Percentages: Increase & Decrease — GCSE Mathematics Revision
Revise Percentages: Increase & Decrease for GCSE Mathematics. Step-by-step explanation, worked examples, common mistakes and exam-style practice aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP.
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Go to Percentage Change & Reverse PercentagesWhat is Percentages: Increase & Decrease?
Percentages: Increase & Decrease belongs to Number in GCSE Mathematics. The reliable way to revise it is to learn the trigger condition, write the first method line clearly, and practise enough variations that you can spot when the standard method needs adapting. For GCSE Maths, protect method marks by showing each transformation rather than jumping to the final answer.
Board notes: AQA, Edexcel and OCR differ in wording and calculator/non-calculator balance. Use this as a method lesson, then check your board specification and past-paper style for exact demand.
Step-by-step explanationWorked example
For a Percentages: Increase & Decrease question, first classify the problem: what information is given, what form should the answer take, and which rule from Number applies? Write the method line, carry out each transformation cleanly, then substitute or check the result against the original condition. This creates a mark-scheme-friendly answer even when the arithmetic is demanding.
Mini lesson for Percentages: Increase & Decrease
1. Understand the core idea
Percentages: Increase & Decrease belongs to Number in GCSE Mathematics. The reliable way to revise it is to learn the trigger condition, write the first method line clearly, and practise enough variations that you can spot when the standard method needs adapting.
Can you explain Percentages: Increase & Decrease without copying the notes?
2. Turn it into marks
For a Percentages: Increase & Decrease question, first classify the problem: what information is given, what form should the answer take, and which rule from Number applies? Write the method line, carry out each transformation cleanly, then substitute or check the result against the original condition.
Underline the method, evidence, or command-word move that would earn credit in GCSE Number.
3. Fix the likely mark leak
Watch for this mistake: Starting calculations before identifying the exact form of the question.
Write one correction rule before doing another practice question.
Practise this topic
Jump into adaptive, exam-style questions for Percentages: Increase & Decrease. Free to start; sign in to save progress.
Percentages: Increase & Decrease practice questions
These are original StudyVector questions for revision practice. They are not official exam-board questions.
Question 1
In one GCSE sentence, explain what Percentages: Increase & Decrease is testing.
Answer: Percentages: Increase & Decrease belongs to Number in GCSE Mathematics. The reliable way to revise it is to learn the trigger condition, write the first method line clearly, and practise enough variations that you can spot when the standard method needs adapting.
Mark focus: Precise definition and topic focus.
Question 2
A student sees a Percentages: Increase & Decrease question but is not sure how to start. What should the first method line establish?
Answer: It should identify the rule, equation, diagram feature, or transformation before any calculation. That protects method marks and makes later checking easier.
Mark focus: Method selection and command-word control.
Question 3
A student makes this mistake: "Starting calculations before identifying the exact form of the question." What should their next repair task be?
Answer: Do one Percentages: Increase & Decrease question where the method is obvious, then rewrite the first line so it would earn a method mark.
Mark focus: Error correction and next-step practice.
Targeted practice plan
- 1Do one Percentages: Increase & Decrease question where the method is obvious, then rewrite the first line so it would earn a method mark.
- 2Do one mixed Number question and identify the exact trigger that tells you it is testing Percentages: Increase & Decrease.
- 3Redo the same question without notes and check final form, units, rounding and whether every algebra line follows.
Percentages: Increase & Decrease flashcards
Core idea
What is the main idea in Percentages: Increase & Decrease?
Percentages: Increase & Decrease belongs to Number in GCSE Mathematics. The reliable way to revise it is to learn the trigger condition, write the first method line clearly, and practise enough variations that you can...
Common mistake
What mistake should you avoid in Percentages: Increase & Decrease?
Starting calculations before identifying the exact form of the question.
Practice
What is one useful practice task for Percentages: Increase & Decrease?
Do one Percentages: Increase & Decrease question where the method is obvious, then rewrite the first line so it would earn a method mark.
Exam board
How should you use board notes for Percentages: Increase & Decrease?
AQA, Edexcel and OCR differ in wording and calculator/non-calculator balance. Use this as a method lesson, then check your board specification and past-paper style for exact demand.
Common mistakes
- 1Starting calculations before identifying the exact form of the question.
- 2Skipping algebraic or numerical working that the mark scheme would credit.
- 3Not checking whether the final answer needs units, exact form, a diagram interpretation, or a stated conclusion.
Percentages: Increase & Decrease exam questions
Exam-style questions for Percentages: Increase & Decrease with mark-scheme style solutions and timing practice. Aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP specifications.
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Step-by-step method
Step-by-step explanation
4 steps · Worked method for Percentages: Increase & Decrease
Core concept
Percentages: Increase & Decrease belongs to Number in GCSE Mathematics. The reliable way to revise it is to learn the trigger condition, write the first method line clearly, and practise enough variat…
Frequently asked questions
How do I get better at Percentages: Increase & Decrease?
Practise in short sets: one easy recognition question, one standard method question, and one mixed question. After each attempt, mark the first line and the final check separately.
What loses marks in Percentages: Increase & Decrease?
Most lost marks come from wrong method selection, missing intermediate steps, or an answer that is mathematically correct but not in the requested form.