Year 11 maths, age 15 to 16, KS4

In Year 11, pupils consolidate and complete the Key Stage 4 programme of study in preparation for GCSE examinations. They master non-linear algebra, advanced proportion, and multi-step geometric problem solving including right-angled trigonometry and circle theorems. They also analyse bivariate data and calculate compound and conditional probabilities.

Start a Year 11 sheet

Equivalent levels

Topics

Number

Topic	Focus	Codes
Powers and Index Laws	secure
Standard Form	secure

Percentages

Topic	Focus	Codes
Percentage Increase and Decrease	secure

Ratio

Topic	Focus	Codes
Sharing in a Ratio	secure
Simplifying Ratios	secure
Proportion and Unit Rates	secure

Measurement

Topic	Focus	Codes
Speed, Distance and Time	secure
Circumference and Area of Circles	secure

Algebra

Topic	Focus	Codes
Expanding brackets	secure
Simplifying Algebraic Expressions	secure
Factorising	secure
Linear inequalities	secure
The nth term of a sequence	secure
Number sequences and patterns	secure
Straight-line graphs and gradient	secure
Simultaneous equations	secure
Solving Quadratic Equations	secure

Geometry

Topic	Focus	Codes
Pythagoras' Theorem	secure
Transformations: Reflection, Rotation and Translation	secure

Probability

Topic	Focus	Codes
Theoretical Probability	secure

Curriculum items

Indicative, from National Curriculum for England. See the official document for the authoritative text.

Calculate with integer and fractional powers and apply standard index laws.
Convert numbers between ordinary forms and standard index form to solve complex problems.
Solve multi-step problems involving percentage increases, decreases, and compound interest.
Divide quantities in given ratios and solve reverse or multi-part ratio problems.
Work with compound units and rates including speed, distance, and time.
Expand products of two or more binomials and simplify the resulting expressions.
Factorise quadratic expressions including the difference of two squares and trinomials.
Solve linear inequalities in one variable and represent the solution set on a number line.
Find the nth term of arithmetic sequences and solve problems involving specific terms.
Determine the equation of a straight line, identifying parallel and perpendicular gradients.
Solve pairs of simultaneous linear equations algebraically and interpret their solution geometrically.
Solve quadratic equations algebraically by factorising and applying the quadratic formula.
Apply Pythagoras' theorem in two and three dimensions to find unknown lengths.
Calculate perimeters and areas of circles, sectors, and composite circular shapes.
Describe and execute translations, rotations, reflections, and enlargements.
Calculate probabilities of combined events using tree diagrams and sample space methods.

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