Mini Minds Hub · Free printable
Estimating Answers: Free Printable Worksheet for Year 4
- ForYear 4
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Estimating Answers is a free printable maths worksheet for Year 4 (ages 8 to 9), in Key Stage 2. Children round the numbers in a calculation to the nearest 10, then use the rounded numbers to make a quick estimate. The rule on the sheet is simple: round first, then calculate. It needs only a pencil, and page 2 gives the grown up notes, help, a stretch idea 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 meet adding, subtracting and multiplying calculations written as number sentences, mostly with two digit numbers. For each one they round the numbers to the nearest 10 and use them to make a quick estimate. There is space to write each answer. The aim is to get close, not exact, so children practise rounding, mental maths and deciding whether an answer is sensible.
- 38 + 52
- 71 - 29
- 19 x 5
- 64 + 87
- 98 - 41
- 49 + 31
- 82 - 58
- 21 x 4
A worked example
Estimate 46 + 33
This is a different question from the ones on the sheet. It shows two ways to think about rounding and estimating.
Method 1: round, then add- Look at 46. The nearest tens are 40 and 50. 46 is closer to 50, so round it to 50.
- Look at 33. The nearest tens are 30 and 40. 33 is closer to 30, so round it to 30.
- Add the rounded numbers: 50 + 30 = 80.
- Draw a line from 40 to 50 and mark the middle, which is 45. 46 is just past the middle, so it rounds up to 50.
- Draw a line from 30 to 40 and mark 35 in the middle. 33 is before the middle, so it rounds down to 30.
- Think in tens: 5 tens and 3 tens make 8 tens, which is 80.
Ideas to build estimating skills
Say the rounding rule aloud
Look at the ones digit. If it is 5 or more, round up to the next ten. If it is 4 or less, stay on the ten below. Saying the rule out loud helps it stick.
Draw a quick number line
Mark two tens and the halfway point between them. Place the number and see which ten it is nearest. This turns rounding into something children can see.
Keep the estimate small and quick
An estimate should be easy enough to do in your head. If the rounded sum feels hard, check that both numbers have been rounded to the nearest 10.
Compare estimate and exact
After finding the exact answer, ask how far away the estimate was. Children soon notice that a good estimate lands close to the real answer.
Why estimate before you calculate?
An estimate is a sensible guess made with a bit of maths. Children round the numbers to something friendlier, usually a multiple of ten, then work with those. The answer will not be exact, but it shows roughly how big the real answer should be. That makes it a quick way to plan before a calculation begins.
Estimating is also a way to check work. If a written or mental answer is far from the estimate, something has probably gone wrong and it is worth looking again. Children who get used to this habit become more careful, and they start to see numbers as quantities with a size, not just digits on a page.
Skills and curriculum link
- Rounding to the nearest 10
- Estimating calculations
- Mental maths
- Number sense
- Checking answers are sensible
This sheet supports the area below. It is matched to the published England framework. Please check it against your own school plan.
| Framework | Subject or area | Strand | Year |
|---|---|---|---|
| National Curriculum (England) | Maths | Number and place value | Year 4 |
What children will be able to do
- I can round numbers to the nearest 10.
- I can use rounded numbers to make a quick estimate.
- I can check an answer is sensible.
Ideas to help you help
- Nearest tenEvery two digit number sits between two tens. Rounding means choosing the one it is closer to.
- The halfway ruleA number exactly halfway between two tens rounds up to the higher ten. Children can learn this as a fixed rule.
- Round every numberIn a calculation, both numbers get rounded before any adding, subtracting or multiplying happens.
- Sense checkAn estimate tells you roughly what size the answer should be, so it helps spot a slip in the exact working.
Key words
- EstimateA sensible guess that is close to the real answer but not exact.
- RoundChange a number to a nearby, easier number, such as the nearest ten.
- Nearest tenThe multiple of ten that a number is closest to.
- CalculateWork out an answer using adding, subtracting, multiplying or dividing.
- ExactCompletely correct, with no rounding.
- SensibleAn answer that makes sense and is about the size you would expect.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the notes and answers.
- Do the first example together. Explain that an estimate is close, not exact.
- Ask your child to round each number first, then calculate with the rounded numbers. Talk about each choice.
- Check against the notes and answers on page 2. Ask, "How did you decide which ten to round to?"
- Come back to it another day. Repeating a familiar activity builds confidence.
Help, stretch and game ideas
If it feels too hard
Use a number line to see which ten each number is nearest. Draw the two tens either side, mark the halfway point and place the number. Say the rounded number aloud before adding or subtracting. Try a few calculations first, then return to the rest later.
To stretch confident children
Work out the exact answers and see how close each estimate was. Then write three calculations of your own for a friend. Ask them to estimate first, then check. Can you spot which estimates are closest and why?
Make it a game
Play in pairs. One player calls out a calculation. Both players guess the answer, then round and estimate on paper, then work out the exact answer. The estimate closest to the exact answer scores a point.
Mistakes to watch for
Watch forA child rounds a number ending in 5 down, for example 65 to 60.
Try thisDraw a number line from 60 to 70 and mark the middle. A number exactly halfway rounds up, so 65 goes to 70.
Watch forA child rounds only one of the two numbers, for example 43 + 28 becomes 43 + 30.
Try thisRemind them that both numbers need rounding. Say, "Round first, then calculate." Here that gives 40 + 30.
Watch forA child treats the estimate as the exact answer and does not check further.
Try thisExplain that an estimate is close, not exact. Ask them to work out the exact answer too and compare the two.
Talk about it
- How do you decide which ten a number is nearest to?
- What do you do when a number is exactly halfway?
- Why is an estimate useful before you work something out?
- How close was your estimate to the real answer?
- Can you think of a time when a rough answer is good enough?
- If your exact answer is very far from the estimate, what should you do?
Take it off the page
Door number rounding
On a walk, look at house or door numbers. Round each one to the nearest ten and say it aloud. Ask a grown up to check.
Pretend shop
Write prices on sticky notes and set up a shop at home. Round two prices to the nearest 10 pence and estimate the total before working it out.
Chalk number line
Draw a long number line on the pavement or yard with tens marked in chalk. Call a number and ask your child to stand on the ten it is nearest.
Who it is for
Parents
Sit beside your child for the first go, then let them lead. Ask why they rounded the way they did, not only what the answer is. Praise careful thinking and a good guess, even when it is not perfect.
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, so you can match it to your planning.
Home educators
Print it as part of a wider maths plan. It pairs well with real life estimating such as shopping and journeys. Because it is free to print, you can use it again for brothers and sisters or for revision later.
Where this fits in maths
Before this sheet, children build a secure sense of place value, tens and ones, and become confident with number lines and basic adding and subtracting. Knowing how numbers sit between tens makes rounding feel natural.
After this, children can round larger numbers and use estimates to check longer calculations and written methods. The habit of asking whether an answer is sensible stays useful across maths.
Check it worked
Ask these when the sheet is finished. Listen for the reasoning, not just the answer.
- How do you round 47 to the nearest 10?
- Why is an estimate useful before you work something out?
- How close was your estimate to the real answer?
Questions parents and teachers ask
- What age is Estimating Answers for?
It is written for Year 4 (ages 8 to 9), in Key Stage 2. It practises rounding to the nearest 10 and using rounded numbers to estimate, which supports the number and place value strand of the National Curriculum for England.
- What will children practise?
Children round numbers to the nearest 10 to make quick estimates of calculations. Along the way they practise mental maths and checking whether an answer is sensible, in adding, subtracting and multiplying.
- Does the sheet include answers?
Yes. Page 2 is for the grown up and includes the answers, plus notes on how to use the sheet, help for children who find it hard and a stretch idea. Keep it separate until your child has finished page 1.
- Why estimate before calculating?
An estimate shows roughly how big the answer should be. If the exact answer is far from it, the child knows to look again. It also builds number sense, because children think about size instead of just digits.
- What if my child finds it hard?
Use a number line to see which ten each number is nearest. Draw the two tens either side and mark the halfway point. Work through the first few calculations together, then let your child try more alone.
- Can teachers use it 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 helps with support and stretch for mixed ability groups.
- Do I need to print in colour?
No. The sheet prints well in black and white on plain A4 paper. It is free to print for home and classroom use, so you can print another copy whenever you want to repeat it.
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Made by Jaques of London, making games for families since 1795. A printable supports classroom learning and does not replace a teacher.