Learn with TayoMaths Skills · Topic 25
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Module 6: Exam skills and real life · Topic 25 of 26

Exam-style mixed questions

Mixed questions like Essential Skills and Foundation GCSE papers

VIDEO LESSON Watch Mr Boston explain exam-style mixed questions
Mr Boston
Mr Boston

Exams mix topics together. The skill is spotting which maths a question needs, then showing your working clearly.

How to tackle an exam question

  1. Read the whole question twice. Underline the key numbers and what you are asked to find.
  2. Plan: which topic is this? Percentages? Area? Ratio?
  3. Show your working: you get marks for method even if the final answer is wrong.
  4. Check: estimate, use inverse operations, and include units.
  5. Watch the marks: a 1-mark question needs a quick answer; 4 marks means several steps.

Command words: Work out / Calculate (show steps), Estimate (round first), Show that (prove the given answer), Explain (use a sentence with numbers).

Worked examples

Example 1. [2 marks] Work out 35% of £240.

10% = £24, 30% = £72, 5% = £12. 35% = £72 + £12 = £84.

Example 2. [3 marks] A rectangle has an area of 48 cm² and a length of 8 cm. Find its perimeter.

Width = 48 ÷ 8 = 6 cm. Perimeter = 2 × (8 + 6) = 28 cm.

Example 3. [3 marks] Solve 4(x − 1) = 2x + 10.

4x − 4 = 2x + 10 → 2x = 14 → x = 7.

Example 4. [2 marks] Show that 2/3 of 72 is greater than 45% of 100.

2/3 of 72 = 48; 45% of 100 = 45; 48 > 45 ✓

Top tips and common mistakes

  • Non-calculator papers: practise written methods for ×, ÷ and fractions.
  • Calculator papers: write down the full calculator display before rounding.
  • If you are stuck, move on and come back later.
Tayo
Tayo

Mixed questions keep my brain on its toes. I like to guess the topic before I start!

Practise

Answer as many as you like. Every question is new, and you get a “correct” tick for each one you get right first time. Use “Show answer” to see a worked solution.

Quiz: earn your stamp

Printable worksheet

Worksheet preview: Exam-style mixed questions

Exam-style mixed questions worksheet. The questions come first and the answers for grown-ups are on the last page, so you can print just the question pages.

Download the worksheet (PDF)

Printing is optional. A4 size.