Year 11 Learning

GCSE Mathematics has a Foundation tier (grades 1 – 5) and a Higher tier (grades 4 – 9). The course is assessed through three terminal papers at the end of Year 11. Content from any part of the specification may be assessed in any paper.

In Year 11 students are covering the remaining topics at Higher and Foundation and are revising their learning from previous years to prepare for their final examinations.

Paper 1 Paper 2 Paper 3
Non-calculator
1 hour 30 minutes
80 marks
33 ? % of final assessment
Calculator allowed
1 hour 30 minutes
80 marks
33 ? % of final assessment
Calculator allowed
1 hour 30 minutes
80 marks
33 ? % of final assessment
Topic Key Content
Quadratics
  • Expressions, equations, identities, formulae
  • Expanding the product of two and three binomials
  • Factorisation
  • Solving quadratic equations
  • The quadratic formula
  • Completing the square
  • Roots and turning points
Real Life Graphs
  • Rates of change
  • Proportionality
  • Speed, distance, time graphs
  • Velocity time graphs
  • Comparing distributions
Simultaneous Equations
  • Solving linear equations
  • Solving simultaneous equations:
    - using a graphical method
    - by elimination
    - by substitution
  • Solving simultaneous equations where one function is linear and the other quadratic
Inequalities
  • Inequality notation
  • Solving linear inequalities
  • Solving quadratic inequalities
Direct and Inverse Proportion
  • The unitary method
  • Direct proportion
  • Inverse proportion
  • Graphs of proportionality
Bounds
  • Rounding using decimal places and significant figures
  • Upper and lower bounds
  • Error intervals
Powers and Roots
  • Squares, cubes, powers and roots
  • Laws of Indices
  • Negative and fractional indices
Sine and Cosine Rule
  • Trigonometry in right-angled triangles
  • The Sine Rule
  • The Cosine Rule
Graphs of Functions
  • Curved Graphs, including cubic, reciprocal and exponential functions
  • Trigonometric graphs
  • Transformations of Graphs
  • Equation of a Circle
Circle Theorems
  • Circle Theorems
Iterations
  • Iterations
Vectors
  • Column vectors
  • Vector addition
  • Solving geometrical problems using vectors

Year 11 Knowledge

March 2025

MTWTFWE
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31     

View the calendar in full