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Dividing by 11 Worksheet for Year 4 (Free Printable)
- ForYear 4 (Free Printable)
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Dividing by 11 Worksheet is a free printable maths sheet for Year 4 (ages 8 to 9). It has 18 questions in three steps, then a challenge question. Children practise division facts for the 11 times table by thinking about sharing and groups. 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 on A4, give page 1 to the child and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children work through 18 short division questions, each with space to write the answer. The questions are grouped into three steps, so the sheet builds up gradually. A challenge question comes at the end for children who want to think a little harder. The focus is on knowing and using the 11 times table to divide, rather than on long written methods.
Ways to build confidence with the 11 times table
Skip count in 11s
Count aloud in steps of 11, first forwards and then stopping at different points. Write the numbers in a row. This list becomes a handy tool when a division question feels tricky.
Use counters
Share a pile of counters into groups of 11. Count how many groups you can make. This shows what dividing by 11 really means.
Link to multiplication
Division undoes multiplication. If a child knows a multiplication fact for 11, they already know a division fact. Say both facts together, one after the other.
Check by multiplying
After each answer, multiply it by 11. If you get back to the starting number, the answer is right. Children soon learn to check their own work.
Dividing by 11 in Year 4
In Year 4, the National Curriculum for England expects children to recall multiplication and division facts for the tables up to 12 times 12. The 11 times table is one of the later ones children meet. Because division facts are linked to multiplication facts, short and regular practice with the 11 times table helps children answer quickly and with confidence.
Division has two common meanings. One is sharing, where a number is shared equally between groups. The other is grouping, where we ask how many groups of a certain size fit into a number. Dividing by 11 is easiest to picture as grouping. Counters, counting sticks or simple drawings help children see the idea before they rely on memory.
Skills and curriculum link
- Division facts
- Times table recall
- Sharing and grouping
- Inverse operations
- Checking answers
Ideas that help with dividing by 11
- Division undoes multiplicationIf you know that a number of groups of 11 makes a total, you can use that to divide the total by 11.
- GroupingDividing by 11 asks how many groups of 11 fit into a number. Counters make this easy to see.
- Skip countingCounting in 11s gives a list of multiples. Children can use the list to find how many 11s are in a number.
- CheckingMultiply your answer by 11. If you reach the number you started with, your division is correct.
Key words
- DivideShare or group a number into equal parts.
- DivisorThe number you divide by. On this sheet it is 11.
- MultipleA number you reach when you count in steps of another number. Counting in 11s gives multiples of 11.
- Times tableA list of multiplication facts for one number, such as the 11 times table.
- InverseThe opposite operation. Division is the inverse of multiplication.
- GroupA set of items that belong together. Equal groups all have the same number in them.
How to use it
- Print both pages on A4. Page 1 is for the child. Keep page 2, which has the answers and notes, for the adult.
- Work through the first few questions together. Ask your child to say what each question is asking before they answer.
- Let them use counters, a list of multiples of 11 or a quick drawing if they need it. There is no single right way to work.
- Check the answers using page 2. Ask, "How did you work that out?" The thinking matters as much as the answer.
- Come back to the sheet another day. Repeating a familiar activity builds confidence, and the challenge question can wait until then.
Help, stretch and game ideas
If it feels too hard
Use counters. Share them into groups of 11 and count the groups. Write out the multiples of 11 in a row and use the list to help. Try a few questions at a time, and come back to the rest later.
To stretch confident children
Try the challenge question at the end. Then write three similar questions for a friend to answer. Check your friend's answers by multiplying each one by 11, and explain how this check works.
Make it a game
Race the clock. Set a timer and see how many questions you can get right. Write down your score, then try to beat it next time. Work from the questions you find easiest, and check each one by multiplying.
Mistakes to watch for
Watch forA child guesses the answer instead of using a fact they know.
Try thisAsk them to multiply their answer by 11. If it does not match the starting number, they try again with their list of multiples of 11.
Watch forA child mixes up the 11 times table with a neighbouring table.
Try thisWrite out the multiples of 11 by skip counting, and keep the list beside the sheet until the facts feel secure.
Watch forA child reads the question the wrong way round, as if dividing 11 by the number.
Try thisSay the question aloud as "How many groups of 11 fit into this number?" Use counters to show it.
Talk about it
- What does dividing by 11 mean? Can you show it with counters?
- How are multiplying by 11 and dividing by 11 connected?
- Which question did you find easiest, and why?
- Can you think of another way to check your answer?
- What helped you most when a question felt tricky?
- What would you ask a friend in your own division question?
Take it off the page
Counter groups
Take a pile of small objects such as buttons or pasta shapes. Share them into groups of 11 and count the groups. Say the division sentence out loud.
Chalk number line
Draw a long number line outside with chalk. Jump along it in steps of 11 and mark each landing spot. Read the multiples aloud together.
Times table chant
Say the 11 times table as a chant, then say the matching division facts. Clap the rhythm to make it easier to remember.
Who it is for
Parents
Sit beside your child for the first few questions, then let them lead. Short bursts work better than long sessions. If they get stuck, bring out counters and make groups of 11 together.
Teachers
Use it 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, and the sheet links to recall of division facts up to 12 times 12.
Home educators
Print the sheet as one part of your maths plan. It pairs well with practical counting, times table songs and everyday talk. You can print it again for revision a few weeks later.
Where this fits in children's learning
Before this sheet, children learn to share and group in equal amounts and to recall the easier times tables, such as 2, 5 and 10. These give them the idea of equal groups and the habit of using multiplication facts to divide.
After this sheet, children move on to dividing with other tables up to 12, then to dividing larger numbers using what they know. Secure recall of division facts makes later work with fractions, factors and written methods much easier.
Questions parents and teachers ask
- What age is the Dividing by 11 worksheet for?
It is written for Year 4 (ages 8 to 9) in Key Stage 2. It practises division facts linked to the 11 times table, in line with the Year 4 expectation to recall facts up to 12 times 12.
- What will children practise?
Children practise division using the 11 times table. They think about sharing and groups, and use their times table knowledge to answer short questions. The challenge question at the end encourages them to think a little further.
- How do I use the worksheet?
Print both pages on A4. Give page 1 to the child and keep page 2, which has every answer, for the adult. Work through the first questions together, then let your child try alone and check with the answers.
- What if it feels too hard?
Use counters. Share them into groups of 11 and count the groups. Writing out the multiples of 11 beside the sheet also helps. Do a few questions at a time and return to the rest on another day.
- Is it free?
Yes. The sheet is free to print for use at home or in the classroom. There is nothing to pay to use it, and it prints well in black and white on plain A4 paper.
- What is on page 2?
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. Children work only on page 1.
- 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. Counters or small objects are useful extras but are not essential.
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.