Year 11 · Specialist Mathematics

Year 11 Specialist Mathematics

Choose a main topic to find your next skill.

Sequences and series2 subtopics

Arithmetic sequences and series

Find terms, common differences and finite sums.

Geometric sequences and series

Finite sums, convergent infinite sums and ratios.

Geometry and proof2 subtopics

Circle properties

Apply angle and tangent theorems with reasons.

The nature of proof

Identify valid arguments and use counterexamples.

Vectors2 subtopics

Vector operations

Components, displacement and scalar multiples.

Component and unit vector forms

Magnitudes and normalised vectors.

Applications of Vectors2 subtopics

Projections

Scalar and vector projections using dot products.

Geometric proofs using vectors

Midpoints, parallel lines and vector arguments.

Real Polynomials1 subtopic

Real Polynomials

Remainder and factor theorems for real polynomials.

Further trigonometry2 subtopics

Further trigonometric functions

Reciprocal functions, exact values and domains.

Trigonometric identities

Double angles and compound-angle identities.

Matrices2 subtopics

Matrix arithmetic

Matrix products and determinants.

Transformations in the plane

Rotations, reflections and combined transformations.

Real and complex numbers5 subtopics

The number line

Absolute values, intervals and inequalities.

Introduction to induction

Base cases, hypotheses and the next step.

Complex arithmetic

Products, conjugates and real parts.

Worked example included

The Argand plane

Modulus, coordinates and distance.

Complex roots of equations

Quadratics with non-real roots and conjugate pairs.

Mixed exam practice1 subtopic

Year 11 mixed exam

12 questions · 30 minutes. Work on paper; answers and full working at the end.

These are the practice sets currently available for this year. Coverage is still growing.

Open Year 11 practice

More worked lessons

Year 12 · Testing perpendicular vectors with the dot product →Year 11 · Multiplying complex numbers →