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IGCSE Mathematics

This Course offers complete coverage of the Cambridge IGCSE Mathematics (0580/0980) syllabus. It contains detailed explanations and clear worked examples, followed by practice exercises to allow students to consolidate the required mathematical skills.

What you’ll learn

• At the end of this course, you will have covered every topic you need to blitz the IGCSE exams.
• At the end of this course, you will have a fantastic understanding across the major topics covered in high school Math

Course content:

This Course offers complete coverage of the Cambridge IGCSE Mathematics (0580/0980) syllabus. It contains detailed explanations and clear worked examples, followed by practice exercises to allow students to consolidate the required mathematical skills.

C1 Number

• Vocabulary and notation for different sets of numbers: natural numbers ℕ, primes, squares, cubes, integers ℤ, rational numbers ℚ, irrational numbers, real numbers ℝ, triangle numbers Notes/Examples ℕ = {0, 1, 2, …}
• Use of the four operations and brackets
• Highest common factor (HCF), lowest common multiple (LCM)
• Calculation of powers and roots
• Ratio and proportion Including use of e.g. map scales
• Extended curriculum only
• Equivalences between decimals, fractions and percentages
•  Percentages including applications such as interest and profit Includes both simple and compound interest
• Meaning of exponents (powers, indices) in ℤ Standard Form, a × 10n where 1 ⩽ a < 10 and n ∈ ℤ Rules for exponents
• Estimating, rounding, decimal places and significant figures
•  Calculations involving time: seconds (s), minutes  (min), hours (h), days, months, years including
•  Problems involving speed, distance and time

C2 Algebra

• Writing, showing and interpretation of inequalities, including those on the real number line
• Solution of simple linear inequalities
• C2.3 Solution of linear equations
• C2.4 Simple indices – multiplying and dividing e.g. 8x 5÷ 2x
• C2.5 Derivation, rearrangement and evaluation of simple formulae
• C2.6 Solution of simultaneous linear equations in two variables
• C2.7 Expansion of brackets Including e.g. (x – 5)(2x + 1)
• C2.8 Factorisation: common factor only e.g. 6x 2 + 9x = 3x(2x + 3)
• C2.9 Algebraic fractions: simplification addition or subtraction of fractions with integer denominators multiplication or division of two simple fractions
• C2.10 Extended curriculum only
• C2.11 Use of a graphic display calculator to solve, equations, including those which may be unfamiliar

C3 Functions

• Notation
• Domain and range
• Mapping diagrams
• Notes/Examples Domain is R unless stated otherwise
• C3.2 Extended curriculum only
• C3.3 Extended curriculum only
• C3.4 Extended curriculum only
• C3.5 Understanding of the concept of asymptotes and graphical identification of simple examples parallel to the axes
• C3.6 Use of a graphic display calculator to:
• sketch the graph of a function
• produce a table of values
• find zeros, local maxima or minima
• ind the intersection of the graphs of functions
• Vertex of quadratic
• C3.8 Description and identification, using the language of transformations, of the changes to the graph of y = f(x) when y = f(x) + k, y = f(x + k)

C4 Coordinate geometry

• Plotting of points and reading from a graph in the
• Cartesian plane
• Notes/Examples
• C4.2 Distance between two points Syllabus link: C5.6
• C4.3 Mid-point of a line segment
• C4.4 Gradient of a line segment
• C4.5 Gradient of parallel lines
• C4.6 Equation of a straight line as y = mx + c or x = k
• C4.7 Extended curriculum only
• C4.8 Symmetry of diagrams or graphs in the Cartesian plane

C5 Geometry

• Use and interpret the geometrical terms: acute, obtuse, right angle, reflex, parallel, perpendicular, congruent, similar
• Use and interpret vocabulary of triangles, quadrilaterals, polygons and simple solid figures Notes/Examples e.g. pyramids including tetrahedrons
• C5.2 Line and rotational symmetry Syllabus link: C4.8
• C5.3 Angle measurement in degrees
• C5.4 Angles round a point
• Angles on a straight line and intersecting straight lines
• Vertically opposite angles
• Alternate and corresponding angles on parallellines
• Angle sum of a triangle, quadrilateral and polygons
• Interior and exterior angles of a polygon
• Angles of regular polygons
• C5.5 Similarity
• Calculation of lengths of similar figures
• C5.6 Pythagoras’ Theorem in two dimensions
• Including:
• chord length
• distance of a chord from the centre of a circle
• distances on a grid
• C5.7 Use and interpret vocabulary of circles
• Properties of circles: • tangent perpendicular to radius at the point of contact • tangents from a point • angle in a semicircle

C6 Vectors and transformations C6.1 Notation: component form x C6..2 Transformations on the Cartesian plane: • translation • reflection • rotation • enlargement (reduction)

C7 Mensuration

• Units: mm, cm, m, km mm2 , cm2, m2 , ha, km2 mm3 , cm3, m3ml, cl, l,g, kg, t
• Convert between units
• C7.2 Perimeter and area of rectangle, triangle and compound shapes derived from these
• Formula given for area of triangle
• C7.3 Circumference and area of a circle
• Arc length and area of sector
• Formulae given for circumference and area of a circle
• C7.4 Surface area and volume of prism and pyramid (in particular, cuboid, cylinder and cone) Surface area and volume of sphere and hemisphere
• Formulae given for curved surface areas of
• cylinder, cone and sphere; volume of pyramid,
• cone, cylinder, prism and sphere
• C7.5 Areas and volumes of compound shapes

C9 Sets C9.1 Notation and meaning for: • number of elements in A, (n(A)) • is an element of (∈) • is not an element of (∉) • complement of A, (A′) • empty set (∅ or { }) • universal set (U) • is a subset of (⊆) • is a proper subset of (⊂) Notes/Examples C9.2 Sets in descriptive form { x | } or as a list Syllabus link: C2.1 C9.3 Venn diagrams with at most two sets Syllabus link: C10.6 C9.4 Intersection and union of sets

C10 Probability

• Probability P(A) as a fraction, decimal or percentage
• Significance of its value
• Notes/Examples
• C10.2 Relative frequency as an estimate of probability
• C10.3 Expected frequency of occurrences
• C10.4 Combining events simple cases onlyC10.5 Tree diagrams including successive selection with or without replacement
• simple cases only
• C10.6 Probabilities from Venn diagrams and tables

Details of the assessment All candidates take three papers.

• Candidates who have studied the Core syllabus content should be entered for Paper 1, Paper 3 and Paper 5.
• Thesecandidates are eligible for grades C to G.
• Candidates who have studied the Extended syllabus content should be entered for Paper 2, Paper 4 and Paper 6.
• These candidates are eligible for grades A* to E.