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## 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