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Year 2 Place Value Worksheets with Answers (PDF)

Imaginesis: printable Year 2 Place Value maths worksheets for England (National Curriculum) — Comparing Numbers up to 100, Solving Simple Word Problems, Reading and writing numbers up to 1000: word problems with hints, answers and worked solutions as PDF, also as an A/B test.

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Sample word problems

Oliver sees 7 jars of honey on the shelf and 10 jars on the counter. How many jars are in the larger group?

Hint: Look at the two numbers of jars and compare the tens first. If the tens are the same, compare the ones to see which number is larger.

Answer: 10

A roll of wrapping paper in the gift shop is 65 metres long, and 16 metres are sold. How many metres are left on the roll?

Hint: Start with the whole roll and think about the part that was sold.

Answer: 49

The tower shelf holds 7 jars of 100 potion scales, 5 pouches of 10 potion scales, and 2 single potion scales. How many potion scales are on the shelf in all? Write the number in digits.

Hint: Look at the place values on the tower shelf: write the digit for the 7 of hundreds first, then the digit for the 5 of tens, and finish with the digit for the 2 of single potion scales.

Answer: 752

Objectives in this topic

Comparing Numbers up to 100

Children learn to compare and order numbers from 0 up to 100 using the comparison signs <, >, and = alongside words like "more than" and "least".

Y1.NPV.4 identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
Y2.NPV.4 compare and order numbers from 0 up to 100; use <, > and = signs

In Year 2, children learn to compare and order numbers from 0 up to 100. Building on early terms like more than, less than, and equal to, they now record these relationships using mathematical symbols: <, >, and =. They learn to evaluate two-digit numbers by looking at the value of the tens and ones digits, arranging lists of numbers from smallest to greatest or greatest to smallest.

A common error occurs when children focus on the ones digit instead of the tens digit. For example, a child might decide that 39 is larger than 51 simply because 9 is greater than 1, overlooking that 5 tens are worth more than 3 tens. Children also frequently confuse the directions of the < and > signs when recording their answers.

Practice worksheets reinforce this understanding through a variety of straightforward formats. Children encounter activities such as Insert the sign: <, > or =, Order five numbers, and word problems like Which group collected the least. Other tasks combine operations, such as Compute, then insert the sign, or prompt deeper thinking through puzzles like List the digits that fit to complete an inequality.

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.

Reading and writing numbers up to 1000

Children learn to read and write numbers in numerals and words, moving beyond 100 towards 1000 as they master three-digit place value.

Y1.NPV.2 count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens
Y1.NPV.5 read and write numbers from 1 to 20 in numerals and words.
Y2.NPV.5 read and write numbers to at least 100 in numerals and in words
Y3.NPV.5 read and write numbers up to 1000 in numerals and in words

In Year 2, children build on reading and writing numbers to at least 100 in numerals and words, extending their skills towards numbers up to 1000. They learn to match spoken and written number names with numerals, developing a secure grasp of how hundreds, tens, and ones combine.

A common mistake occurs with numbers containing a zero in the middle, such as three hundred and five. Children often write 3005 or 35 instead of 305. This happens because they write each word literally as they hear it, forgetting that zero must hold the place of the empty tens column.

Practice tasks ask children to Write the number in digits or Read the number in words. Children also refine their accuracy through error-checking activities, including Zero in the middle: fix how the number is written, Choose the correct way of writing it in digits, and deciding Is this way of writing the number correct.

Counting in Steps of 2, 3, 5 and 10

Children learn to count forwards and backwards in steps of 2, 3, and 5 starting from 0, and in steps of 10 starting from any number.

Y1.NPV.1 count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
Y1.NPV.2 count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens
Y2.NPV.1 count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
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
Y4.NPV.1 count in multiples of 6, 7, 9, 25 and 1000
Y5.NPV.2 count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000

In Year 2, children build confidence with number patterns by counting forward and backward in regular steps. Specifically, they practise counting in steps of 2, 3, and 5 starting from 0, and stepping in tens starting from any number (for example: 14, 24, 34, 44).

A common difficulty occurs when counting in tens from a number that does not end in zero. Children often instinctively slip back into counting round multiples of ten, jumping from 23 to 30 and 40 instead of continuing to 33 and 43. Stepping backward also requires extra focus, as children must subtract the step size repeatedly without losing track of the sequence or confusing the tens and ones digits.

Worksheet tasks reinforce these patterns through clear, practical formats:

  • Keep counting: filling in missing values in a sequence moving forwards or backwards by 2, 3, 5, or 10.
  • Spotting errors: finding and correcting the wrong number placed in an otherwise regular step pattern.
  • Multiple choice: identifying which number comes next in an equal-step chain.
  • Counting jumps: working out how many equal steps are needed to travel from a starting value to a target number.

Finding Tens and Ones in Two-Digit Numbers

Children learn to recognise the value of each digit in any two-digit number, splitting it into full tens and remaining ones to solve problems.

Y2.NPV.2 recognise the place value of each digit in a two-digit number (tens, ones)
Y2.NPV.6 use place value and number facts to solve problems.

Children learn to recognise the place value of each digit in any two-digit number. They understand that in a number like 47, the 4 represents 4 tens (or 40) while the 7 represents 7 ones. This helps them break numbers apart into tens and ones and use these facts to solve place-value problems.

A common mistake is treating digits simply as single items rather than values based on position. For example, looking at 62, a child might say the digit 6 has a value of 6 rather than 60. Children also frequently reverse the digits, confusing the tens column with the ones column and reading 3 tens and 5 ones as 53.

Practice tasks build this understanding using two focused formats:

  • Tens and ones asks children to break down a two-digit number into its separate tens and ones, or combine given tens and ones to write the complete number.
  • How many full tens? challenges children to identify the exact number of whole groups of ten inside a two-digit number.

Using a Number Line to Jump in Tens

Children learn to locate two-digit numbers up to 100 on a number line by making jumps of ten.

Y2.NPV.3 identify, represent and estimate numbers using different representations, including the number line
Y3.NPV.4 identify, represent and estimate numbers using different representations
Y4.NPV.6 identify, represent and estimate numbers using different representations

In Year 2, children learn to identify and represent numbers up to 100 on a number line. At this stage, they move beyond counting individual units and use their knowledge of tens and ones to navigate the line in larger steps, specifically jumping forward or backward in groups of ten.

A frequent stumbling block occurs when children count the printed tick marks rather than the distance of the jump itself. Children may also lose track of the ones digit when jumping in tens from a number that does not end in zero—for example, jumping ten forward from 34 and landing on 40 instead of 44.

Typical worksheets use the Jump by tens on the number line task format. Children see a number line marked with numbers up to 100 and draw curved jumps to show adding or subtracting ten, or they read completed jumps to identify missing starting, intermediate, or landing numbers.

Topics in this year