GCSE Maths — Graphs & Functions

Worked examples, practice questions and revision guides covering the full GCSE Graphs & Functions topic — from straight line graphs through to graph transformations and real-life graphs.

Topics

Select a topic below to access free practice questions and worked examples.

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Straight Line Graphs

Gradient, y = mx + c, parallel and perpendicular lines, midpoint and length.

Worked examples · 15 practice questions
Non-linear Graphs

Quadratic, cubic, reciprocal and exponential graphs — Foundation and Higher.

Worked examples · 15 practice questions
Gradient

Finding the gradient between two points and from a straight line graph.

Worked examples · 15 practice questions
y=mx+c
Equation of a Straight Line

Finding y = mx + c from a graph, two points, or a point and a gradient.

Worked examples · 15 practice questions
Quadratic Graphs

Plotting, sketching and interpreting quadratic graphs and their turning points.

Worked examples · 15 practice questions
Cubic & Reciprocal Graphs

Sketching cubic and reciprocal graphs and identifying their key features.

Worked examples · 15 practice questions
Graph Transformations

Translating, reflecting and stretching graphs using function notation.

Worked examples · 15 practice questions
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Distance-Time Graphs

Reading and interpreting distance-time graphs, including speed from gradient.

Worked examples · 15 practice questions
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Velocity-Time Graphs

Reading velocity-time graphs, including acceleration and area under the graph.

Worked examples · 15 practice questions
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Real-life Graphs

Interpreting graphs that model real-life situations, including conversion graphs.

Worked examples · 15 practice questions
Graphical Simultaneous Equations

Solving pairs of equations by finding where their graphs intersect.

Worked examples · 15 practice questions
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Graph Interpretation

Reading, comparing and drawing conclusions from a range of graph types.

Worked examples · 15 practice questions

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