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Year 2 Addition and Subtraction Worksheets

Imaginesis: printable Year 2 Addition and Subtraction maths worksheets for England (National Curriculum) — Adding Two-Digit Numbers with Regrouping, Adding numbers within 100, Subtracting numbers within 100: word problems with hints, answers and worked solutions as PDF, also as an A/B test.

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Sample word problems

Chef Tom sets 23 bowls of chopped carrots on the school kitchen table. He adds 57 more bowls of chopped carrots to make lunch for the pupils. How many bowls of chopped carrots are on the table in all?

Hint: Try adding the tens from the 23 bowls of chopped carrots and the 57 bowls of chopped carrots first, then add the ones together.

Answer: 80

A food cart at the zoo stands by pen 2. It moves forward 4 pens to feed the next animals. Which pen does the food cart reach?

Hint: Find pen 2 first, then count forward 4 pens to see where the food cart stops.

Answer: 6

A shop shelf holds 61 jars of honey, and shoppers buy 21 of the jars before noon. How many jars of honey are still on the shelf?

Hint: Start with all the jars, then think about the ones that went home with shoppers.

Answer: 40

Objectives in this topic

Adding Two-Digit Numbers with Regrouping

Children learn to add two two-digit numbers within 100 where the ones cross a ten, exchanging ten ones for a ten to find the correct total.

Y2.AS.3.c two two-digit numbers

Children learn to add two two-digit numbers within 100 when the ones digits combine to make 10 or more (such as 47 + 25). To solve these, they break numbers apart and bridge through the next ten, exchanging ten ones into an extra ten so that they can combine all the tens and remaining ones accurately.

A common mistake is writing each column's total side by side without exchanging. For example, in 47 + 25, a child might calculate 4 + 2 = 6 and 7 + 5 = 12, writing down 612. Another frequent error occurs when children bridge mentally but forget to include the newly formed ten when adding the tens digits, arriving at 62 instead of 72.

Worksheet tasks build this understanding step by step. Children practice finding how much is missing to the next ten or bridging through ten to finish a calculation. They also apply the skill by checking given results to find mistakes, balancing both sides of an equals sign, comparing which sum is larger, and solving word problems that involve change or extra numbers.

Adding numbers within 100

Children learn to add two-digit numbers and ones within 100 using mental strategies, written methods, and visual tools.

Y2.AS.1.b applying their increasing knowledge of mental and written methods
Y2.AS.3.a a two-digit number and ones

In Year 2, children develop confidence adding calculations within 100. They focus particularly on combining a two-digit number and single-digit ones (such as 43 + 5), applying their growing knowledge of place value to solve problems using both mental steps and written working.

A frequent stumbling block occurs when adding ones crosses a tens boundary, such as 38 + 6. Children may add the ones digits mentally (8 + 6 = 14) and accidentally write 314, or they may lose track of the tens digit entirely when counting on past the next multiple of ten.

Worksheet tasks provide concrete visual aids to help children see and check their calculations. Common activities include:

  • Jumping on a hundred grid or an open number line to track steps of tens and ones.
  • Completing number pyramids and matching addition sums to their correct totals.
  • Checking pre-filled problems to decide if a total is right or finding and correcting a calculation mistake.

Subtracting numbers within 100

Children learn to subtract one- and two-digit numbers within 100, working out results step by step and using tools like a hundred grid.

Y1.AS.1 read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs
Y1.AS.3 add and subtract one-digit and two-digit numbers to 20, including zero
Y2.AS.3.c two two-digit numbers

In Year 2, children build on earlier subtraction within 20 to subtract numbers within 100. This includes taking away a one-digit or two-digit number from another two-digit number. Children read and interpret formal number sentences using the subtraction (–) and equals (=) signs, often breaking the calculation down into steps by subtracting tens first and then ones.

A frequent mistake occurs when children subtract the smaller digit from the larger digit rather than following the order of the calculation. For example, when faced with 52 – 18, a child might look at the ones column and calculate 8 – 2 instead of taking 8 away from 52, arriving at an incorrect answer like 46. Children can also lose count when jumping back across a tens boundary on a hundred grid.

Worksheet tasks give children concrete practice using number sentences and hundred grids to jump back. Activities range from straightforward subtractions and working through two subtractions in a row to finding an unknown starting number. Children also analyse worked examples by spotting errors in someone else's calculation or selecting the correct answer from a set of choices.

Finding Missing Numbers in Box Equations

Children learn to find the missing number in addition and subtraction equations up to 100 by using inverse operations to balance both sides.

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 2, children learn to find unknown numbers in addition and subtraction equations involving two-digit numbers up to 100. They use the inverse relationship between adding and subtracting to work out the value that belongs inside an empty box, developing the understanding that both sides of an equals sign must have the same total value.

A common mistake occurs when children treat the equals sign as a command to carry out an operation rather than a symbol of balance. For example, when given 14 + □ = 20, a child may simply add the two visible numbers together and write 34 in the box. Similarly, when the first number in a subtraction is missing, children often subtract the two known numbers instead of adding them to find what the amount was taken from.

Worksheet tasks present this skill through concrete exercises such as missing addend calculations, finding the starting number in a subtraction, and solving a sum of three numbers with one value hidden in a box. Tasks also use balanced scale illustrations where children determine the weight of a hidden block to make both sides equal.

Adding in Any Order and Choosing Easy Steps

Children learn that addition and multiplication can be done in any order, using handy pairings to add several numbers easily while seeing that subtraction and division cannot be swapped.

Y2.AS.4 show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
Y2.MD.3 show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot
Y4.MD.2 use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
Y2.AS.3.d adding three one-digit numbers

In Year 2, children discover that numbers can be added or multiplied in any order to get the same answer, while subtraction and division cannot be flipped. When working with addition, such as adding three one-digit numbers, children learn to reorder the calculation to make mental arithmetic simpler, grouping numbers into convenient pairs like bonds to 10.

A common mistake is overapplying this rule to other operations, leading children to think that subtraction can also be reversed (believing 7 − 2 is the same as 2 − 7). Children also frequently calculate strictly from left to right, missing obvious, friendly pairs that would prevent counting errors.

Practice tasks visually reinforce these relationships. Children solve balance problems like The same total, sides swapped — what is hidden and What is missing on the other side to make it equal. In exercises such as Choose the convenient order and Four terms, two convenient pairs, they look at several numbers, pick the easiest sequence to add, and explain why that order makes the calculation simpler.

Adding and subtracting tens and hundreds

Children learn to add and subtract multiples of ten and full hundreds, using patterns to calculate jumps and balance simple equations.

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

At this stage, children build on basic addition and subtraction facts up to 20 to derive related facts up to 100 and work with full hundreds. They learn to add and subtract groups of tens with two-digit numbers and navigate jumps of whole hundreds, using place-value patterns where only the hundreds or tens digit changes while the remaining zeros stay in place.

A common mistake occurs when children lose track of place value, confusing the count of hundreds with single units. For instance, when subtracting or taking two jumps in a row, they may drop a zero, treat 300 as 30, or alter the tens and ones digits instead of keeping them unchanged.

Practice worksheets present these concepts through concrete calculation and tracking tasks, including:

  • Jumping forwards or backwards by full hundreds on a line, including completing two jumps in a row.
  • Taking away full hundreds and determining how many hundreds were added to reach a target.
  • Balancing equations by finding missing values on either side, choosing the correct result from options, or finding and fixing a calculation mistake.

Adding Numbers up to 20 Without Regrouping

Children learn to add one-digit and two-digit numbers up to 20 without regrouping, building fluency with addition facts and written equations.

Y1.AS.1 read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs
Y1.AS.2 represent and use number bonds and related subtraction facts within 20
Y1.AS.3 add and subtract one-digit and two-digit numbers to 20, including zero
Y2.AS.2 recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

At this stage, children add one-digit and two-digit numbers up to 20 where the ones do not cross into the next ten (such as 13 + 4 = 17 or 11 + 5 = 16), as well as adding zero. They read and interpret number sentences using the addition (+) and equals (=) signs, using known number bonds to combine numbers accurately rather than relying on counting from one.

A common mistake occurs when children misinterpret place value and add the single-digit number to the tens digit instead of the ones digit, turning 12 + 3 into 42. Children also slip up when counting on manually by including the starting number in their count, arriving at an answer that is one less or one more than the true total.

Practical tasks give children varied ways to demonstrate this skill. Worksheets use visual prompts like counting dots in double frames, finding totals for three numbers, and choosing the correct answer from multiple options. Children also evaluate true-or-false statements and spot and correct calculation mistakes in ready-made number sentences.

Using Inverse Operations to Check Calculations

Children learn to use the inverse relationship between addition and subtraction to check their calculations and solve missing number problems with two-digit numbers.

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 2, children learn that addition and subtraction are inverse operations that undo one another. Using numbers up to 100, pupils use this connection to check their two-digit calculations and find unknown values in missing number problems. They also apply this logic to basic multiplication and division, identifying an unknown starting quantity before it was shared or finding what a number was multiplied by.

A common error occurs when children mix up the parts and the whole when setting up a check. For example, after solving 54 − 20 = 34, a child might attempt to check their work by calculating 54 + 34 rather than adding the difference back to the subtracted amount (34 + 20). Because they know checking subtraction involves adding, they often combine the first two numbers they see rather than rebuilding the original total.

Practice tasks on this skill focus directly on these relationships through activities such as:

  • Check a subtraction by adding or checking addition by subtraction to prove a result is accurate.
  • Evaluating sample calculations to decide Is the check of the subtraction right? or spotting and correcting mistakes in a completed check.
  • Solving missing value puzzles, such as choosing what number was subtracted from a total or working out how many were there before sharing.

Solving Simple Word Problems

Children learn to solve practical math stories by choosing the right operation and calculating missing or final amounts with numbers up to 100.

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.
Y1.MD.1 solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
Y2.MD.4 solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.
Y2.NPV.6 use place value and number facts to solve problems.
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.
Y3.NPV.6 solve number problems and practical problems involving these ideas.
Y2.AS.1.a using concrete objects and pictorial representations, including those involving numbers, quantities and measures
Y2.AS.1.b applying their increasing knowledge of mental and written methods

In Year 2, children solve one-step word problems set in familiar contexts using numbers up to 100. They use addition and subtraction of two-digit numbers, as well as basic multiplication and division using the 2, 5, and 10 times tables. To find the answer, pupils apply mental and written methods alongside concrete objects, arrays, and pictorial drawings.

A common error is rushing to add all the numbers mentioned in the text without picturing the situation. When children see numbers in a sentence, they often combine them automatically rather than thinking about the action taking place. This causes mistakes when a problem contains an extra, unnecessary number or asks them to work backwards to find an unknown starting amount.

Practice tasks present short, relatable scenarios that require pupils to understand what is happening before calculating. Tasks include:

  • Identifying which operation solves the problem, such as finding a total altogether or working out how many are left.
  • Filtering out distracting information in stories that include an extra number.
  • Working backwards to calculate how many were there at the start or choosing the correct result from a given set of options.

Topics in this year