Pearson Edexcel IGCSE · 4MA1 Higher

Maths

19 modules covering the full Higher tier specification. All questions are 4MA1 style with method marks awarded by AI. Show all working — partial credit for correct methods.

Number
Unit 1 · Number
Number, Indices & Standard Form
Prime factors, HCF, LCM, index laws, negative/fractional indices, standard form.
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Unit 1 · Number
Surds
Simplifying, adding, multiplying surds. Rationalising the denominator. Grade 7+.
Paper 1
Unit 1 · Number
Fractions & Recurring Decimals
Fraction operations, mixed numbers, converting recurring decimals to fractions.
Paper 1
Unit 1 · Number
Bounds, Rounding & Accuracy
Error intervals, upper and lower bounds, calculations with bounds. Grade 6–7.
Paper 1Calculator
Unit 4 · Number
Percentages, Ratio & Proportion
Compound interest, reverse percentage, ratio problems, direct and inverse proportion.
Paper 2Calculator
Unit 11 · Number
Compound Measures
Speed/distance/time, density, pressure, currency conversions.
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Unit 12 · Shape
Similarity, Congruence & Scale Factors
Similar shapes, area and volume scale factors, congruence conditions.
Paper 2
Algebra
Unit 2 · Algebra
Algebra — Manipulation & Expanding
Double brackets, factorising quadratics, completing the square, algebraic fractions.
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Unit 9 · Algebra
Quadratics, Simultaneous & Inequalities
All three methods for quadratics, simultaneous (linear+quadratic), quadratic inequalities.
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Unit 2 · Algebra
Sequences & Functions
Arithmetic nth term, sum of series, composite and inverse functions.
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Unit 6 · Algebra
Graphs & Coordinate Geometry
Straight lines, parallel/perpendicular, graph transformations f(x).
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Unit 2 · Algebra
Calculus — Differentiation
Differentiating integer powers, gradients, stationary points, max/min. Higher only.
Paper 1Higher only
Geometry & Measures
Unit 5 · Shape
Trigonometry
SOH CAH TOA, Pythagoras in 2D & 3D, sine rule, cosine rule, area of any triangle.
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Unit 7 · Shape
Area, Volume & Circles
All standard shapes including cylinders, cones, spheres, sectors. Unit conversions.
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Unit 8 · Shape
Transformations & Vectors
Rotation, reflection, translation, enlargement (negative SF). Vector proof.
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Unit 16 · Shape
Circle Theorems
All eight circle theorems. Must give reasons. Grade 7+ examination topic.
Paper 2Grade 7+
Statistics & Probability
Unit 14 · Statistics
Statistics — Histograms & Cumulative Frequency
Frequency density, cumulative frequency, box plots, mean from grouped data.
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Unit 10 · Probability
Probability — Trees, Venn Diagrams & Sets
Tree diagrams, conditional probability, Venn diagrams, set notation.
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