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All Year 4 topics

Year 4 Place Value Worksheets with Answers (PDF)

Imaginesis: printable Year 4 Place Value maths worksheets for England (National Curriculum) — Counting Forwards and Backwards in Steps, Rounding to the Nearest 10 or 100, Solving Two-Step Addition and Subtraction Problems: word problems with hints, answers and worked solutions as PDF, also as an A/B test.

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Sample word problems

Mia saves for a garden swing: after the first week her jar holds £12, after the second £19, and after the third £26. She puts in the same amount every week. How much money will the jar hold after the fifth week?

Hint: How much does Mia add each week? Keep going until the fifth week.

Answer: 40

A big bin in the toy shop holds 432 marbles. The price list gives the number only roughly. How many marbles is that, rounded to the nearest ten?

Hint: Look at the ones digit. Is it five or more?

Answer: 430

The prep table holds 22 bowls of chopped carrots. Another 16 bowls of chopped carrots were brought from the fridge, and 24 more bowls were filled from the counter. How many bowls of chopped carrots are on the prep table in all?

Hint: First, add the 22 bowls of chopped carrots to the 16 bowls from the fridge, and then add the last 24 bowls.

Answer: 62

Objectives in this topic

Counting Forwards and Backwards in Steps

Children learn to count forwards and backwards in steps of 6, 7, 9, 25, and 1,000, spotting patterns and finding missing numbers in sequences.

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 4, children extend their counting skills to move fluently forwards and backwards in multiples of 6, 7, 9, 25, and 1,000. While earlier years focus on smaller steps such as 2s, 5s, 10s, and 100s, children now tackle these larger, less intuitive jump sizes to support their times tables up to 12 × 12 and their grasp of four-digit numbers.

A frequent stumbling block occurs when counting crosses a hundred or thousand boundary, especially when counting in reverse. For example, stepping backwards by 25 through a hundreds boundary (such as moving from 1,025 to 1,000 and then to 975) often trips children up. In steps of 7 or 9, pupils can also lose their rhythm if they attempt to calculate each individual jump by counting on their fingers rather than spotting the regular digit patterns.

Practice activities use simple sequences to build confidence with these steps:

  • Keep counting by the same step or choose the next number to finish an incomplete sequence.
  • Count backwards in equal steps to strengthen subtraction and reverse number sense.
  • Spot mistakes in a sequence to correct the wrong number.
  • Calculate how many times you must count on to get there, helping bridge the gap between counting and multiplication.

Rounding to the Nearest 10 or 100

Children learn to round numbers with up to four digits to the nearest 10 or 100 to approximate values and estimate accurately.

Y4.NPV.7 round any number to the nearest 10, 100 or 1000

In Year 4, children use their understanding of place value to round numbers with up to four digits to the nearest multiple of 10 or 100. They learn to identify the two multiples a number sits between—such as recognising that 2,340 lies between 2,300 and 2,400—and identify which multiple is closer.

A common mistake occurs when children look at the wrong column to decide which way to round. For example, when rounding to the nearest hundred, a child might look at the ones digit instead of the tens digit, mistakenly rounding 348 up to 400 because of the 8. Children also often hesitate when a number sits exactly halfway between two multiples, forgetting the rule to round up when the decision digit is 5.

Worksheet activities provide direct practice through two dedicated templates: Round to the nearest ten and Round to the nearest hundred. These tasks present children with a series of whole numbers, giving them repeated practice in picking the correct place value column and rounding accurately.

Solving Two-Step Addition and Subtraction Problems

Children learn to break down and solve real-life word problems requiring two steps of addition and subtraction using numbers up to four digits.

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 4, children tackle two-step word problems involving increasingly large numbers, working with values up to four digits. They read a written scenario, break it down into manageable parts, and decide which operations to use and why. This requires them to find an intermediate total before carrying out a second addition or subtraction to arrive at the final solution.

A common error occurs when children stop after completing only the first calculation, mistaking the intermediate answer for the finished result. Another frequent issue is choosing the wrong operation—such as adding all the numbers together rather than subtracting what was used or sold—because they glance at numbers without picturing what is actually happening in the story.

Practice tasks place these calculations into relatable, practical contexts. With two-step word problem (combine) tasks, children might calculate the total number of items collected across two groups before working out how many more are needed to reach a target. Tasks such as most sets you can make from the stock challenge children to add batches of inventory together and determine how many complete sets can be prepared from available stock.

Jumping in Tens on a Number Line

Children learn to identify and represent numbers by making jumps of ten forwards and backwards along a number line.

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 4, children build on their understanding of place value by using number lines to identify, estimate, and represent numbers. At this stage, they practice tracking positions along the line by making regular jumps of ten, reinforcing how adding or subtracting ten changes the value of a number.

A typical error happens when children count the printed division marks instead of the intervals between them. Mistakes also commonly occur when crossing a hundreds or thousands boundary—such as jumping ten forward from 290 or 990—where children must change both the tens and hundreds digits at the same time.

Practice tasks use the Jump by tens on the number line format. Children are given a partially completed number line and follow or draw hops of ten to track steps, fill in missing values, and arrive at a target number.

Topics in this year