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Fraction Decimal Percent Vault: Free Printable Worksheet for Year 8
- ForYear 8
- StageKey Stage 3
- CostFree
- FormatPrintable PDF
Fraction Decimal Percent Vault is a free printable maths worksheet for Year 8 (ages 12 to 13), in Key Stage 3. Children fill in a table to open the vault. They move between fractions, decimals and percentages, including recurring decimals and percentages over 100. 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 and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children complete a table with three columns: fraction, decimal and percentage. Every row shows one amount written in three ways, so children use what is given to fill in what is missing. The sheet includes recurring decimals and percentages over 100, which need more care than the simple conversions. Children are asked to do each row on scrap paper first, then write the result in the table.
- Fraction
- Decimal
- Percentage
Worked example: one fraction, two methods
Write 7/25 as a decimal and as a percentage.
This example uses a different fraction to show two methods. Use the same methods on the sheet.
Method 1: scale to hundredths- Look at the denominator, 25. Ask what you multiply 25 by to reach 100. The answer is 4.
- Multiply the numerator by the same number: 7 × 4 = 28.
- So 7/25 = 28/100. That is 0.28 as a decimal and 28% as a percentage.
- A fraction is a division. Divide the top by the bottom: 7 ÷ 25.
- Write 7 as 7.00. 25 goes into 70 twice with 20 left. 25 goes into 200 eight times. So 7 ÷ 25 = 0.28.
- Multiply by 100 to get a percentage: 0.28 × 100 = 28%.
How the three forms connect
Fractions are divisions
The line in a fraction means divide. The top number is divided by the bottom number. This is the quickest way to find a decimal when no other method is obvious.
Use 100 as the bridge
Percent means out of 100. A decimal with two places is a number of hundredths. So 100 links all three forms together.
Build from facts you know
Learn a few fraction and decimal pairs well. Then double them, add them or combine them to find related ones instead of starting from scratch.
Check the size
A fraction less than one gives a decimal less than one and a percentage less than 100. A quick estimate catches many slips.
Three ways to write the same amount
Fractions, decimals and percentages are three ways of showing a part of a whole. They are not three different ideas. A fraction shows parts of equal size, a decimal uses place value, and a percentage counts parts out of 100. Being able to switch between them helps children compare amounts, read information and work with money and measures.
Some fractions give decimals that never end. When you divide, the same remainder keeps coming back, so the same digits repeat for ever. These are called recurring decimals. Percentages can also go over 100. That simply means more than one whole. Year 8 is a good time to meet both ideas with confidence.
Skills and curriculum link
- Converting between forms
- Fractions as division
- Recurring decimals
- Percentages over 100
- Place value
- Checking answers
Ideas that help with the table
- Percent means out of 100A percentage is a fraction with a denominator of 100. Turning a number into hundredths is a reliable route to a percentage.
- A fraction is a divisionThe top number is divided by the bottom number. Use short division or scrap paper to find the decimal.
- Recurring means repeatingSome divisions never finish. The same digit or group of digits repeats for ever, and a dot above the digits shows this.
- Over 100% is more than a wholeOne whole is 100%. An amount bigger than one whole is more than 100%, and as a decimal it is more than 1.
Key words
- NumeratorThe top number of a fraction. It tells you how many parts you have.
- DenominatorThe bottom number of a fraction. It tells you how many equal parts make one whole.
- PercentageA number out of 100. The symbol is %.
- Recurring decimalA decimal whose digits repeat for ever in a pattern.
- EquivalentHaving the same value, even when written in a different way.
- ConvertChange an amount from one form to another without changing its value.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the notes and answers.
- Read the heading and the table together. Ask your child which part of each row they already know.
- Let them do each row on scrap paper first. Remind them that the top is divided by the bottom to find a decimal.
- Check together using page 2. Ask, "How did you get that?" The method matters as much as the answer.
- Come back another day and redo any rows that felt tricky. Repeating a familiar sheet builds confidence.
Help, stretch and game ideas
If it feels too hard
Start with the rows that look easiest and leave the recurring ones until later. Write each decimal as hundredths to find the percentage. Use one fraction you know well to build a related one, for example by adding or multiplying. Say each step out loud.
To stretch confident children
Choose a completed row and use it to find a fraction of an amount. Then make up an amount of your own and solve it two ways. Explain to a grown-up why both methods give the same answer.
Make it a game
Make a vault for a friend. Draw a blank table with three columns. Fill in some boxes, leaving gaps so each row can still be solved. Swap tables, solve each other's on scrap paper, then check the results together by dividing.
Mistakes to watch for
Watch forA child divides the bottom number by the top number and gets a decimal that is far too large.
Try thisRemind them that the top is divided by the bottom. Ask whether the fraction is less than one whole. If it is, the decimal must be less than 1.
Watch forA child rounds a recurring decimal and writes it as if it were exact.
Try thisShow that the digits keep repeating. Write the repeating digits a few times, or use the dot notation, and talk about why rounding is only close.
Watch forA child thinks a percentage can never be more than 100.
Try thisExplain that 100% means one whole. If the amount is bigger than one whole, the percentage is bigger than 100. Link it to a decimal bigger than 1.
Talk about it
- How do you know whether a fraction is less than one whole or more?
- Which form do you find easiest to picture, and why?
- Why does dividing the top by the bottom give a decimal?
- What happens when the same digits keep repeating? Why does that happen?
- Where might you see percentages in real life?
- How could you check a row using a different method?
Take it off the page
Hundred square shading
Draw a ten by ten grid and shade parts of it. Write what you have shaded as a fraction, a decimal and a percentage.
Paper strip folding
Fold a long strip of paper into equal parts. Label each fold with a fraction, then work out the matching decimal and percentage.
Percentage hunt
Look for percentages on packaging, signs and leaflets with a grown-up. Talk about what each one means as a fraction and as a decimal.
Who it is for
Parents
Sit beside your child for the first row, then let them lead. Ask them to explain each choice. Praise careful thinking, not only correct answers. If they get stuck, suggest scrap paper and the divide method.
Teachers
Use it as a starter, a plenary after teaching conversions, an early finisher task or a supply cover resource. It needs no preparation beyond printing. Page 2 has support and stretch ideas for mixed ability groups.
Home educators
Print it as part of a wider maths plan. It works well for revision and can be reused for brothers and sisters. Pair it with everyday talk about prices, discounts and measures.
Where this fits in the maths journey
Before this sheet, children learn that fractions show equal parts and that a fraction can be read as a division. They also learn place value in decimals and that percent means out of 100. Confidence with these ideas makes conversions much easier.
After this skill, children use percentages in problems such as increase and decrease, and meet ratio and proportion. Fluent conversion between the three forms supports later work in Key Stage 3 and beyond, including algebra with fractions.
Questions parents and teachers ask
- What age is Fraction Decimal Percent Vault for?
It is written for Year 8 (ages 12 to 13), in Key Stage 3. It also works as revision for older children or as a stretch task for confident Year 7 learners.
- What will children practise?
They convert between fractions, decimals and percentages, including recurring decimals and percentages over 100. This matches the Key Stage 3 number strand of the National Curriculum for England.
- Is it free?
Yes. It is free to print for home and classroom use. You can print it again for brothers, sisters or revision a few weeks later.
- How do I use it?
Print both pages and give page 1 to the child. They do each row on scrap paper first, dividing the top by the bottom to find a decimal. Check with page 2 afterwards.
- What if it feels too hard?
Start with the rows that look easiest and come back to the rest later. Build related fractions from one you know well. Page 2 has help ideas for children who find it hard.
- Is it a screen free activity?
Yes. It needs only paper and a pencil, so it suits quiet time, rainy days and school holidays. Scrap paper is useful for the working out.
- Can teachers use it in class?
Yes. It works as a starter, a plenary, an early finisher task, homework or a table activity. It needs no preparation beyond printing, and page 2 includes answers and a stretch task.
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.