Growth, Decay and Financial Mathematics
Model repeated percentage change, interest, depreciation and growth or decay.
How to study for GCSE Mathematics
Use 601 original multiple-choice questions to learn connected methods, explain why they work, practise exact non-calculator execution and use a calculator strategically on designated papers.
Core concepts
Concept 1
Simple and compound interest
Exam cue: Choose a per-period multiplier and raise it to the number of equal periods; distinguish simple additive change from compound change.
Concept 2
Repeated percentage change
Exam cue: Apply one period manually and compare the direction and scale of the multi-period result.
Concept 3
Growth and decay models
Exam cue: Represent the information clearly, choose a justified method and communicate each step with correct notation and units.
Targeted study blocks
Tier coverage
Foundation core with Higher-tier extensions
Both tiers meet percentage and financial contexts. Higher combines exponential models, reverse processes, algebraic comparison and interpretation of repeated growth or decay.
Calculator structure
Prepare for calculator and non-calculator papers
Any part of a board's specification may be assessed on any paper. Non-calculator does not define a smaller syllabus; questions are designed so exact arithmetic and reasoning are feasible without a calculator.
Risk pitfalls and guardrails
Adding the same percentage of the original when the change compounds.
Guardrail: Do not hide an invalid model behind arithmetic: check assumptions, signs, bounds, units, scale, required accuracy and the original question.
Giving an unsupported answer when the command requires working, proof, reasoning or interpretation.
Guardrail: Do not hide an invalid model behind arithmetic: check assumptions, signs, bounds, units, scale, required accuracy and the original question.
Assuming a topic belongs only to calculator or non-calculator papers; any specification content can be assessed on any paper.
Guardrail: Any part of a board's specification may be assessed on any paper. Non-calculator does not define a smaller syllabus; questions are designed so exact arithmetic and reasoning are feasible without a calculator.
Memory anchors
Compound multiplier model
Final = initial × multiplier^number of periods.
Depreciation multiplier
1 − rate as a decimal.
Simple interest
Interest is calculated repeatedly on the original principal.
Growth, Decay and Financial Mathematics: method
Choose a per-period multiplier and raise it to the number of equal periods; distinguish simple additive change from compound change.
Growth, Decay and Financial Mathematics: check
Apply one period manually and compare the direction and scale of the multi-period result.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
Foundation · AO3 problem solving · Either paper — £800 earns 5% simple interest per year for 3 years. Find the final amount.
Shared F/H · AO3 problem solving · Calculator-permitted — £1200 is invested at 3% compound interest for 4 years. Find the balance.
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
What is Pass Harbor?
Completely free exam prep for 247 UK exams.
- Practice questions
- Flashcards
- Study guides
- Mock exams
- No registration
- No paywall
- Start instantly
“No more expensive exam prep. Quality study tools should be accessible to everyone.”