1. GCSE Additional Mathematics Information Seminar Tullylagan House Hotel 2 nd December 2009

2. Agenda Welcome and introductions Facts and Figures Advice for candidates Reports on Paper 1 Paper 2 Questions and Answers

3. Facts and Figures Specification has been examined since 2004 Stable entry – around 3500 candidates Will be available in its current form in 2011 CCEA is committed to having an equivalent specification as long as demand exists There will be an opportunity for everyone to make a contribution to the revision of the specification in some form or other.

7. Advice for Candidates 1 Advice is given in the micro-site Chief examiner’s reports are also available in the micro-site In general: Method; Accuracy; Timing; Formulae; Cancelled work;

8. Advice for Candidates 2  Notation;  Calculators;  Layout of answers;  Linked questions;  Sketches;  Given results.

9. ADDITIONAL MATHEMATICS PAPER 1 2009

10. GENERAL ADVICE Make sure the calculator is in degree mode Show ALL the working in each question Use a ruler to draw straight lines Take a new page for each question (starting on the left side for the long questions)

11. REVIEW OF LAST YEAR Questions well done : 2, 3, 4, 6,8,9 Parts of questions causing problems : 1, 7, 10 Questions poorly done : 5, 11

12. AREAS FOR IMPROVEMENT Use the formula sheet Organise the working Present the working clearly and logically Check answers if possible (Q2, 3, 6, 7c, 9, 10) Attempt all the questions

13. SOME TIPS Highlight key words on the examination paper : Questions 1, 2, 3, 6, 9, 11 Hence Question 5 Tangent, Parallel, Equation Question 9 3 decimal places, Assumption Question 11 Show, Area Do some complete 2 hour papers to get an idea of managing the time

14. Paper 1 Question 1 Be more accurate Be careful to draw a smooth curve Show any turning points properly Show clearly where the curve cuts the axes Practice transforming trig graphs in Maths

15. Paper 1 Question 2 Make sure the calculator is in DEGREE mode Remember there are usually 2 solutions Solve the equations in the given range Check that your answers work Use your answers from (i) as a starting point and then form and solve algebra equations in (ii)

16. Paper 1 Question 3 Use the formula sheet Don’t forget the determinant Make sure the matrix method is set up properly Make sure the order of multiplication is correct Write the solutions explicitly Check that the answers work

17. Paper 1 Question 4 Must know the difference between differentiation and integration Change the fractional x term to a negative index first y = 5x 3 -3/x 5 y = 5x 3 -3x -5 Then differentiate (or integrate) Remember to include the constant of integration Check the formula sheet

18. Paper 1 Question 5 Show your method Need to know the links : Parallel → Same Gradient Equation of a straight line → m = 12 Gradient of a curve → Differentiation Do plenty of examples

19. Paper 1 Question 6 Show correct method Give a clear proof by expanding each bracket correctly and simplifying explicitly Put brackets round expanded expressions Be careful with the ‘-’ sign – ( – 3x 2 + 17x – 10 ) Should use the given expression to solve the equation Check the answers

20. Paper 1 Question 7 Need to know relationship between logs and indices (given on formula sheet) You must have log( )+ log( ) before you can write this as a single logarithm You must write √c = c ½ You must keep brackets around (2 – 3x) in the second line of your solution

21. Paper 1 Question 8 Use the formula sheet Draw and label each triangle separately as appropriate Write each answer on the diagram on the question paper Check marks awarded when finding an angle Show full method

22. Paper 1 Question 9 State the log equation explicitly Give log values to 3 decimal places Axes must be labelled correctly Plot all the points Use algebra with these values to calculate the unknowns Check that the answers fit the given data State the assumption made

23. Paper 1 Question 10 You must not start with the given equations and work back Show all the working and cancelling Solve the given equations, even if you can’t prove them Show all work including the substitutions Check that the solutions are correct Before doing (v), write out the numerical answers found

24. Paper 1 Question 11 You must start with the given equation and work out the values of a and b Clear evidence must be given to justify maximum and minimum Plot the turning points on the graph as soon as you find them (iv) x = 0 is an answer and must be explicitly stated. Plot the intercepts on the x axis as soon as you find them The positive value for the area must be given

25. ADDITIONAL MATHEMATICS PAPER 2 2009

26. Paper 2 Question 1 F = ma Equating vector components

27. Paper 2 Question 2 Frequency density calculated correctly Axes marked clearly with continuous scales False origin

28. Paper 2 Question 3 Trapezium shape Retardation steeper than acceleration Graph or formula

29. Paper 2 Question 4 Boundaries v limits Class widths

30. Paper 2 Question 5 Mean formula Median formula or similar triangles

31. Paper 2 Question 6 sin/cos resolution g balanced equations

32. Paper 2 Question 7 5 point moving averages All points calculated All points plotted accurately Accurate reading from correct place and using this value correctly

33. Paper 2 Question 8 Clearly labelled diagrams State points about which moments are taken Must create moment equations Moments require force × distance g Reactions

34. Paper 2 Question 9 Played club match 3 weeks

35. Paper 2 Question 10 Not limiting equilibrium sin/cos Force equations F=µR must use frictional force Proof requires logical steps Implication of angle change

36. Paper 2 Question 11 g What happens when released from rest? Compatible equations (v) and (vi) new acceleration

37. Paper 2 Question 12 Do not rearrange original data Some students still confused with tied ranks Correct use of given formula Line of best fit must be drawn through the means Equation of line of best fit must use points on the line

38. Any Questions? Contacts at CCEA:  Joe McGurk Emailjmcgurk@ccea.org.uk@ccea.org.uk Telephone: 028 90261443 Nuala Braniff Emailnbraniff@ccea.org.uk@ccea.org.uk Telephone: 028 90261200 Ext 2292