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Mathematics · Number and place value

KS2 SATs 2019 — Mathematics Papers 2 & 3: Reasoning

A free preview from the Athena Learning Library — the same lesson registered students learn from.

In this lesson: You will learn to solve multi-step money problems by finding subtotals first and keeping pounds and pence tidy.

The idea

Money problems often need more than one step: find the cost of several identical items, add the different items together, then work out change or what is left. Break the problem into those small steps and write each subtotal down — do not try to hold everything in your head.

Multiplying a price works best in pence or with a clear decimal method. A price like £2.45 multiplied by 3 can be done as 245p × 3 = 735p, which is £7.35. Mixing pounds and pence inside one calculation is where mistakes breed.

For change, subtract the total spent from the money handed over. Finally, sanity-check: change must be less than the note you paid with, and the total spent should look sensible for the items bought.

Worked example

Amir buys 3 notebooks at £2.45 each and a pen costing £1.30. He pays with a £10 note. How much change does he get?

  1. Cost of the notebooks: £2.45 × 3 = £7.35.
  2. Total spent: £7.35 + £1.30 = £8.65.
  3. Change from £10: £10.00 − £8.65 = £1.35.

Answer: £1.35

Watch out

Quick check

Try these on your own first — then reveal each answer.

1. Two tickets cost £4.50 each. How much change comes from £20?

2. Four muffins cost £1.25 each and a juice costs £2.40. What is the total cost?

Practise this concept

Reading is the first step — the concept sticks when your child answers questions on it. Registered students practise graded questions for this lesson, with instant marking and worked explanations, and the lesson is marked complete in their progress.