Round to the nearest thousand.
349,564 ≈ □
Answer: 350,000
Year 6 Place Value Word Problems with Answers (PDF)
Imaginesis: printable Year 6 Place Value maths worksheets for England (National Curriculum) — Rounding whole numbers to a given place, Solving Multi-Step Word Problems, Negative numbers in context: scores below zero: word problems with hints, answers and worked solutions as PDF, also as a test in groups A–D.
Sample word problems
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
One team in the zoo quiz game stands at −10 points, because a wrong answer costs points and a score can drop below zero. Then the team wins 6 points for naming every penguin species. What is the team's score now?
-10 + 6 = ?
Hint: Think of the score on a number line. Start below zero and move in the right direction.
Answer: −4
Objectives in this topic
Rounding whole numbers to a given place
Your child learns to round a whole number to a chosen place, such as the nearest hundred, thousand or ten thousand, by looking at the digit just to the right of that place.
Y4.NPV.7 round any number to the nearest 10, 100 or 1000Y5.NPV.4 round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000Y6.NPV.2 round any whole number to a required degree of accuracy
By the end of Year 6, your child can round any whole number to a required degree of accuracy. The curriculum points for this skill also reach back to earlier years. By the end of Year 5, pupils round numbers up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000. By the end of Year 4, they round numbers to the nearest 10, 100 or 1,000.
A common mistake is to round down by simply cutting off the digits after the chosen place. For example, 4,582 to the nearest thousand is 5,000, not 4,000, because the hundreds digit is 5 or more. Children often ignore that digit, which happens because they treat rounding as chopping rather than comparing the number with the nearest rounding point.
The Year 6 printable tasks in this area include:
- Round to the nearest thousand and Round to the nearest ten thousand, where your child rounds a given number to the place shown.
- Rounding multi-digit numbers to the nearest hundred, which uses longer numbers.
- Rounding to the nearest thousand: the smallest such number, which asks for the smallest whole number that rounds to a given value. For example, the smallest number that rounds to 7,000 to the nearest thousand is 6,500.
- Rounding to the nearest thousand: choose the result and Rounding to the nearest thousand: true or false, which check whether your child can recognise a correct rounding.
Create a worksheet for this skill
Drill sheet (numbers only)
Task types: Round to the nearest ten thousand · Round to the nearest thousand · Rounding multi-digit numbers to the nearest hundred · Rounding to the nearest thousand: choose the result · Rounding to the nearest thousand: find the mistake · Rounding to the nearest thousand: true or false · Numbers to a million: rounding to thousands in a story · Rounding to the nearest thousand: the smallest such number
Solving Multi-Step Word Problems
Your child learns to read a word problem with more than one step, decide which operations to use and why, and then work out the 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 numbersY5.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 aboveY6.ASMD.7 solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and whyY6.ASMD.8 solve problems involving addition, subtraction, multiplication and divisionY6.NPV.4 solve number and practical problems that involve all of the above.
In Year 6, the curriculum asks children to solve number and practical problems that involve addition, subtraction, multiplication and division, including problems with several steps set in a context. The key requirement is that the child decides which operations and methods to use and can say why. The curriculum points behind this skill also come from earlier years, and they describe the whole stage rather than this year alone. They do not give a specific number range for Year 6, so this page does not name one.
A common difficulty is choosing an operation from a single word in the question, or starting to calculate before working out what the question is asking. A two-step problem can then get only one step done, or the wrong operation is used for the first step. Reading the situation first, and stating what each step is for, is the habit the curriculum wording targets.
Tasks on this skill use the printable templates available in this area:
- Two-step word problem (combine): a context where the child must work through two steps to combine amounts.
- Stock and sets: the most sets you can make: the child works out how many complete sets can be made from a given stock.
- Stock and sets: choose the number of sets: the child selects the number of sets that fits the situation.
- Word problem, three days: choose the result: the child works through a problem spread over three days and chooses the correct result.
- Word problem, three days: true or false: the child checks whether a statement about the situation is correct.
Negative numbers in context: scores below zero
Children use negative numbers to describe real situations, such as points lost in a game or a score that drops below zero. In Year 6 they also calculate intervals across zero, which means finding the gap between a negative number and a positive number. The curriculum points for this skill do not set a number range, so this page does not give one.
Y5.NPV.3 interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zeroY6.NPV.3 use negative numbers in context, and calculate intervals across zero
A common error is to treat a gap across zero as if both numbers were on the same side of zero. A child asked for the gap between -3 and 4 may subtract 3 from 4 and answer 1. The gap is actually 7: 3 steps down to zero, then 4 steps up. Children may also think that -7 is greater than -2 because 7 is larger than 2. Drawing a number line with zero marked clearly helps children see both steps.
The printable templates for this skill include:
- Negative points in a game: the child works out a player's total after points are lost, so the total goes below zero.
- A score below zero: choose the new score: the child picks the correct new score after a change that takes it below zero.
- A score below zero: true or false: the child decides whether statements about scores below zero are correct.