M1.2 Fractions, Percentages, Finance and Algebra
Fraction-decimal-percentage equivalence, percentage change, financial contexts, expressions, formulae, equations, coordinates and linear graphs.
How to study for CCEA GCSE Mathematics
Secure fluent methods, explain mathematical reasoning and solve unfamiliar problems with a route-aware balance of non-calculator and calculator practice.
Core concepts
Concept 1
Fractions, decimals and percentages are alternative representations of a proportion and can be converted consistently.
Exam cue: Confirm the CCEA unit, tier and calculator condition before selecting a method.
Concept 2
Letters can represent variables, constants or unknowns in expressions, equations, formulae and inequalities.
Exam cue: Translate the context into an expression or equation, solve it line by line and interpret the result with money notation where needed.
Concept 3
Substitution, collecting terms, expanding a constant bracket and solving a linear equation preserve equality.
Exam cue: Show a complete mathematical chain, use appropriate notation and check that the answer is sensible in context.
Risk pitfalls and guardrails
Calculating a percentage change from the final value instead of the original value.
Guardrail: Do not import an England 9-1 convention, omit cumulative prerequisites or present a calculator display as mathematical reasoning.
Importing a topic boundary, formula sheet or paper convention from an England 9-1 board.
Guardrail: Do not import an England 9-1 convention, omit cumulative prerequisites or present a calculator display as mathematical reasoning.
Giving a calculator display or unsupported answer without the reasoning, units or accuracy the question requires.
Guardrail: M5-M8 Paper 1 is non-calculator; Paper 2 and every M1-M4 assessment use a permitted calculator.
Memory anchors
Percentage
A proportion expressed as a number of parts per 100.
Simple interest
Interest calculated from the original principal only.
Expression
A mathematical phrase without an equals sign.
Equation
A statement that two expressions are equal.
Formula
A rule connecting quantities using symbols.
Gradient
The rate at which a straight-line graph changes vertically per horizontal unit.
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
Write 0.375 as a fraction in simplest form.
Find 35% of £240.
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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