NumberDeep Dive

Universal Percentage Problem Method

Part of Percentage ProblemsGCSE Mathematics

This deep dive covers Universal Percentage Problem Method within Percentage Problems for GCSE Mathematics. Revise Percentage Problems in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 7

Practice

14 questions

Recall

22 flashcards

Universal Percentage Problem Method

The PIER Method:

  1. Problem - What type of percentage problem is this?
  2. Identify - What's the original amount and what's the percentage?
  3. Execute - Apply the correct formula or method
  4. Review - Does your answer make sense in context?

Key Techniques:

  • Multiplier Method: Increase by 15% → multiply by 1.15
  • Decrease by 30% → multiply by 0.7
  • Reverse Percentages: If £84 is after 20% VAT, original = £84 ÷ 1.2 = £70
  • Multiple Changes: Apply each percentage change step by step

Keep building this topic

Read this section alongside the surrounding pages in Percentage Problems. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Percentage Problems

What is the multiplier for a 30% increase?

  • A. 0.3
  • B. 0.7
  • C. 1.3
  • D. 1.03
1 markfoundation

Work out 20% of 60.

1 markfoundation

Quick Recall Flashcards

What is the formula for simple interest?
I = PRT/100 where P = Principal, R = Rate (%), T = Time (years)
A £60 item has 25% off. What do you pay?
Method 1: Discount = £60 × 0.25 = £15, Pay = £60 - £15 = £45 Method 2: Pay = £60 × 0.75 = £45 Answer: £45

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