Mini Minds Hub · Free printable
Multiples: Free Printable Worksheet for Year 5
- ForYear 5
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Multiples is a free printable maths worksheet for Year 5 (ages 9 to 10). Children list multiples, decide whether a number is a multiple of another, and look for numbers that are multiples of two numbers at once. It needs only a pencil, and page 2 gives the grown up the answers, help ideas and a stretch task.
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
The sheet has eight questions on multiples, with space to write each answer. Children list the first five multiples of two different numbers, then pick out the multiples of 6 from a set of numbers. They decide yes or no for two numbers, find a multiple of 9 within a given range, and list numbers below 30 that are multiples of both 3 and 4.
- Write the first five multiples of 4
- Write the first five multiples of 7
- Which of these are multiples of 6? 14, 18, 20, 24, 30
- Is 45 a multiple of 9? Yes or no
- Is 52 a multiple of 8? Yes or no
- List the numbers below 30 that are multiples of both 3 and 4
- Which number between 30 and 40 is a multiple of 9?
A worked example
Is 85 a multiple of 5? Yes or no.
This is a different question from the ones on the sheet. It shows two ways to check.
Method 1: divide and check- A multiple of 5 divides by 5 with nothing left over.
- Try 85 ÷ 5. Ten fives make 50. That leaves 35, and 35 is seven fives.
- So 85 ÷ 5 = 17 exactly. Check: 5 × 17 = 50 + 35 = 85.
- Count in fives and look for 85: 5, 10, 15, 20 and on.
- Keep going in fives: 70, 75, 80, 85.
- The count lands on 85, so it is in the list.
What is a multiple?
A multiple of a number is what you get when you multiply that number by a whole number. The multiples of a number are the answers in its times table, and they carry on past the end of the table. Counting in steps of 4 gives the multiples of 4. Every number is a multiple of itself, and the list of multiples never stops.
Year 5 children also meet factors, which are the numbers that divide exactly into another number. Multiples and factors are two sides of the same multiplication fact, so they are often taught together. Asking which numbers are multiples of two numbers at once is a first look at common multiples. It is useful practice for fractions.
Skills and curriculum link
- Times tables
- Listing multiples
- Reasoning
- Checking with division
- Spotting patterns
Ideas that help with multiples
- Count in stepsCounting in equal jumps from zero gives the multiples of a number. Say each one aloud and keep a steady rhythm.
- Use the times tableEach multiple is an answer from the times table. If a table is shaky, say it through before starting the list.
- Check with divisionA number is a multiple of another if it divides by it with nothing left over. Try the division and see.
- Compare two listsTo find numbers that belong to two lists, write both lists in full. Then look for the ones that appear in both.
Key words
- MultipleA number you get by multiplying a number by a whole number. The multiples of 10 are 10, 20, 30 and so on.
- Times tableA list of multiples of one number, such as the 5 times table.
- FactorA number that divides exactly into another number with nothing left over.
- Common multipleA number that is a multiple of two or more different numbers.
- DivisibleA number is divisible by another if it divides exactly, with no remainder.
- RemainderWhat is left over when a number does not divide exactly.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the notes and answers.
- Read the first question aloud. Ask your child to say how they will find the multiples before they write.
- Let them choose a method: counting in steps, using a times table grid, or checking with division.
- Check together using page 2. Ask, "How do you know?" The reasoning matters as much as the answer.
- Come back to it another day and redo any question that felt tricky. Repeating a familiar sheet builds confidence.
Help, stretch and game ideas
If it feels too hard
Use a multiplication grid and highlight the row for the number. Read along the row to find its multiples. For the yes or no questions, count in steps of that number and see whether the number appears. Do a few questions at a time.
To stretch confident children
Find the first number that is a multiple of 6, 8 and 12. Then choose three numbers of your own and find the first multiple they all share. Explain to a grown up how you know it is the first.
Make it a game
Play fizz buzz. Count aloud in turn and clap on every multiple of 3. Once that feels easy, say "buzz" on multiples of 4 too. If a number is a multiple of both, clap and say it together.
Mistakes to watch for
Watch forA child starts a list of multiples with 0, or leaves out the number itself.
Try thisThe first multiple is the number times 1, so it is the number itself. Count in steps from there and say each answer aloud.
Watch forA child mixes up multiples and factors and lists numbers that divide into the target.
Try thisSay it out loud: multiples are in the times table and get bigger, while factors divide in and are never bigger than the number.
Watch forFor numbers that are multiples of two numbers, a child only writes one list and picks a number from it.
Try thisWrite both lists side by side. Tick the numbers that appear in both, and keep to any limit the question gives.
Talk about it
- How can you tell if a number is a multiple without listing them all?
- Which times tables do you find easiest, and why?
- What pattern do you notice when you count in steps of this number?
- Can a number be a multiple of more than one number? Can you find an example?
- What does it mean when there is a remainder?
- How would you explain multiples to a younger child?
Take it off the page
Skip counting walk
Walk round the garden or hall and take a step for each count. Say each multiple of a chosen number as you land on it.
Hundred square colouring
Draw a grid of numbers from 1 to 100. Colour the multiples of one number in one colour and another number in a second colour. Look at where the colours meet.
Multiple hunt
Look at house numbers, bus numbers or page numbers. Decide together whether each one is a multiple of a number you choose.
Who it is for
Parents
Sit beside your child for the first question, then let them lead. Short bursts work better than long sessions. If they get stuck, ask them to count in steps or use a times table grid. Praise the thinking, not only the answer.
Teachers
Use it as a starter or plenary on multiples and times tables, as an early finisher task or as homework. Page 2 has help, stretch and answers for mixed ability groups. The common multiples question gives you a quick way to check understanding.
Home educators
Print it as part of a wider maths plan. It pairs well with times table games and everyday number talk. Because it is free, you can print it again for brothers and sisters or for revision a few weeks later.
Where multiples fit
This sheet builds on counting in steps and learning times tables, which children work on in earlier years. Confident recall of tables makes listing multiples quicker, and listing multiples makes the tables feel more useful.
In Year 5, multiples sit alongside factors, so children often move between the two ideas. The question on numbers that are multiples of both 3 and 4 gives a first taste of common multiples. Children use multiples again when they work with fractions, for example when they need a shared denominator.
Questions parents and teachers ask
- What age is Multiples for?
It is written for Year 5 (ages 9 to 10), in Key Stage 2. Children in Year 4 or Year 6 may also find it useful, as a first go or as revision.
- What will children practise?
They list multiples, decide whether a number is a multiple of another, and look for numbers that are multiples of two numbers at once. It also builds times table recall and reasoning.
- What is the difference between a multiple and a factor?
A multiple is in the times table of a number and is found by multiplying. A factor divides exactly into the number. Multiples get bigger, while factors are never bigger than the number itself.
- What if it feels too hard?
Use a multiplication grid and highlight the row for the number. Read along the row to find its multiples. Do a few questions at a time and come back to the rest another day.
- Is it free?
Yes. It is free to print for home and classroom use. You can print it again for brothers, sisters or revision.
- Is Multiples suitable for teachers to use in class?
Yes. Teachers can use it as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing, and page 2 has help, stretch and answers.
- Is this a screen free activity?
Yes. It needs only paper and a pencil, so it works well for quiet time, rainy days and school holidays. Black and white printing on plain A4 paper is fine.
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.