Number Puzzles Worksheets: Year 6 Maths

Year 6 maths worksheets on number problems with rounding and place value: 36 questions in three levels (All, Most, Some) with answers. Free PDF.

7-page A4 PDF from the Tiger Shark Education question bank. All: Solve number problems with numbers up to 10,000. Most: Solve number problems with numbers up to 1,000,000. Some: Solve problems with numbers up to 10 million. Each level is two pages of six questions, each with a squared working area, and the last page has every answer, with short working for multi-step questions. Each level is also available as its own 3-page PDF. Example questions from the Some level: A stadium’s season attendance is 3,980,007. This rises by 8,000. What is the new total to the nearest ten thousand? / One year an app gained 7,772,760 new users. The next year it gained 5,199,022. How many more new users did it gain in the first year?

What are number puzzles? In KS2 maths, number puzzles ask children to reason with numbers rather than just calculate: finding missing digits, working out two numbers from their sum and difference, completing number pyramids or solving ‘I am thinking of a number’ problems. They draw on place value, the four operations and inverse operations, and they reward a systematic approach.

Common mistakes and tips: Children often guess randomly instead of working methodically. Encourage them to start with the most constrained part of the puzzle, try a value and check it, and record what they have tried. Using the inverse operation to check an answer is a habit worth building here, because it pays off across the whole SATs arithmetic and reasoning papers.

In the KS2 SATs, this topic can appear on the arithmetic paper, on the two reasoning papers, or both. Reasoning questions often wrap the skill in a context or ask children to explain an answer, so the three levels on this sheet build from fluency to the kind of problem pupils meet in the test.

Ways to use it: whole-class differentiation (three levels for the same lesson), focused intervention for children working towards the expected standard, homework, or targeted revision before the SATs. Set one level as a quick assessment and use the answers to decide who needs another lesson on the topic.

Building fluency over time: revisiting this topic little and often throughout the year, rather than only in one unit, helps children retain it for the SATs. A few questions from the All or Most level make a good retrieval starter several weeks after the topic was first taught.

Use All for children working towards the expected standard, Most for secure Year 5 skills and Some for SATs-standard practice: three entry points to the same lesson. Suits whole-class differentiation, intervention groups, homework and SATs revision, and upper KS2 generally.

Part of a set of 42 Year 6 maths topics.