GCSE Reverse Percentages Word Problems Medium/Hard

Reverse Percentages (Calculator) | GCSE Maths | Medium & Hard Word Problems

This resource is a structured worksheet designed to help students develop confidence with reverse percentage problems through clear, exam-style questions.

What’s included:

• 15 carefully designed word problems
• Questions arranged in increasing difficulty
• Fully worked step-by-step answers
• Printable PDF format

Question breakdown:

• Questions 1–10: Medium difficulty (4 marks each)
• Questions 11–15: Hard problems (5 marks each), including:
  • Multi-step percentage changes
  • VAT and combined percentage problems
  • Percentage increase and decrease chains
  • Real-life contexts (population, finance, budgeting)

Skills covered:

• Using percentage multipliers
• Finding original amounts using reverse percentages
• Interpreting percentage increases and decreases
• Solving multi-step percentage problems
• Applying percentage reasoning in real-world contexts

Suitable for:

• GCSE Mathematics (Higher tier)
• Year 10–11 students
• Revision, homework, or classroom practice

Key features:

• Calculator required
• Strong focus on exam-style reasoning
• Clear and consistent methods shown
• Designed to match GCSE exam-style questions
• Ideal for independent learning and revision