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# Maths

### Key Stage 5

 Why study Mathematics? Potential for joint university courses, graduate prospects, transferable skills and salary advantage. How will you be assessed?   PEARSON Edexcel Level 3 Advanced GCE in Mathematics (9MA0) Three externally examined written papers. Students must complete all assessment in May/June, in any single year.   Paper 1: Pure Mathematics 1 (9MA0/01) 2 hours, 33.33% of the qualification and 100 marks. Students must answer all questions and calculators may be used in the assessment.   Paper 2: Pure Mathematics 2 (9MA0/02) 2 hours, 33.33% of the qualification and 100 marks. All the content of the specification for Paper 1 is assumed knowledge for Paper 2 and may also be tested within parts of questions. Students must answer all questions and calculators may be used. Synoptic assessment requires students to work across different parts of a qualification and to show their accumulated knowledge and understanding of a topic or subject area. Synoptic assessment enables students to show their ability to combine their skills, knowledge and understanding with breadth and depth of the subject. This paper assesses synopticity.   Paper 3: Statistics and Mechanics (9MA0/03) 2 hours, 33.33% of the qualification and 100 marks. The assessment comprises two sections: Section A – Statistics and Section B – Mechanics. Students must answer all questions and calculators may be used in the assessment. All of the content of the specification for Paper 1 and Paper 2, is assumed knowledge for Paper 3 and may be tested within parts of questions. This paper assesses synopticity.   Assessment objectives: AO1 Use and apply standard techniques, 32-36%; AO2 Reason, interpret and communicate mathematically, 31-35%; AO3 Solve problems within mathematics and in other contexts, 31-35%. What will you study? Topics for Paper 1 Proof, algebra and functions, coordinate geometry in the (x,y) plane, sequences and series, trigonometry, exponentials and logarithms, differentiation, integration and vectors. Topics for Paper 2 Proof, algebra and functions, coordinate geometry in the (x,y) plane, sequences and series, trigonometry, differentiation, integration and numerical methods. Topics for Paper 3 Section A: Statistics Statistical sampling, data presentation and interpretation, probability, statistical distributions and statistical hypothesis testing. Topics for Paper 3 Section B: Mechanics Quantities and units in mechanics, kinematics, forces and Newton’s Laws and Moments. What will GCE Mathematics offer you in the future? Development of analytical and problem solving skills. Careers in accounting, medicine, engineering, forensic pathology, finance, business consultancy, teaching, ICT, games development, scientific research, programming, civil service, design, construction and astrophysics.
 Why study Further Mathematics? Potential for joint university courses, graduate prospects, transferable skills and salary advantage. How will you be assessed?   PEARSON Edexcel Level 3 Advanced GCE in Further Mathematics (9FM0) Four externally examined written papers. Students must complete all assessment in May/June, in any single year. Paper 1: Further Pure Mathematics 1 (9FM0/01) 1 hour and 30 minutes, 25% of the qualification and 75 marks. Students must answer all questions and calculators may be used in the assessment. Paper 2: Further Pure Mathematics 2 (9FM0/02) 1 hour and 30 minutes, 25% of the qualification and 75 marks. Students must answer all questions and calculators may be used in the assessment. Paper 3: Further Mathematics Option 1 (9FM0/Papers 3A – 3D) 1 hour and 30 minutes, 25% of the qualification and 75 marks. Students take one of the following four options: 3A Further Pure Mathematics 3; 3B Further Statistics 1; 3C Further Mechanics 1; 3D Decision Mathematics 1. Students must answer all questions and calculators may be used in the assessment. Paper 4: Further Mathematics Option 2 (9FM0/Papers 4A – 4G) 1 hour and 30 minutes, 25% of the qualification and 75 marks. Students take one of the following seven options: 4A: Further Pure Mathematics 4; 4B: Further Statistics 1; 4C: Further Statistics 2; 4D: Further Mechanics 1; 4E: Further Mechanics 2; 4F: Decision Mathematics 1; 4G: Decision Mathematics 2. Students must answer all questions and calculators may be used in the assessment. Assessment objectives: AO1 Use and apply standard techniques, 50%; AO2 Reason, interpret and communicate mathematically, at least 15%; AO3 Solve problems within mathematics and in other contexts, at least 15%. What will you study? Paper 1: proof, complex numbers, matrices, further algebra and functions, further calculus and further vectors. Paper 2: complex numbers, further algebra and functions, further calculus, polar coordinates, hyperbolic functions and differential equations. Paper 3 (one of the following options) 3A: further calculus, further differential equations, coordinate systems, further vectors, further numerical methods and inequalities. 3B: linear regression, statistical distributions (discrete), statistical distributions (continuous), correlation, hypothesis testing and chi squared tests. 3C: momentum and impulse, collisions, centres of mass, work and energy, elastic strings and springs. 3D: algorithms and graph theory, algorithms on graphs I and II, critical path analysis and linear programming. Paper 4 (one of the following options) 4A: groups, further calculus, further matrix algebra, further complex numbers, number theory, further sequences and series. 4B: as 3B. 4C: probability distributions, combinations of random variables, estimation, confidence intervals and tests using a normal distribution, other hypothesis tests and confidence intervals, probability generating functions, quality of tests and estimators. 4D as 3C. 4E: further kinematics, further dynamics, motion in a circle, statics of rigid bodies, elastic collisions in two dimensions. 4F: as 3D 4G: transportation problems, allocation (assignment) problems, flows in networks, dynamic programming, game theory, recurrence relations and decision analysis. What will Further Mathematics offer you in the future? A broad mathematical knowledge and secure technical ability to progress a broad range of career options, leading to 5% to 10% higher salaries than the mean for all graduates.