AQA Level 2 Certificate in Further Mathematics Specimen Assessment Materials 8360. Predictor Questions with Marking Scheme Structured. Graded A+... Further Mathematics Level 2 Specimen Paper 1.

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Contents Background Information 4 Introduction 4 Paper 1 (Non-Calculator) 5 Mark Scheme 19 Paper 2 (Calculator) 29 Mark Scheme 4 Background Information Introduction This Level 2 Certifica... te in Further Mathematics qualification fills the gap for high achieving students by assessing their higher order mathematical skills, particularly in algebraic reasoning, in greater depth without infringing upon AS Level mathematics, thus preparing them fully to maximise their potential in further studies at Level 3. It offers the opportunity for stretch and challenge that builds on the Key Stage 4 curriculum and is intended as an additional qualification to the GCSE Mathematics, rather than as a replacement. The content assumes prior knowledge of the Key Stage 4 Programme of Study and covers the areas of algebra and geometry, which are crucial to further study in the subject, in greater depth and breadth. This new qualification places an emphasis on higher order technical proficiency, rigorous argument and problem solving skills. It also gives an introduction to calculus and matrices and develops further skills in trigonometry, functions and graphs. The AQA Level 2 Certificate in Further Mathematics is an untiered Level 2 linear qualification for learners who either already have, or are expected to achieve grades A and A* in GCSE mathematics are likely to progress to A-Level study in mathematics and possibly further mathematics. It will be graded on a five-grade scale: A* with Distinction (A^), A*, A, B and C. The qualification is designed to be assessed as a full Level 2 mathematics qualification in its own right and is therefore not dependent on GCSE mathematics. Therefore there are no prior learning requirements but there is the expectation that candidates have some assumed knowledge. The specification content is set out in six distinct topic areas although questions will be asked that range across these topics. Number Algebra Co-ordinate Geometry (2 dimensions only) Calculus Matrix Transformations Geometry Papers These specimen papers have been designed to exemplify the question papers, to be set for our Level 2 Certificate in Further Mathematics Specification, for first qualification in June 2012. The associated mark scheme follows each paper. The question papers should be read in conjunction with AQA Level 2 Certificate in Further Mathematics Specification 2011 onwards. This specification is available on the website http://web.aqa.org.uk/qual/igcse/maths.php The question papers are intended to represent the length and balance of the papers that will be set for the examination and to indicate the types of questions that will be used. It must be emphasised, however, that the questions have not been subjected to the rigorous review that would take place with questions before use in examination. Mark schemes Principal Examiners have prepared these mark schemes for specimen papers. These mark schemes have not, therefore, been through the normal process of s Volume of sphere = 43 r3 Surface area of sphere = 4r2 Volume of cone = 13 r2 h Curved surface area of cone = r l In any triangle ABC Area of triangle = 12 ab sin C Sine rule sin A a = sinB b = sinC c Cosine rule a2 = b2 + c2 – 2bc cos A cos A = bc b c a 2 2 2 2   The Quadratic Equation The solutions of ax2 + bx + c = 0, where a  0, are given by x = a b b ac 2 _  ( 2 _ 4 ) Trigonometric Identities tan   θθ cos sin sin2  + cos2   1 r Page 63 Turn over  8360/1 Answer all questions in the spaces provided. 1 (a) Solve 7(3x  1) + 2(x + 7) = 3(6x 1) ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ….……………………………………………………………………………………………. ………………………………………………………………………………………………. Answer x = ................................................................. (4 marks) 1 (b) Solve 3x  10 = 4 ….……………………………………………………………………………………………. ….………………………… [Show More]

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