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

Real-life problems

Budgets, bills, journeys, DIY and planning, in several steps

VIDEO LESSON Watch Mr Boston explain real-life problems
Mr Boston
Mr Boston

Real-life problems use several skills at once, just like the Essential Skills tasks. Let’s plan a family day out and decorate a bedroom!

A plan for multi-step problems

  1. List what you know and what you need to find.
  2. Break the problem into small steps.
  3. Do each calculation and label it (“cost of tickets”, “total area”).
  4. Round sensibly: you cannot buy 2.3 tins of paint, so buy 3.
  5. Answer the question in a sentence with units.

Worked examples

Example 1. A family of 2 adults and 3 children visits a farm park. Adults £12.50, children £8.75. They have a voucher for 10% off. What do they pay?

Adults 2 × £12.50 = £25. Children 3 × £8.75 = £26.25. Total £51.25. 10% off = £5.125, so they pay £51.25 − £5.125 = £46.125 ≈ £46.13.

Example 2. A wall is 4 m wide and 2.5 m high. One tin of paint covers 6 m². Two coats are needed. How many tins?

Area = 4 × 2.5 = 10 m². Two coats = 20 m². 20 ÷ 6 = 3.33…, so buy 4 tins.

Example 3. A car uses 6 litres of fuel per 100 km. Fuel costs £1.45 per litre. What does a 250 km trip cost?

Fuel = 250 ÷ 100 × 6 = 15 litres. Cost = 15 × £1.45 = £21.75.

Top tips and common mistakes

  • Round up when you need “enough” (tins, buses, boxes); round down when you can only make complete items.
  • Write money to 2 decimal places.
  • Check the answer is realistic: a day out costing £4,613 would be wrong!
Tayo
Tayo

We used this exact method to plan our holiday budget. Maths really is for real life!

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: Real-life problems

Real-life problems 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.