Guides · Edexcel GCSE Maths (1MA1)

GCSE Maths Higher topics

Higher adds 39 topics to the 72 both tiers share. Here is every one.

Higher only, by strand

Number, algebra and proportion

  1. Product counting and estimating powers/roots
  2. Fractional and negative indices
  3. Surds, exact calculations and rationalising
  4. Recurring decimals as fractions
  5. Upper/lower bounds in calculations
  6. Algebraic fractions and rational equations
  7. Three binomials and non-monic factorisation
  8. General algebraic proofs
  9. Formal, inverse and composite functions
  10. Translations and reflections of function graphs
  11. Perpendicular gradients and line equations
  12. Origin-centred circles and tangents
  13. Completing the square and turning points
  14. Quadratic formula and rearranged quadratics
  15. Linear/quadratic simultaneous equations
  16. Quadratic and two-variable inequalities
  17. Exponential and trigonometric graphs
  18. Graph gradients and areas
  19. Average and instantaneous rates of change
  20. Iterative formulae, roots and growth models
  21. Quadratic sequence nth terms
  22. Geometric sequences with surds and other patterns
  23. Constructing direct/inverse proportional equations

Geometry and measures

  1. Negative-scale-factor enlargement
  2. Combined transformations and invariance
  3. Area and volume in similar figures
  4. Circle theorems and angle chains
  5. Circle theorem proofs and linked geometry
  6. Three-dimensional Pythagoras and trigonometry
  7. Sine rule and the ambiguous case
  8. Cosine rule for sides and angles
  9. Area of any triangle and mixed trigonometry
  10. Vector geometric arguments and proofs

Probability and statistics

  1. Conditional probability in tables, trees and Venn diagrams
  2. Algebraic probability and linked events
  3. Histograms with unequal widths
  4. Cumulative frequency and quantiles
  5. Box plots and distribution comparisons
  6. Capture–recapture and sampling assumptions

Try a Higher question

Higher questionNon-calculator2 marks

Write 0.2˙7˙0.\dot{2}\dot{7} as a fraction in its simplest form.

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Higher · 1 of 8
Question 1Calculator allowed

After an increase of 8%, the price of a bike is £129.60

Work out the price of the bike before the increase.

Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

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