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Mathematics · Number and place value
Time and money problems
A free preview from the Athena Learning Library — the same lesson registered students learn from.
In this lesson: Solve problems involving money (pounds and pence) and time (durations and clock times).
The idea
Money problems become much easier if you pick one unit and stick to it: either work in pounds with decimals (£2.40) or convert everything to pence (240p). Never mix the two in one calculation. When you add or subtract amounts, line up the decimal points so pounds stay under pounds and pence under pence.
For change, count up from the price to the amount paid, or subtract carefully — and check your change by adding it back to the price.
Time problems work like a number line. To add a duration, jump to the next whole hour first, then add what is left. Remember there are 60 minutes in an hour, so minutes never reach 60 when you write a clock time.
Worked example
Amara buys 3 notebooks at £2.40 each and a pen for £5.25. She pays with a £20 note. How much change does she get?
- Cost of the notebooks: 3 × £2.40 = £7.20.
- Total spent: £7.20 + £5.25 = £12.45.
- Change: £20.00 − £12.45.
- £20.00 − £12.45 = £7.55. Check: £12.45 + £7.55 = £20.00 ✓
Answer: £7.55
Watch out
- Writing £2.40 as 2.4 and then treating the 4 as 4 pence instead of 40 pence.
- Adding times as if there were 100 minutes in an hour (09:47 + 38 minutes is 10:25, not 09:85).
- Forgetting the second step — finding the total cost but not the change.
Quick check
Try these on your own first — then reveal each answer.
1. A film starts at 09:47 and lasts 38 minutes. What time does it end?
2. How much do 4 tickets cost at £3.65 each?
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.