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All Year 3 topics

Year 3 Addition and Subtraction Worksheets

Imaginesis: printable Year 3 Addition and Subtraction maths worksheets for England (National Curriculum) — Finding the Missing Number in Box Equations, Adding and Subtracting Full Hundreds and Tens, Column Addition and Subtraction up to Three Digits: word problems with hints, answers and worked solutions as PDF, also as an A/B test.

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Sample word problems

Ada fills 25 cups with orange juice using the first machine on the cafeteria counter. She starts the second machine to squeeze more juice until she fills 39 cups in all. How many cups did Ada fill with the second machine?

Hint: Think about how many cups you need to add to 25 to reach 39. What can you take away from 39 to find that missing part?

Answer: 14

A fossil storeroom holds 250 fossil snails, and a dig sends another 200 snails. How many fossil snails are in the storeroom now?

Hint: Only the hundreds digit changes.

Answer: 450

One crate by the potting shed door holds 528 seed packets, and another crate holds 176 seed packets. Add the numbers in columns, placing each digit under the correct place value, to find how many seed packets are in the crates in all.

Hint: Line up the numbers so the ones are under the ones, the tens under the tens, and the hundreds under the hundreds. Start by adding the ones on the right, and remember to carry over to the tens column if the sum is ten or more.

Answer: 704

Objectives in this topic

Finding the Missing Number in Box Equations

Children learn to find the unknown value in addition and subtraction equations where an empty box stands for a missing number, balancing both sides of the equals sign.

Y1.AS.4 solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = □ – 9.
Y2.AS.5 recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.
Y3.AS.4 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.
Y3.MD.3 solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects.
Y5.MD.10 solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

In Year 3, children solve missing number problems with numbers up to 1000 using addition, subtraction, place value, and known number facts. They learn to identify what number belongs in an empty box to make an equation true, using the inverse relationship between operations to work out whether they need to add or subtract.

A common mistake occurs when children see the equals sign simply as a command to calculate with the numbers they see. For example, in an equation like □ − 30 = 50, a child might instinctively subtract 30 from 50 to get 20, missing that the starting number must be greater than the amount taken away.

Worksheet tasks present these challenges in several practical ways, from finding a missing addend and calculating a box in subtraction to solving for a box in a sum of three numbers. Visual formats such as a balanced scale also help children see how much a hidden block must weigh to keep both sides equal.

Adding and Subtracting Full Hundreds and Tens

Children learn to add and subtract multiples of 10 and 100 with numbers up to 1,000 by adjusting the correct place-value column.

Y2.AS.2 recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
Y3.NPV.1 count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
Y2.AS.3.b a two-digit number and tens
Y3.AS.1.c a three-digit number and hundreds

In Year 3, children work with numbers up to 1,000, learning to mentally add and subtract full hundreds and tens with three-digit numbers. Using their known addition and subtraction facts, they recognise place-value patterns so that when adding or subtracting full hundreds (such as 345 + 200 or 682 − 300), only the hundreds digit changes while the tens and ones remain untouched.

A common error occurs when children lose track of place value and alter the wrong digits. For example, a child calculating 524 + 300 might mistakenly change the tens or ones columns, or round off the existing digits to write 800 instead of 824 because they focus entirely on the full hundreds.

Worksheet tasks reinforce these mental strategies through varied calculation formats. Children practice jumping along number lines by full hundreds—including taking two jumps in a row—and taking away full hundreds. They also work on finding how many hundreds were added, determining what is missing to make both sides equal, and spotting and fixing calculation mistakes.

Column Addition and Subtraction up to Three Digits

Children learn to add and subtract numbers with up to three digits using formal column methods within 1000.

Y3.AS.2 add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction

In Year 3, children learn to set out calculations in vertical columns to add and subtract numbers with up to three digits. Working within 1000, they line up digits by place value and calculate from right to left, moving from the ones to the tens and hundreds. This includes adding two or three numbers together as well as carrying out column subtraction.

A common difficulty occurs when regrouping is required. In column subtraction, children frequently reverse the digits in a column to subtract the smaller number from the larger one—such as writing 4 for 3 − 7 instead of exchanging from the tens column. In addition, children often misalign digits when numbers have different lengths, or forget to include the digits they have carried over into the next column.

Practice worksheets feature standard column additions and subtractions within 1000 alongside step-by-step column guides. Tasks also include finding missing addends in column addition, adding three numbers in a single column layout, and analysing completed calculations to spot and correct mistakes in column subtraction.

Checking Answers Using Inverse Operations

Children learn to use inverse operations, such as adding to check a subtraction, to verify their answers and solve missing number calculations.

KS3.N.6 recognise and use relationships between operations including inverse operations
Y1.AS.2 represent and use number bonds and related subtraction facts within 20
Y2.AS.5 recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.
Y3.AS.3 estimate the answer to a calculation and use inverse operations to check answers
Y4.AS.2 estimate and use inverse operations to check answers to a calculation

In Year 3, children learn to use inverse operations to check calculations and work backwards. They understand that addition and subtraction undo each other, and that multiplication connects directly to sharing. Using these relationships, pupils verify their results and determine missing starting amounts rather than simply recalculating the original problem.

A frequent mistake occurs when children mix up the parts and the whole when setting up a check. For instance, after completing a subtraction, a child might subtract again or mistakenly add the original total to their answer, instead of adding the two smaller amounts together to see if they rebuild the starting number.

Tasks give children practical opportunities to test and explain calculations. Typical worksheets include prompts to check a subtraction by adding, decide whether a check calculation is correct, and spot errors in completed checks. Children also apply inverse thinking to solve problems such as identifying what number was subtracted from, working out what a number was multiplied by, or finding how many items were there before sharing.

Estimating Everyday Costs and Calculations

Children learn to estimate sums, differences, and shopping costs by rounding numbers to the nearest ten to quickly check if an answer is reasonable.

Y3.AS.3 estimate the answer to a calculation and use inverse operations to check answers

In Year 3, children work with numbers up to 1000 to approximate calculations before or after solving them. Using rounding to the nearest ten, they learn to make quick mental estimates for addition and subtraction, as well as practical calculations involving money and everyday measurements.

A common error is calculating the exact total first and then rounding that answer at the very end. This misses the purpose of estimation as a quick check. In real-life contexts, children may also round prices down according to standard rounding rules instead of rounding up, which can lead to underestimating a shopping total and not having enough money.

Worksheet tasks provide practice through calculations such as Estimate the sum: round to the nearest ten and Estimate the difference: round to the nearest ten. Everyday application tasks include About how much will we pay in total, Estimating a cost by rounding up, and Find prices that match the estimate.

Adding Ones and Tens to Three-Digit Numbers

Children learn to add ones, tens, and three-digit numbers within 1000 without regrouping.

Y3.AS.1.a a three-digit number and ones
Y3.AS.1.b a three-digit number and tens

At this stage, children work with numbers up to 1000. They build on basic arithmetic by adding single-digit numbers (ones) and multiples of ten directly to three-digit numbers. They also practise adding three-digit numbers together when no regrouping is needed, keeping their calculations firmly rooted in place value.

A frequent mistake is adding into the incorrect place value column. For example, when adding 30 to 452, a child might mistakenly add to the hundreds column to get 752 or to the ones column to get 455. This usually happens when they read the number simply as digits rather than identifying whether they are adding ones, tens, or hundreds.

Worksheet tasks reinforce these mental and written methods in several formats. Children decide whether calculations are true or false, select the correct total from a list of options, or act as the teacher to find and correct someone else's mistake. Other activities challenge them to add three separate numbers within 1000 or invent their own pairs of numbers that add up to a target sum.

Two-Step Addition and Subtraction Word Problems

Children learn to solve two-step word problems using addition and subtraction with numbers up to 1000, working out which calculation to do first to reach a final answer.

Y3.AS.4 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.
Y4.AS.3 solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.
Y4.NPV.8 solve number and practical problems that involve all of the above and with increasingly large positive numbers
Y5.AS.4 solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.
Y5.NPV.5 solve number problems and practical problems that involve all of the above
Y6.ASMD.7 solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Y6.ASMD.8 solve problems involving addition, subtraction, multiplication and division
Y6.NPV.4 solve number and practical problems that involve all of the above.

In Year 3, children solve word problems that require more than one calculation, using addition and subtraction with numbers up to 1000. They draw on place value and known addition facts to break a problem into distinct parts, deciding whether they first need to combine quantities or take an amount away before finding the final answer.

A common mistake is stopping after the very first step. Because earlier maths problems only required a single calculation, children often calculate the intermediate total and assume the task is complete, overlooking the second instruction. Another typical error is adding all the numbers in the story together without reading how the amounts actually relate to one another.

Worksheet tasks present these challenges in realistic contexts. In a two-step word problem (combine), children might add two quantities together and then subtract that total from an overall starting amount. In tasks such as finding the most sets you can make from the stock, children work with a given inventory to determine how many complete groups can be formed, using addition and subtraction steps to track what has been used and what remains.

Topics in this year