Money Word Problems Made Easy (With Worked Examples)
Money word problems worry students more than the maths inside them deserves. Strip away the pound signs and the shopping-list dressing, and it's almost always a plain addition, subtraction, multiplication, or division question underneath.
The trick is deciding which operation the words are actually describing, before touching any numbers.
Subtraction: working out what's left
Tom has £15 and spends £6.50 on a book. How much does he have left? "Spends" and "left" both signal subtraction: £15 − £6.50 = £8.50.
Multiplication: the same amount, several times
Sarah buys 3 items at £2.20 each. What's the total? Buying several of the same item at a fixed price means multiplication: 3 × £2.20 = £6.60.
Division: sharing a total equally
A pizza bill of £24 is split evenly between 4 friends. How much does each person pay? Sharing a total equally means division: £24 ÷ 4 = £6 each.
Combining operations: saving over time
If you save £5 a week for 8 weeks, how much will you have? This is repeated addition, so multiplication does the job quickly: 8 × £5 = £40.
Real-life example: paying and getting change
An item costs £12.99, and you pay with a £20 note. The change is £20 − £12.99 = £7.01. Working this out mentally, round £12.99 up to £13 first: £20 − £13 = £7, then add back the extra 1p you rounded up by: £7 + £0.01 = £7.01.
Practice questions
- £20 − £13.75 = ? Answer: £6.25
- 4 pens at £1.50 each. Total cost? Answer: £6.00
- An £18 bill is split between 3 people. How much each? Answer: £6 each
- Save £4 per week for 10 weeks. Total saved? Answer: £40
- An item costs £12.99. You pay with a £20 note. Change? Answer: £7.01
Common mistakes I see in the classroom
The most common one is picking an operation based on a single keyword without reading the full sentence — seeing "each" and assuming division, when the question is actually asking for a multiplication total.
Another frequent mistake is losing track of the decimal point when working with pounds and pence, especially in subtraction, giving an answer like £5.75 instead of the correct £0.575, or vice versa.
Tips for parents
Real receipts are ready-made money word problems. Handing your child a receipt and asking them to work out the total spent on just one category of item builds the same skill as a textbook question, using something genuinely from your own shopping trip.
Tips for teachers
I always ask students to underline the operation word before writing a single number — "spent," "left," "each," "split," "total." That short pause prevents most of the wrong-operation mistakes I see in a typical set of homework.
How step-by-step learning tools help
A step-by-step maths tool can show exactly which operation a money word problem needs and why, working through the calculation with the decimal point handled carefully, and offer unlimited fresh money problems for a child to practise at their own pace.
Frequently asked questions
How do I know which operation a money word problem needs? Look for key words — "spent" or "left" usually mean subtraction, "each" or "total for several" usually mean multiplication, and "split" or "share equally" usually mean division.
Why do students find money word problems harder than plain sums? The extra wording, and keeping track of decimal points in pounds and pence, add a layer of reading and care that a plain number sentence doesn't need.
At what age do children start money word problems? Simple addition and subtraction with money usually starts around age 6 to 7, with multiplication, division, and decimal amounts following from age 8 to 9.
What's the easiest way to check a money answer? Estimate first by rounding the amounts to the nearest pound, then compare your exact answer to that estimate to catch any big mistakes.
Do money word problems ever need more than one operation? Yes — a problem might need you to multiply to find a total, then subtract to find change, or divide to share it, all in the same question.
It's a Sum in Disguise
Every money word problem is a familiar sum wearing a pound sign and a short story around it. Once a child learns to spot the operation hiding underneath the words, the shopping trips and pocket money stop being distractions, and start being exactly the clue that points to the right method.
