Mini Minds Hub · Free printable
Percentage Change Sports Shop: Free Printable Worksheet for Year 8
- ForYear 8
- StageKey Stage 3
- CostFree
- FormatPrintable PDF
Percentage Change Sports Shop is a free printable maths worksheet for Year 8 (ages 12 to 13). Pupils work out the new price of sports items after a rise or a fall, filling in a table with the old price, the change and the new price. Page 2 gives the grown up notes, help ideas, a stretch task and the answers.
It comes from the Mini Minds Hub, the free library of printables from Jaques of London, the British games and toy company that has been making games for families since 1795. Print both pages, give page 1 to your child or class and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children fill in a table for a pretend sports shop. Each row has an item, an old price, a change and a space for the new price. The changes are rises and falls, so pupils must decide whether to add or take away. They find the amount of the change first, then work out the new price. A short note reminds them to find 10% first and build up, and to use a calculator only to check.
- Item
- Old price
- Change
- New price
Worked example: a percentage rise
A tennis racket costs £180. The price rises by 30%. What is the new price?
This is a different question from the sheet. It shows a rise. For a fall, the method is the same, but you take the change away at the end.
Method 1: build up from 10%- Find 10% of £180. Divide by 10 to get £18.
- 30% is three lots of 10%. So 3 × £18 = £54.
- The price rises, so add the change to the old price: £180 + £54 = £234.
- A rise of 30% means the new price is 100% + 30% = 130% of the old price.
- 130% as a decimal is 1.3.
- Multiply: £180 × 1.3 = £234.
Building up from 10%
Start with 10%
Divide the old price by 10. This is the building block for most percentages that children meet at this level.
Make other tens
Multiply the 10% amount to get 20%, 30% or 40%. For example, 30% is three lots of 10%.
Halve for 5%
Halve the 10% amount to find 5%. Combine it with other amounts to reach values such as 15% or 35%.
Add or take away
Rise means add the change to the old price. Fall means take it away. Read the word in the table before you calculate.
Why percentage change matters in shops
Percent means out of one hundred. Shops use percentages all the time. A sale sign might show a price cut, and a supplier might raise prices when costs go up. Percentages let us describe a change in a way that makes sense whatever the price. That is useful when comparing a cheap item with an expensive one.
A percentage change is always measured against the old price, which is the starting amount. The same change in pounds is a bigger percentage of a small price than of a large one. Sports shop prices give pupils everyday, realistic amounts to practise with, and checking whether a new price looks sensible is a good habit.
Skills and curriculum link
- Percentage increase
- Percentage decrease
- Percentages of amounts
- Mental calculation
- Working with money
- Checking answers
Ideas that help with percentage change
- Percent means per hundredFifty percent is the same as one half, and twenty five percent is the same as one quarter. Knowing these links makes mental work quicker.
- Always start from the old priceThe percentage is taken from the original amount, not from the new one. Say "of the old price" out loud each time.
- Estimate firstBefore calculating, ask whether the new price should be higher or lower, and roughly by how much. This helps children spot a slip.
- Check with a different methodIf you built up from 10%, try a multiplier or a quick estimate. Two routes to the same answer builds trust in the result.
Key words
- PercentageA number out of 100. The symbol is %.
- IncreaseA rise. The new amount is bigger than the old amount.
- DecreaseA fall. The new amount is smaller than the old amount.
- Percentage changeThe size of a change written as a percentage of the old amount.
- Old priceThe original price before any rise or fall.
- MultiplierA number you multiply by to get the new amount in one step.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the notes and answers.
- Read the table headings together: item, old price, change and new price. Check your child knows what each column means.
- Before each row, ask whether the new price will go up or down. Then work out 10% of the old price and build up from there.
- Use a calculator only to check. Ask your child to explain how they got each new price.
- Check against page 2. Come back another day and redo any rows that felt tricky.
Help, stretch and game ideas
If it feels too hard
Give your child a method card. Write 10% means divide by 10, 5% means half of 10%, and 25% means a quarter. Start with the rows that use the easiest percentages. Say each step aloud, then decide whether to add or take away.
To stretch confident children
Ask pupils to find the percentage change when £40 becomes £50. Then ask what happens if a price rises by 10% and then falls by 10%. Is it back where it started? Pupils test this with prices of their own and explain what they find.
Make it a game
Make up a new shop with your own items, old prices and changes. Write the new prices on a separate piece of paper. Swap shops with a friend, solve each other's tables, then check the answers together. Take turns to be the shopkeeper.
Mistakes to watch for
Watch forA child adds the percentage as pounds. A 30% rise on £60 becomes £60 + £30.
Try thisAsk what 30% of £60 is first. Find 10%, then build up. The change is a part of the old price, not the percentage number itself.
Watch forA child finds the change but stops, and writes it as the new price.
Try thisUnderline the column heading New price. Ask, "Is this the change or the whole price?" Then add or take away to finish.
Watch forA child takes the percentage of the new price instead of the old price.
Try thisRemind them the change is always measured from the old price. Circle the old price before starting, and use only that number.
Talk about it
- Do you expect the new price to be bigger or smaller than the old price? How do you know?
- Why is finding 10% such a helpful first step?
- How could you find 5% if you already know 10%?
- Is a rise of 10% on a cheap item the same amount of money as 10% on an expensive one? Why not?
- Which method did you like best, and why?
- Where have you seen a percentage change in a real shop or advert?
Take it off the page
Sale sign hunt
Look at shop windows or adverts with your family. Pick a sale price, then estimate the old price and the amount saved. Check your estimate with a calculator.
Pretend sports shop
Make price labels from scrap paper for items at home. Write an old price and a rise or fall on each. A partner works out the new price and writes it on the back.
Receipt check
Look at a shopping receipt together. Pick one item and find 10% of its price in your head. Then say what price it would be after a rise of that amount.
Who it is for
Parents
Sit with your child for the first row, then let them lead. Ask them to explain how they found each new price. Short sessions work well. If they get stuck, offer the 10% method card from page 2.
Teachers
Use it as a starter, plenary, early finisher task, homework or supply cover. It needs no preparation beyond printing. Page 2 gives support and stretch ideas for mixed ability groups, and the answers make marking quick.
Home educators
Use it as part of a wider maths plan, alongside real shopping or budgeting talk. It is free to print again for revision or for brothers and sisters. Ask learners to explain their method in their own words.
Where this fits in maths
Before this sheet, pupils should be comfortable finding a fraction, decimal or percentage of an amount, and know that 10% means dividing by 10. Mental multiplication and division and working with money also help.
After this skill, pupils can move on to finding a percentage change when they know both prices, and later to harder problems such as working backwards from a new price and repeated percentage changes.
Questions parents and teachers ask
- What age is Percentage Change Sports Shop for?
It is written for Year 8 (ages 12 to 13), in Key Stage 3. It also works as revision for older pupils or as stretch for confident Year 7 learners who already find percentages of amounts.
- Do children need a calculator?
No. The sheet says to use a calculator only to check. Pupils should work out 10% first, then build up. The aim is to practise mental methods and use the calculator as a way of confirming answers.
- How long does it take?
It depends on the child. There is no fixed time, so let pupils work at their own pace. If they tire, stop and come back another day. Repeating a familiar sheet builds confidence.
- What if it feels too hard?
Give a method card showing 10%, 5% and 25%. Start with the rows using the easiest percentages, and say each step aloud. Page 2 has help ideas for children who find it hard.
- Does page 2 include the answers?
Yes. Page 2 is for the grown up. It has notes on how to use the sheet, help for children who find it hard, a stretch idea and the answers. Keep it separate until your child has finished.
- Can teachers use it in class?
Yes. It works as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing. Page 2 gives support and stretch ideas for mixed ability groups.
- How does it link to the National Curriculum?
It supports the Key Stage 3 maths aim to solve problems involving percentage change. Pupils calculate percentage increases and decreases of amounts. It is practice that supports classroom learning, not a replacement for it.
Preview the full PDF
Made by Jaques of London, making games for families since 1795. A printable supports classroom learning and does not replace a teacher.