Free worksheet and solutions · OCR A A Level · H556
Proportionality Ratios and Scaling Physics Worksheet
A-level physics proportionality worksheet with worked answers: ratios, scaling, percentage changes and inverse-square laws through applied design problems.
What is covered
Questions and skills covered
The worksheet contains 6 pages of printable questions. A separate 6-page solutions PDF makes it easy to mark, review or share answers after the activity.
- Factors and percentage changes
- Simultaneous changes in mass, speed, length and diameter
- Resistance and mass ratios for circular conductors
- Constant-current and constant-voltage heating comparisons
- Combined battery-energy and power ratios
- Testing a supplied inverse-square detector model
- Selecting a design against mass, loss and time constraints
- Planetary field-strength ratios using radius plus altitude
About this activity
Remote environmental station redesign: conductor geometry, mass and heating, optical detector positioning, battery runtime, then transfer to a planetary probe.
Before you start
Powers and square roots; Resistance, density, energy and power models; Interpreting a supplied inverse-square model
Specification fit
This shared PDF includes the applicable boards’ references and a board-neutral footer. Choose an eligible course below and check the scope before assigning it.
- AQA A Level 7408 · Mathematical skills · 3.4.1.7, 3.4.1.8, 3.4.2.1, 3.5.1.3, 3.5.1.4, 3.7.2.2
- OCR A A Level H556 · Mathematical skills · 3.2.4(a), 3.3.2(a), 3.3.3(a), 4.2.4(a)(i), 4.2.4(b), 4.2.5(a), 4.2.5(b), 5.4.1(b), 5.4.2(b)
OCR A A Level Physics Worksheets
H556 · 3.2.4(a), 3.3.2(a), 3.3.3(a), 4.2.4(a)(i), 4.2.4(b), 4.2.5(a), 4.2.5(b), 5.4.1(b), 5.4.2(b)
Choose the correct pathway: 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.
Classroom use
Use the worksheet for class practice, homework, intervention, cover work or revision. Keep the PhysicsUK attribution intact when sharing copies with pupils.
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Use the diagnostic map to choose one or two worksheets. Keep your qualification and tier, and follow each PDF’s printed replacement instructions. The diagnostic score is not a grade prediction.