Multi-step problems on money, time, ratio and area worth 3 to 6 marks, worked by hand with clear steps.
What you will learn
- Plan a multi-step problem before you calculate
- Solve money problems with offers, best buys and wages
- Work with times and durations
- Share in a ratio and scale a recipe
- Find areas and costs for compound shapes
Plan before you calculate
A problem worth 4 or 5 marks has several steps.
Write down what you need to find, then the steps to get there, and label each line of working so anyone reading it can follow it. Marks are given for each correct step, even if the final answer slips.
- Turf costs £6 per m². Delivery is £20. The lawn is 9 m by 7 m with a 3 m by 2 m corner missing.
- whole rectangle: 9 × 7 = 63 m²
- missing corner: 3 × 2 = 6 m²
- area: 63 − 6 = 57 m²
- turf: 57 × £6 = £342
- total: £342 + £20 = £362
The rest of this lesson and its 9 practice questions are locked.
In this lesson
- Plan before you calculate
- Money and time
- Ratio and best buys
- Recipes, the rest, and rounding up
- Try it: Label your working
9 practice questions, marked as you go; about 30 minutes in all.
In this unit: Non-calculator methods
Everything Paper 1 asks you to do by hand: written multiplication and division, fractions and percentages, estimating and checking, exact answers, and multi-step problems without a calculator.
- Written multiplication and division
- Fractions and percentages by hand
- Estimating and checking
- Exact answers
- Non-calculator problem solving