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DfE statement A14 · Algebra

Real-life graphs and kinematics

part HigherEither paper

Real-life graphs and kinematics is content statement A14 of the DfE GCSE mathematics subject content, in the algebra area. It is on both tiers, with a Higher-only part, and it appears on both the calculator and the non-calculator papers. Below is what the specification actually requires, the 3 mistakes that cost marks on this topic most often, and practice questions written to the statement — original questions, not past papers.

What the specification says

The DfE subject content for GCSE mathematics states, verbatim: "Plot and interpret graphs (including reciprocal graphs and exponential graphs) and graphs of non-standard functions in real contexts, to find approximate solutions to problems such as simple kinematic problems involving distance, speed and acceleration." (statement A14). Every awarding organisation — Pearson Edexcel, AQA and OCR — must cover it, so the wording is the same whichever specification your school follows.

— Department for Education, Mathematics: GCSE subject content and assessment objectives, statement A14

Tier

Both tiers, but part of it is Higher only. Foundation covers the statement except for the following, which the DfE prints in bold and reserves for Higher: "and exponential graphs". Everything else in the statement is Foundation content.

Calculator

This turns up on both the non-calculator and the calculator papers, so practise it both ways — the written method for Paper 1 and the efficient calculator route for Papers 2 and 3.

Common mistakes

  • Reading a horizontal section of a distance-time graph as travelling back to the start. It means stationary; a return journey slopes back down.
  • Reading the gradient as a speed without checking the axis units, so minutes are treated as hours.
  • Reading a value off the graph by counting squares rather than using the scale printed on the axis.

Formulae for this statement

Kinematics: velocity from accelerationv = u + atGiven in the examKinematics: displacement from times = ut + ½at²Given in the examKinematics: velocity from displacementv² = u² + 2asGiven in the exam

Sample questions (10 of 30)

A14 · Real-life graphs and kinematicsQuestion 1 of 10 · 0 correct
Practice mode· no pressure · hints available

Algebra

A14

Intermediate

A ferry's distance-time graph is a straight line from (0 minutes, 0 km) to (25 minutes, 15 km). Work out the ferry's speed in kilometres per hour.

💡 Hints:
Foundation worksheetHigher worksheetFoundation algebra practiceHigher algebra practice

Nearby statements

A1Algebraic notationA2Substitution into formulaeA3Expressions, equations, formulae, identities and inequalities

Questions people ask

Is real-life graphs and kinematics on Foundation or Higher?

Both, but not all of it. The parts the DfE prints in bold — "and exponential graphs" — are Higher only; the rest is Foundation content.

Can I use a calculator for real-life graphs and kinematics?

It depends on the paper. Paper 1 is non-calculator; Papers 2 and 3 allow one, and this topic is asked on both kinds.

What is the single most common mistake here?

Reading a horizontal section of a distance-time graph as travelling back to the start. It means stationary; a return journey slopes back down.

Are these past paper questions?

No. Every question is original, written to this DfE content statement and checked before publication. We do not host past papers or mark schemes.

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