GCSE Additional Mathematics Information Seminar Corr’s Corner Hotel 3rd February 2011

Agenda Welcome and introductions Tea/Coffee break 10.45am Facts and Figures Advice for candidates Reports on Paper 1 Paper 2 Questions and Answers

Facts and Figures 2009 - 3504 candidates 2008 - 3511 candidates Specification has been examined since 2004 Stable entry – 2010   - 3590 candidates 2009   - 3504 candidates 2008   - 3511 candidates 2007   - 3491 candidates 2006   - 3290 candidates 2005   - 3262 candidates Will be available in its current form in 2012 and 2013 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. Growing entry from mainland centres – currently (2010 entry) 375 candidates from 24 centres - has balanced slight fall in entries from NI. Specification provides stretch and challenge for top GCSE mathematics candidates and acts as a stepping stone to GCE AS Mathematics. Introduction of GCSE 1 and GCSE 2 for teaching from 2010 will be looked at when planning replacement specification.

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; Look under CCEA/Mathematics/Additional Mathematics/Support Materials and Examinations Method: marks are awarded for attempting to use a correct method; candidates should ensure that the method they are using is clear. Trial and improvement is not an acceptable method. Accuracy: work to (at least) one more significant figure/decimal place than required for the final answer. Timing: do not spend too much time on a question if you are not making progress – you have 120 minutes to earn a maximum of 100 marks. Look at the total mark for the question as a guide to the time that should be spent on it. Formulae: know what is in the booklet so you can check you have remembered correctly. Cancelled work: this is not marked; no work should be cancelled. All attempts at a question will be marked and the best mark will be counted.

Advice for Candidates 2 Notation; Calculators; Layout of answers; Linked questions; Sketches; Given results. Notation: use accurate mathematical notation throughout; in particular, brackets. Remember to include the integration constant. Calculators: Be aware that writing down only an answer obtained from a calculator will not be awarded any marks if it is incorrect (are you sure you pressed all the right buttons in the right order?). See ‘Method’ above. Layout of answers: JCQ regulations require candidates to answer in black or blue pen/ballpoint. Pencil should only be used for diagrams. Correcting fluid is not to be used. Linked questions: part questions labelled (i), (ii), etc are linked and follow in sequence – answer to (i) can be used to help in (ii), etc. Part questions labelled (a), (b), etc are independent. “Hence” means the result just obtained should be used. “Hence or otherwise” means that the most straightforward solution can be obtained by using the result just obtained. Sketches: A sketch should clearly indicate the overall shape of the curve; it should not be a graph of a small part of the curve. Given results: Always use given results, even if you have found a different result.

ADDITIONAL MATHEMATICS PAPER 1 2010

GENERAL ADVICE Make sure the calculator is in degree mode Use a ruler to draw straight lines Take a new page for each question (starting on the left side for the long questions) Read each question carefully Be careful copying down numbers Use the formula sheet

GENERAL ADVICE Show all your work clearly, logically and tidily Check your timing Suggest roughly 50 minutes questions 1 to 7 (1 minute more per number of marks) Suggest roughly 65 minutes questions 8 to 11 (2 minutes more per number of marks)

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

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

SOME TIPS Highlight key words on the examination paper : Questions 1, Sketch Questions 2, 3, 6, 9 Hence Question 5 Tangent, Gradient Questions 8 Write down Question 9 Label the axes, 3 decimal places, Assumption Question 11 Show Question 11 Justify, Area

SOME TIPS Do some complete 2 hour papers to get an idea of managing the time Give each student the formula booklet Give students copies of the mark schemes

Tips : Paper 1 Question 1 Draw a smooth curve Show any turning points properly Show clearly where the curve cuts the axes Check points using your calculator 16

Tips : Paper 1 Question 2 Make sure the answers fit the given range Check your answers by substitution Do (ii) as an algebra equation 17

Tips : Paper 1 Question 3 Use the formula sheet Don’t forget the determinant Show clear matrix method Make sure the order of multiplication is correct Check the answers by substitution

Tips : Paper 1 Question 4 Change the fractional x term to a negative index first Then differentiate (or integrate) Be careful subtracting negative numbers Remember to include the constant of integration (look at number of marks) Check the formula sheet

Tips : Paper 1 Question 5 Show your method Need to know the links : Tangent → Differentiation Equation of a straight line → y = mx + c Gradient → Use dy/dx Do plenty of examples

Tips : Paper 1 Question 6 Expand each bracket at the side of the page Put brackets round each expression when you are manipulating the fractions Show ALL your working Check the answers by substitution

Tips : Paper 1 Question 7 Show clearly that you are taking logs in (a) Keep brackets around ( 2/5 x – 3) in the second line of your solution in (a) Use the relationship between logs and indices given on the formula sheet Use log33 = 1 Practice similar questions testing application of log theory ¾

Tips : Paper 1 Question 8 Use the formula sheet Sketch and label each triangle separately Write each new answer on the diagram on the question paper Look at the number of marks awarded when finding an angle

Tips : Paper 1 Question 9 State the log equation explicitly Give all 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 giving a mathematical reason

Tips : Paper 1 Question 10 Don’t 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 Check your working as soon as you get an inexact answer Show all work including the substitutions Check that the solutions are correct by substitution Before doing (v), write out the numerical answers found.

Tips : Paper 1 Question 11 (i) x = 0 is an answer and must be explicitly stated. Differentiate the given equation ( not 2x3 – 3x2 – 14x ) Show working to justify maximum and minimum Use the correct values for the limits when integrating Give the positive value for the area

ADDITIONAL MATHEMATICS PAPER 2 2010

Paper 2 Question 1 Equilibrium F = ma

Paper 2 Question 2 Frequency density calculated correctly Axes marked clearly with continuous scales Accuracy of plot

Paper 2 Question 3 Formula or similar triangles Answer must lie within median class Answer only - must be exact: 3.72/3.69

Paper 2 Question 4 Equilibrium Diagram Resolve horizontally g Resolve vertically

Paper 2 Question 5 22.8 – 4.3 = 18.5 !! Data adjustment Evidence needed

Paper 2 Question 6 Proof Signs Inconsistent values

Paper 2 Question 7 Method Decreasing probabilities 1 – previous answer Clear method

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

Paper 2 Question 9 4 point moving averages All points calculated All points plotted accurately Accurate reading from correct place and using this value correctly Answer all parts of question

Paper 2 Question 10 sin/cos Normal reaction F=µR Proof requires logical steps Diagrams require clearly labelled forces f = ma

Paper 2 Question 11 Ranks Correct use of given formula Best fit line must go through calculated means Points used must be on line

Paper 2 Question 12 Equations of motion Evidence of comparison Graph requires general shape “in terms of t” Finish the question

Any Questions? Contacts at CCEA: Joe McGurk Email jmcgurk@ccea.org.uk Telephone: 028 90261443 Ann Comac Email acomac@ccea.org.uk Telephone: 028 90261402 Nuala Braniff Email nbraniff@ccea.org.uk Telephone: 028 90261200 Ext 2292