Year 11 is part of the GCSE course and students would have come across some of these topics again in Year 10.

These are the Year 11 Maths topics we cover.

  • Addition and subtraction
  • Multiplication and division
  • Rounding
  • Estimating
  • Powers and roots
  • Factors and multiples
  • Fractions of a quantity
  • Fraction, decimal and percentage
  • Negative numbers
  • Order of operation
  • Area and perimeter
  • Bar charts
  • Pie charts
  • Stem and leaf diagrams
  • Frequency polygons
  • Algebra – collecting like terms
  • Averages
  • Error intervals
  • Addition and subtraction of fractions
  • Multiplication of fractions
  • Division of fractions
  • Sharing between a ratio
  • Proportions
  • Percentage of an amount
  • Percentage increase and decrease
  • Percentage change
  • Substitution
  • Solving equations
  • Solving equations with unknown on both sides
  • Linear graphs
  • Area and circumference of circles
  • Transformations
  • Area of compound shapes
  • Probability
  • Two-way tables
  • Compound interest and depreciation
  • Indices
  • HCF and LCM
  • Functional maths
  • Inequalities
  • Forming and solving equations
  • Types of sequences
  • Generating sequences
  • Sequences – Nth term
  • Expanding and factorising
  • Pythagoras theorem
  • Angle problems
  • Angles in polygons
  • Angles in parallel lines
  • Surface area
  • Volume of prisms
  • Volume and surface area of a cylinder
  • Construction and loci
  • Bearings
  • Calculating averages from frequency tables
  • Probability¬†
  • Scatter diagrams
  • Writing a Ratio as a Fraction or Linear Function
  • Direct and Inverse Proportion
  • Speed and density
  • Reverse Percentages
  • Standard form
  • Changing the Subject of a Formula
  • Expanding and Factorising Quadratics
  • Solving equations
  • Drawing quadratic graphs
  • Drawing Other Graphs: Cubic/Reciprocal
  • Simultaneous equations
  • Solving Simultaneous Equations Graphically
  • Midpoint of a Line Segment
  • Gradient of a line
  • Equation of a Line
  • Arc lengths and sector area
  • Volume and surface area of pyramids, spheres and cones
  • Similar Shapes (Lengths)
  • Trigonometry
  • Exact trigonometric values
  • Probability trees
  • Venn diagrams
  • Vectors
  • Recurring Decimals to Fractions
  • Fractional and Negative Indices
  • The Product Rule for Counting
  • Repeated Percentage Change
  • Expanding Triple Brackets
  • Parallel and Perpendicular Lines
  • Length of a line segment
  • Inequalities on Graphs
  • Similar Shapes (Area and Volume)
  • Enlarging with Negative Scale Factors
  • Cumulative Frequency
  • Circle theorem
  • Box and whisker plot
  • Direct and Inverse Proportion
  • Surds
  • Upper and lower bounds
  • Quadratic formula
  • Factorising Harder Quadratics
  • Algebraic Fractions
  • Rearranging Harder Formulae
  • Harder Graphs: Trig/Exponential
  • Inverse and Composite Functions
  • Finding the area of any triangle
  • Iteration
  • Congruent Triangles
  • The sine rule
  • The cosine rule
  • Venn Diagrams (“Given that” questions)
  • 3D Pythagoras
  • Histograms
  • Quadratic Simultaneous Equations
  • Transforming Graphs y=f(x)
  • Proof
  • Completing the Square
  • The Nth Term of a Quadratic Sequence
  • Quadratic Inequalities
  • Velocity Time Graphs
  • Proof of the Circle Theorems
  • Perpendicular Lines and the equation of a tangent
  • Vectors Proof Questions
  • Probability Equation Questions

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