Surface area of sphere = 4πr 2 r Volume of cone = 1 3 πr 2 h Curved surface area of cone = πrl l r h Quadratic equation: The solutions of ax 2 + bx + c = 0, where a 0, are given by x = 2 b± b 4ac 2a [Turn over
10 1 Calculate the volume of a sphere of diameter 70 cm. Answer [3] [Turn over
11 2 Peter is a gardener. He recorded how much money he earned each week for 40 weeks. Money in (m) Frequency Money in Cumulative Frequency 180 m < < m < < m < < m < m < m < m < (a) Complete the table. [1] (b) Draw the cumulative frequency graph on the opposite page. [3] (c) Use the graph to estimate (i) the median, Answer [1] (ii) the inter-quartile range, Answer [2] (iii) in how many weeks Peter earned more than 225. Answer weeks [2] (d) The lowest amount Peter earned was 185 and the highest amount was 315. Draw a box plot opposite to illustrate Peter s earnings. [3] [Turn over
12 40 30 Cumulative frequency Money in less than [Turn over
13 3 Explain the difference between discrete data and continuous data and give one example of each. [2] 4 B 8 cm C Diagram not drawn accurately 5 cm 22 A cm D ABCD is a quadrilateral. AB = 8 cm, AD = 10 cm, CD = 5 cm. Angle BAD = 80 and angle BDC = 22. Calculate (a) the length of BD, Answer cm [3] (b) the area of triangle BCD. Answer cm 2 [2] [Turn over
14 5 A man walks x km East and then (x + 8) km North. He is now 12 km from his starting point. (a) Show that x satisfies the equation x 2 + 8x 40 = 0 [3] (b) Solve the equation to find x, giving your answer correct to 3 significant figures. Answer x = [3] [Turn over
15 6 (a) D Diagram not drawn accurately E 14 cm B 24 cm F C 7 cm A ABC and BDE are similar triangles. BE = 14 cm, BC = 24 cm, AC = 7 cm Find the length of DE. Answer cm [2] [Turn over
16 (b) The diagram below shows the frustum of a cone. The circular top of the frustum, centre E, is of radius 14 cm. The circular base of the frustum, centre F, is of radius 21 cm. E 14 cm B 24 cm F C 7 cm A Using the answer found in part (a), find the volume of the frustum of the cone. Answer cm 3 [4] [Turn over
17 7 The equation 3x 2 = 1 N can have rational or irrational solutions. (a) Write down a value for N which gives rational solutions. Answer N = [1] (b) Write down a value for N which gives irrational solutions. Answer N = [1] (c) Write down a value for N which gives no solutions. Answer N = [1] 8 Given that (x + b) 2 x 2 10x + c, find the values of b and c. Answer b = [3] c = [3] [Turn over
18 9 K J L I G E H D F C A B ABCDEF, GHIJKL, the base and top of the prism, are regular hexagons. AB = 20 cm, AG = 30 cm. Calculate the angle between AJ and the base ABCDEF. Answer [4] THIS IS THE END OF THE QUESTION PAPER
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More informationPaper Reference. Edexcel GCSE Mathematics (Modular) 2381 Paper 13 (Non-Calculator) Unit 3 Friday 2 March 2012 Afternoon Time: 1 hour 10 minutes
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
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Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark General Certificate of Secondary Education Higher Tier November 2014 Mathematics
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Write your name here Surname Other names Centre Number Candidate Number Edexcel GCSE Methods in Mathematics Unit 2: Methods 2 Practice Paper Time: 1 hour 45 minutes Higher Tier Paper Reference 5MM2H/01
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For Edexcel Name GCSE Mathematics Paper 4H (Calculator) Higher Tier Time: 1 hour and 45 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions
More informationYou 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 3H Thursday 26 May 2016 Morning Time: 2 hours Centre Number Candidate Number
More informationYou 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 Edexcel International GCSE Mathematics A Paper 4HR Tuesday 21 May 2013 Morning Time: 2 hours Centre Number Candidate Number Higher Tier Paper Reference 4MA0/4HR
More informationUnit 3: Number, Algebra, Geometry 2 (Calculator)
Write your name here Surname Other names Edexcel GCSE Centre Number Candidate Number Mathematics B Unit 3: Number, Algebra, Geometry 2 (Calculator) Wednesday 6 March 2013 Morning Time: 1 hour 45 minutes
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Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 3HR Thursday 21 May 2015 Morning Time: 2 hours Centre Number Candidate Number Higher Tier Paper Reference
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For Edexcel Name GCSE Mathematics Paper 4C (Calculator) Higher Tier Time: 1 hour and 45 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions
More informationPaper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
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 Monday 18 May 2009
More informationYou 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 International GCSE Mathematics A Paper 3HR Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number Higher Tier Paper Reference
More informationGCSE 4370/05 MATHEMATICS LINEAR PAPER 1 HIGHER TIER
Surname Centre Number Candidate Number Other Names 0 GCSE 4370/05 MATHEMATICS LINEAR PAPER 1 HIGHER TIER A.M. WEDNESDAY, 6 November 2013 2 hours CALCULATORS ARE NOT TO BE USED FOR THIS PAPER For s use
More informationPaper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 4 (Calculator) Monday 14 November 2011 Morning Time: 1 hour 45 minutes
Centre No. Candidate No. Paper Reference 1 3 8 0 4 H Surname Signature Paper Reference(s) 1380/4H Edexcel GCSE Mathematics (Linear) 1380 Paper 4 (Calculator) Higher Tier Monday 14 November 2011 Morning
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Write your name here Surname Other names Edexcel GCSE Centre Number Candidate Number Mathematics B Unit 3: Number, Algebra, Geometry 2 (Calculator) Mock paper Time: 1 hour 45 minutes Higher Tier Paper
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Centre No. Paper Reference Surname Initial(s) Candidate No. 5 5 2 5 0 5 Signature Paper Reference(s) 5525/05 Edexcel GCSE Mathematics A 1387 Paper 5 (Non-Calculator) Higher Tier Examiner s use only Team
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Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 3H Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number
More informationH. London Examinations IGCSE
Centre No. Candidate No. Paper Reference 4 4 0 0 3 H Surname Signature Initial(s) Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Monday 10 May 2004 Morning Time:
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Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 3HR Friday 10 January 2014 Morning Time: 2 hours Centre Number Candidate Number Higher Tier Paper Reference
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Write your name here Surname Other names Pearson Edexcel GCSE Time: 1 hour 45 minutes Centre Number November 2016 Predicted Paper 1 Candidate Number Higher Tier Paper Reference 1MA0/1H You must have: Ruler
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Centre No. Candidate No. Surname Signature: Mr.Demerdash Initial(s) Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Thursday 12 May 2005 Morning Time: 2 hours Materials
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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
More informationGCSE 185/05. MATHEMATICS (2 Tier) HIGHER TIER PAPER 2. P.M. MONDAY, 2 June hours. Candidate Name. Centre Number.
Candidate Name Centre Number 0 Candidate Number GCSE 185/05 MATHEMATICS (2 Tier) HIGHER TIER PAPER 2 P.M. MONDAY, 2 June 2008 2 hours For Examiner s use Question Maximum Mark Mark Awarded ADDITIONAL MATERIALS
More information184/09 MATHEMATICS HIGHER TIER PAPER 1. A.M. TUESDAY, 7 November (2 Hours) CALCULATORS ARE NOT TO BE USED FOR THIS PAPER
Candidate Name Centre Number Candidate Number WELSH JOINT EDUCATION COMMITTEE General Certificate of Secondary Education CYD-BWYLLGOR ADDYSG CYMRU Tystysgrif Gyffredinol Addysg Uwchradd 184/09 INSTRUCTIONS
More informationGCSE 4353/02 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics HIGHER TIER
Surname Centre Number Candidate Number Other Names 0 GCSE 4353/02 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics HIGHER TIER A.M. TUESDAY, 14 June 2016 1 hour 45 minutes S16-4353-02
More informationPaper Reference. London Examinations IGCSE Mathematics Paper 3H. Higher Tier. Thursday 15 May 2008 Morning Time: 2 hours
Centre No. Candidate No. Paper Reference 4 4 0 0 3 H Surname Signature Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Thursday 15 May 2008 Morning Time: 2 hours Initial(s)
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