GCSE Higher
Year 10 Higher Maths
The year algebra becomes the main tool. Topics include solving and graphing quadratics, surds and indices, algebraic fractions, vectors, and trigonometry beyond right-angled triangles.
What Should a Student Know in Year 10 Higher?
Download the full checklist of Year 10 Higher topics, every domain and every objective the year covers, as a printable PDF booklet.
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Visual Curriculum Map
See how Year 10 Higher topics connect across the curriculum, where each one begins and what they build towards.
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19 topics
Year 10 Topics
Algebraic manipulation
Simplify an expression
Equations, inequalities and formulae
Solve an equation
Quadratic expressions and equations
Multiply out two brackets
Straight line graphs
Draw the graph of a straight line
Non-linear graphs
Draw the curve of a squared equation
Simultaneous equations
Solve a pair of equations by drawing their graphs
Percentages
Find a percentage of an amount
Work with fractions
Add and subtract fractions
Non-calculator methods
Carry out calculations in the correct order
Rounding and estimation
Round to decimal places and significant figures
Factors, powers and surds
Write a number as prime factors and find the HCF and LCM
Ratio and scale
Recognise ratios that mean the same thing
Probability
Work out the chance of a single outcome
Perimeter, area and volume
Work out the distance around a flat shape
Angles
Work out angles around a point, on a line and where lines cross
Vectors
Understand what a vector describes
Pythagoras and trigonometry
Find any missing side of a right-angled triangle
Interpret and represent data
Work out averages and the spread of data
Graphs and diagrams
Read and draw a pie chart
Check What Is Secure
Take a module assessment on a single Year 10 Higher topic, or a full assessment across the whole year, and see what has landed and what needs another look.
Ready for Year 11 Foundation?
Continue into the next stage of the curriculum when ready.