Understand relationships where one value depends on another
In this chapter, you'll master Proportion problem-solving, an essential topic for GCSE Mathematics success. This builds on your Year 8 knowledge and prepares you for GCSE Foundation and Higher tier exams.
This topic appears regularly in both Foundation and Higher tier GCSE papers.
Use these skills in science, engineering, and everyday problem-solving.
This foundation is essential for A-level Mathematics and beyond.
Question: Solve this Proportion problem-solving problem using the method you've learned.
Solution:
Step 1: Identify what the question is asking
Step 2: Apply the correct method
Step 3: Calculate carefully
Step 4: Check your answer makes sense
Answer: [Solution here]
Question: Solve this Proportion problem-solving problem using the method you've learned.
Solution:
Step 1: Identify what the question is asking
Step 2: Apply the correct method
Step 3: Calculate carefully
Step 4: Check your answer makes sense
Answer: [Solution here]
Question: Solve this Proportion problem-solving problem using the method you've learned.
Solution:
Step 1: Identify what the question is asking
Step 2: Apply the correct method
Step 3: Calculate carefully
Step 4: Check your answer makes sense
Answer: [Solution here]
Question: Solve this Proportion problem-solving problem using the method you've learned.
Solution:
Step 1: Identify what the question is asking
Step 2: Apply the correct method
Step 3: Calculate carefully
Step 4: Check your answer makes sense
Answer: [Solution here]
Question: Solve this Proportion problem-solving problem using the method you've learned.
Solution:
Step 1: Identify what the question is asking
Step 2: Apply the correct method
Step 3: Calculate carefully
Step 4: Check your answer makes sense
Answer: [Solution here]
Test your understanding with these GCSE-style questions:
Learn from typical GCSE errors students make!
What students often do wrong:
Students rush and miss key words or information in the question.
Correct approach: Read every word carefully. Highlight key information. Check what the question actually asks for.
Memory tip: Spend 30 seconds reading and understanding before you start solving!
What students often do wrong:
Students make calculation mistakes, especially with negative numbers or fractions.
Correct approach: Double-check all calculations. Use inverse operations to verify answers.
Memory tip: Calculator allowed? Use it! Not allowed? Check your working twice.
What students often do wrong:
Students write only the final answer, losing method marks if they make a mistake.
Correct approach: Show clear step-by-step working. Even if you get the answer wrong, you can earn method marks.
Memory tip: In GCSE, showing working can earn you up to 80% of marks even with wrong final answer!
If the question says 'show that', you must show every step clearly.
You've mastered Proportion problem-solving!
Next Section: Algebra - Expressions & Formulae