Year 3 Place Value Worksheets with Answers (PDF)

In Year 3, children work with three-digit numbers up to 1000. They learn to break down a number into hundreds, tens, and ones, recognising what each individual digit represents. For instance, in the number 462, they identify that the digit 4 has a value of 400, the 6 is worth 60, and the 2 is worth 2. They also learn to partition these numbers flexibly, such as splitting them into hundreds and the remaining tens and ones, or seeing how many whole tens are contained in the entire number.

A frequent stumbling block occurs when a number contains a zero as a place holder, such as 408. Children may ignore the zero and read or write the number as 48, missing that the zero holds the tens place empty so the 4 remains worth four hundreds. Another common error is confusing the digit in the tens position with the total number of tens in the number—such as thinking 350 contains only 5 tens rather than 35 whole tens.

Practice tasks use both concrete imagery and direct calculations. Children might read base-ten blocks to write down a number, assemble a three-digit number from given groups of hundreds, tens, and ones, or split numbers into hundreds and the rest. Other tasks ask them to determine how many whole tens or total ones are in a number, or to evaluate true-or-false statements about the place value of specific digits.

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.

In Year 3, children build on their understanding of place value to compare and order numbers up to 1000. They learn to determine which value is the greatest or smallest in a set, sequence numbers starting from the least, and calculate how much greater one number is than another.

A common mistake occurs when children focus on the size of individual digits rather than their place value. For example, when comparing 389 and 412, a child might look at the 8 and 9 and assume 389 is the larger value, overlooking the hundreds column. Errors also happen when numbers share the same hundreds digit, such as 652 and 625, where children must compare the tens digit to decide which is greater.

Worksheet tasks practice this skill through varied question types. Children may identify which number is the greatest from a set, order numbers from least, or insert the correct relation sign between two numbers. Other activities ask children to calculate how many more one value is than another or evaluate true-or-false statements about comparisons within 1000.

In Year 3, children solve practical, single-step word problems involving addition and subtraction with numbers up to 1000. They interpret real-world contexts to decide whether quantities are being added altogether or taken away, and they apply their mental and written methods to find the missing values.

A common error occurs when children skim the text and grab numbers without understanding the context. When a problem contains an extra number that is not needed, or asks them to work backwards to work out how many there were at the start, they often default to adding every number they see rather than thinking through what is happening to the quantities.

Practice tasks feature short written scenarios where pupils decide which operation solves the problem or choose the correct result. Exercises include finding how many are left, determining the initial quantity at the start, and identifying the relevant information in problems that include an extra number.

In Year 3, children expand their place value knowledge beyond 100 up to 1000. They learn to accurately read and write any whole number across this range, translating fluently between figures (digits) and written words.

A common hurdle occurs when a number contains a zero in the tens column. When writing a number like "four hundred and seven", children often miss the zero placeholder and write 47, or they write out each part literally as 4007. Confusions also arise when translating numbers with teens or tens words between digits and written form.

Practice tasks focus directly on these conventions. Children might write a number given in words into digits, read number words, or determine whether a written number is correct. Other exercises specifically ask pupils to fix numbers with a zero in the middle, choose the correct digit format from multiple choices, or spot and correct writing mistakes.

In Year 3, children practice counting from 0 in multiples of 4, 8, 50, and 100, working with numbers up to 1000. They also extend their place-value skills by counting forwards and backwards from any starting number in steps of 10 or 100, finding 10 or 100 more or less without having to count from zero.

A typical error occurs when crossing hundreds boundaries, especially when counting backwards (for example, stepping back ten from 304 to 294, or counting down in 50s from 500 to 450). Children often change the wrong digit or lose track of the step size because they focus solely on one column rather than adjusting the total value across place-value boundaries.

Practice tasks reinforce these patterns through varied exercises. Children continue number tracks to keep counting by the same step, choose the next number to complete a sequence, or count backwards in equal steps. Other activities ask them to spot and correct the wrong number in an existing sequence or calculate how many times they must count on to get there.

In Year 3, children build confidence with numbers up to 1000 by using number lines as visual tools. Rather than counting along one by one, they learn to read and make larger jumps, moving forward and backward in equal steps of ten to locate, estimate, and represent different values.

A common hurdle occurs when a jump crosses over a hundred boundary, such as moving from 190 to 200 or stepping back from 400 to 390. Children often lose track of how both the tens and hundreds digits change at the same time. Another frequent mistake is counting the printed tick marks on the line rather than measuring the jump or interval between the numbers.

Worksheet tasks use the Jump by tens on the number line template. Children are given a partially completed number line and follow marked hops of ten, filling in the missing landing points or calculating where a sequence of ten-steps will finish.