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A Level Physics Maths Skills Worksheets with Answers

Free A-level physics maths skills worksheets with answers for AQA and OCR A: logarithms, graphs, scaling, vectors, radians and quadratic equations. Printable PDFs.

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Build confidence with the maths used in A-level physics. Eight scenario-driven worksheets develop straight-line equations, proportionality, gradients and areas, ln and log, power laws, vectors, radians and physical roots. Each has a pupil PDF and separate worked solutions with explanations of common errors.

These complete PDF pairs are approved for AQA A Level 7408 and OCR A H556. They use selected physics applications and include second-year ideas where stated. Check the printed prerequisites before assigning a sheet; the complete pairs are not labelled as AS or GCSE resources. Calculations and graphs support the mathematical skill rather than claiming complete coverage of the application topic.

A-level physics maths foundations revision

AQA and OCR A · A Level

Choose a maths skills worksheet

8 worksheets

AQA & OCR A · Shared mathematical skills

8 worksheets
Preview of Using y = mx + c in Physics Worksheet

AQA & OCR A · A Level

Using y = mx + c in Physics WorksheetUsing y = mx + c in Physics

A-level physics straight-line graphs worksheet with worked answers: choose axes, calculate gradients, interpret intercepts and linearise models in applied scenarios.

Module / section
Mathematical skills
Topic
Straight-line graphs
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills with selected spring, battery, oscillation and wire applications. The mass–spring fixture model and unfamiliar wire model are supplied. The pair is A-level only. No complete physics-topic coverage or required-practical claim; no AS or GCSE route has been approved.

Worksheet PDF Solutions PDF
Preview of Proportionality Ratios and Scaling Physics Worksheet

AQA & OCR A · A Level

Proportionality Ratios and Scaling Physics WorksheetProportionality Ratios and Scaling Physics

A-level physics proportionality worksheet with worked answers: ratios, scaling, percentage changes and inverse-square laws through applied design problems.

Module / section
Mathematical skills
Topic
Proportionality and scaling
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills with selected kinetic-energy, conductor geometry, electrical power, operating-time and gravitational-field applications. The optical detector model is supplied as a mathematical application; no nuclear-physics or complete topic-coverage claim. Entire pair is A-level only. No AS or GCSE route or required-practical tag has been approved.

Worksheet PDF Solutions PDF
Preview of Using ln and log for A Level Physics Worksheet

AQA & OCR A · A Level

Using ln and log for A Level Physics WorksheetUsing ln and log for A Level Physics

A-level ln and log worksheet with answers: learn logarithms, solve exponential equations and interpret graphs through capacitor and radioactive-decay applications.

Module / section
Mathematical skills
Topic
Logarithms and exponentials
Worksheet
7 pages
Solutions
7 pages

Guided mathematical skills with selected second-year capacitor and radioactive-decay applications. Models are supplied. No complete capacitance, radioactivity, required-practical or power-law/log-log coverage claim. Entire pair is A-level, not an AS or GCSE resource.

Worksheet PDF Solutions PDF
Preview of Gradients Tangents and Areas Physics Worksheet

AQA & OCR A · A Level

Gradients Tangents and Areas Physics WorksheetGradients Tangents and Areas Physics

A-level physics graphs worksheet with worked answers: gradients, tangents, signed areas, impulse estimates and capacitor energy in an inspection-shuttle scenario.

Module / section
Mathematical skills
Topic
Gradients tangents and areas
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills using selected motion, resultant-impulse and constant-capacitance energy applications. Each shuttle trial has a separate time origin. The capacitor buffer is for sensor electronics, not the complete traction-energy store. A-level only; no AS or GCSE route, required-practical tag, complete topic-coverage claim, SUVAT lesson or field-content claim.

Worksheet PDF Solutions PDF
Preview of Power Laws and Log Log Graphs Physics Worksheet

AQA & OCR A · A Level

Power Laws and Log Log Graphs Physics WorksheetPower Laws and Log Log Graphs Physics

A-level physics power laws and log-log graphs worksheet with answers. Find exponents and constants, interpret gradients and test cable-resistance models.

Module / section
Mathematical skills
Topic
Power laws and log-log graphs
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills: power-law transformations, exponents, intercepts, reference quantities and model choice. A resistivity application supports wire-diameter reasoning. Optical detector, attenuator and contact-sensor models are supplied mathematical applications, not complete topic coverage or additional content tags. Shared A-level pair only; no approved AS/GCSE route or required-practical tag.

Worksheet PDF Solutions PDF
Preview of Trigonometry and Vectors for Physics Worksheet

AQA & OCR A · A Level

Trigonometry and Vectors for Physics WorksheetTrigonometry and Vectors for Physics

A-level physics trigonometry and vectors worksheet with answers. Resolve forces, draw vector triangles and calculate cable tensions and work on an inclined rail.

Module / section
Mathematical skills
Topic
Trigonometry and vectors
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills through separate inspection-team configurations. Signed components, angle choice, inverse trigonometry, pupil scale construction, three-force ring equilibrium and work by an angled pull. Oblique addition uses a scale drawing; the numerical resultant check starts from supplied perpendicular components, respecting the AQA calculation boundary. The platform load is transmitted as one force on the ring. Shared A-level pair only; no automatic AS/GCSE route, required-practical tag, two-dimensional collision, moment or complete mechanics-coverage claim.

Worksheet PDF Solutions PDF
Preview of Radians Sine Cosine and Phase Worksheet

AQA & OCR A · A Level

Radians Sine Cosine and Phase WorksheetRadians Sine Cosine and Phase

A-level physics radians and phase worksheet with worked answers: use sine and cosine, choose calculator mode, draw oscillation graphs and find all trigger times.

Module / section
Mathematical skills
Topic
Radians and periodic functions
Worksheet
6 pages
Solutions
6 pages

Guided mathematical skills applied to an oscillating inspection camera head, its circular timing disc and a synchronised second head. Radians, calculator mode, signed sine/cosine models, graph construction, phase and multiple inverse-trig solutions. A separate free undamped calibration uses a supplied kinetic-energy fraction to distinguish sin squared from sine of a squared angle. Selected A-level circular-motion, SHM and energy applications; not complete topic coverage. Shared A-level pair only; no automatic AS/GCSE route or required-practical tag.

Worksheet PDF Solutions PDF
Preview of Simultaneous Equations Quadratics and Physical Roots Worksheet

AQA & OCR A · A Level

Simultaneous Equations Quadratics and Physical Roots WorksheetSimultaneous Equations Quadratics and Physical Roots

A-level physics simultaneous and quadratic equations worksheet with worked answers. Model trolley motion, handle delayed starts and select physically valid roots.

Module / section
Mathematical skills
Topic
Solving physical equations
Worksheet
6 pages
Solutions
6 pages

A guided mathematical-skills worksheet using separate alignment trials on two parallel inspection-rig lanes. Construct simultaneous position equations, eliminate an unknown, form quadratics and interpret one, two or no real encounters. Delayed clocks and finite operating intervals determine which roots describe events. A final changed starting gap produces tangency without overtaking. Selected straight-line motion applications, not complete linear-motion topic coverage. Shared A-level pair only: no automatic AS/GCSE route or required-practical tag.

Worksheet PDF Solutions PDF