Year 11 maths topics

GCSE · ages 15 to 16 · 17 topics first taught in Year 11. Earlier topics keep coming back in review.

Number

Compound interest: Work out an amount after interest is added each year.
Growth and decay: Use multipliers for repeated percentage growth and decay.
Recurring decimals as fractions: Turn a recurring decimal into a fraction.
Upper and lower bounds: Find the largest and smallest values a rounded number could have been.

Algebraic proof: Show that an expression is always even, odd or a multiple, and use algebra to explain why.
Composite functions: Put one function inside another.
Explain with algebra: Explain why something is always true, using algebra.
Inverse functions: Find the inverse of a function and use it.
Iteration: Use an iterative formula to find the next terms.
Quadratic graphs: Find the turning point, intercepts and symmetry of a quadratic graph.
Transforming graphs: Describe how y = f(x) moves, stretches or reflects when the equation changes.

Graphs of sine and cosine: Use the shape of sin and cos graphs: amplitude, maximum, minimum and period.
Similar shapes and scale factors: Use a scale factor to find missing lengths and areas.
The equation of a circle: Read and write the equation of a circle with its centre at the origin or elsewhere.

Conditional probability: Find probabilities when items are taken without replacement.
Cumulative frequency and box plots: Find the median and quartiles from a cumulative frequency graph, and the interquartile range.
Probability of two events: Combine the probabilities of two independent events.