IGCSE Additional Mathematics Papers

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List of (0606) IGCSE Additional Mathematics Past Year Papers Download

List of (0606) IGCSE Additional Mathematics Past Year Papers Download

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Objectives to Achieve When Doing These (0606) IGCSE Additional Mathematics Past Year Papers

IGCSE Additional Mathematics Past Year Papers 0606 download

The aims are to:

  • consolidate and extend their mathematical skills, and use these in the context of more advanced techniques
  • further develop their knowledge of mathematical concepts and principles, and use this knowledge for problem solving
  • appreciate the interconnectedness of mathematical knowledge
  • acquire a suitable foundation in mathematics for further study in the subject or in mathematics-related subjects
  • devise mathematical arguments and use and present them precisely and logically
  • integrate information technology (IT) to enhance the mathematical experience
  • develop the confidence to apply their mathematical skills and knowledge in appropriate situations
  • develop creativity and perseverance in the approach to problem solving
  • derive enjoyment and satisfaction from engaging in mathematical pursuits, and gain an appreciation of the elegance and usefulness of mathematics
  • provide foundation for AS Level/Higher study after IGCSE Additional Mathematics Past Year Papers

Subject content of these IGCSE (0606) Additional Mathematics Past Year Papers

Knowledge of the content of Cambridge IGCSE Mathematics Past Year Papers (or an equivalent syllabus) is assumed.

Cambridge IGCSE material which is not included in the subject content will not be tested directly but it may be required in response to questions on other topics.

IGCSE Additional Mathematics Past Year Papers requires students to proofs of results will not be required unless specifically mentioned in the syllabus.

Candidates will be expected to be familiar with the scientific notation for the expression of compound units, e.g. 5 ms–1 for 5 metres per second.

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Functions

  • understand the concept of function, domain, range (image set), one-to-one function, inverse function and composition of functions
  • use the notation f(x) = sin x, f: x ↦ lg x, (x > 0), f –1(x) and f 2(x) [= f(f(x))]
  • understand the relationship between y = f(x) and y = |f(x)|, where f(x) may be linear, quadratic or trigonometric
  • explain in arguments why a given function is a function or why it does not have an inverse
  • find the inverse of a one-one function and form composite functions
  • usage of sketch graphs to show the association between a function and its inverse

2 Quadratic functions

  • find the maximum or minimum value of the quadratic function f : x ↦ ax 2 + bx + c by any method
  • use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain
  • know the environments for f(x) = 0 to have:

(i) two real roots, (ii) two equal roots, (iii) no real origins and the related conditions for a given line to

(i) intersect a given curve, (ii) be a tangent to a given curve, (iii) not intersect a given curve

  • answer quadratic equations for real roots and find the answer set for quadratic inequalities when doing these IGCSE Additional Mathematics Past Year Papers

3 Equations, inequalities and graphs

  • solve graphically or algebraically equations of the kind |ax + b| = c (c ⩾ 0) and |ax + b| = |cx + d|
  • solve graphically or algebraically variations of the type

|ax + b| > c (c ⩾ 0), |ax + b| ⩽ c (c > 0) and |ax + b| ⩽ (cx + d)

  • use substitution to form and solve a quadratic equation in order to solve a related equation
  • draft the graphs of cubic polynomials and their moduli, when assumed in factorised form

y = k(x – a)(x – b)(x – c)

  • solve cubic inequalities in the form k(x – a)(x – b)(x – c) ⩽ d graphically

4 Indices and surds

  • do simple processes with indices and with surds, plus rationalising the denominator. This is important for IGCSE Additional Mathematics Past Year Papers.

5 Factors of polynomials

  • In IGCSE Additional Mathematics Past Year Papers, candidates need to know and use the rest and factor formulae
  • discover features of polynomials
  • answer cubic equations and questions

6 Simultaneous equations

  • solve simple simultaneous calculations in two unknowns by removal or replacement

7 Logarithmic and exponential functions

  • know simple possessions and graphs of the logarithmic and exponential functions including ln x and e x (series expansions are not required) and graphs of ke nx + a and kln(ax + b) whereby n, k, a and b are integers
  • know and use the rules of logarithms (with changes of basis of logarithms)
  • resolve equivalences of the form ax = b

8 Straight line curve graphs

  • understand the equation of a straight-line graph in the form y = mx + c
  • alter given relationships, including y = axn and y = Abx , to straight line curve form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph
  • solve questions connecting mid-point and length of a line
  • know and use the condition for two lines to be similar or perpendicular, including finding the equation of perpendicular bisectors. IGCSE Additional Mathematics Past Year Papers will provide graph papers.

9 Circular measure

  • solve problems involving the arc length and sector area of a circle, including data information and use of radian measures

10 Trigonometry

  • know the six trigonometric functions of angles of any magnitude (sine, cosine, tangent, secant, cosecant, cotangent) when doing this IGCSE Additional Mathematics Past Year Papers
  • understand amplitude and periodicity and the relationship between graphs of related trigonometric functions, e.g. sin x and sin 2 x
  • draw and use the graphs of

          y = a sin bx + c

          y = a cos bx + c

          y = a tan bx + c

where a is a positive integer, b is a simple fraction or integer (fractions will      have a denominator of 2, 3, 4, 6 or 8 only), and c is an integer

  • practice the relationships

          sin2 A + cos2 A = 1

          sec2 A = 1 + tan2 A, cosec2 A = 1 + cot2 A

  • resolve simple trigonometric equations involving the six trigonometric functions and the above relationships (not including general solution of trigonometric equations)
  • demonstrate simple trigonometric identities while doing this IGCSE Additional Mathematics Past Year Papers.

11 Permutations and combinations

  • recognise and distinguish between a permutation case and a combination case
  • know and use the notation n! (with 0! = 1), and the expressions for permutations and mixtures of n items taken r at a time
  • response simple problems on arrangement and selection (cases with repetition of objects, or with objects arranged in a circle, or involving both permutations and combinations, are omitted)

12 Series

  • use the Binomial Theorem for expansion of (a + b)n for positive integer n. knowledge of the highest term and properties of the factors is not required
  • recognise arithmetic and geometric evolutions will be used in these IGCSE Additional Mathematics past year papers
  • use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric developments
  • use the condition for the convergence of a geometric progression, and the method for the sum to infinity of a convergent geometric movement

14 Differentiation and integration

  • understand the idea of a derived function
  • use the derivatives of the standard functions xn (for any rational n), sin x, cos x, tan x, e x , ln x, together with constant multiples, sums and composite functions of these
  • contrast products and quotients of functions
  • apply differentiation to gradients, tangents and normals, stationary points, connected rates of change, small increments and approximations and practical maxima and minima problems
  • use the first and second derivative tests to discriminate between maxima and minima will be examine thoroughly in these IGCSE Additional Mathematics past year papers
  • understand integration as the reverse process of differentiation when doing these IGCSE Additional Mathematics Past Year Papers
  • integrate functions of the form (ax + b) n for any rational n, sin (ax + b), cos (ax + b), e ax + b
  • Appraise definite integrals and apply integration to the evaluation of plane areas
  • apply differentiation and integration to kinematics problems that involve dislocation, velocity and acceleration of a particle moving in a straight line with variable or fixed acceleration, and the use of x–t and v–t charts

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Details of the Assessment: IGCSE (0606) Additional Mathematics Past Year Papers

All candidates will take two written papers.

Grades A* to E will be available for candidates who achieve the required standards. Grades F and G will not be available. Therefore, candidates who do not achieve the minimum mark for grade E will be unclassified.

Fellow students must show all necessary workings; no marks will be given to unsupported answers from a calculator.

Paper 1 – 2 hours, 80 marks

Paper 2 – 2 hours, 80 marks

Each paper includes the formula list.

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Need Tuition Help to do These IGCSE Additional Mathematics Past Year Papers?

Need Tuition Help To Score In Your
IGCSE Additional Mathematics Papers?