We’ve designed question 1 on this division questions worksheet so that pupils to focus on non-written methods of division. They will need to use knowledge of multiplicative relationships and powers of 10.
Question 2 on our division worksheets requires some more formal methodology. We’ve set problems in context in Q3.
All of the sub-questions in Q3 are division based. Consider taking Q3 in isolation and adding a few non-division calculations to encourage pupils to consider what separates the contexts requiring division from those that don’t.
Division questions for further reasoning
Question 4 allows for the development of further reasoning. Q5-7 tests pupils’ division skills by bringing in larger values, including division by two or more-digit values.
Examples of questions include:
A school ordered 234 new pencils for the SATs tests. If they gave each student 6 pencils, how many students are taking the tests?
Simon travelled 608 miles from Inverness to Brighton to visit his family for Easter. If the car uses 19 gallons of fuel in all for the trip, calculate the average miles per gallon.
Free maths teacher resources
We’ve created the practice questions on these division sheets to allow your students to have a go at all significant aspects of the content, but also to notice something about the structure behind each content area.
Pupils need to engage in reasoning to explain why they’re seeing the results they are.
This worksheet is suitable for KS3 maths, although this topic also appears on Foundation tier at GCSE level.
Worksheets requiring arithmetic have been limited, on the whole, to integer calculation. This means you can use them with pupils who may not yet be fluent in decimal/fractional arithmetic.
Where pupils have these pre-requisite skills, we recommend adapting the questions (where appropriate) to include this content.
We’ve included an answer sheet in the download for your convenience.
Peter Mattock is an assistant headteacher and secondary mastery lead for the East Midlands South Maths Hub. He’s the author of Visible Maths and Conceptual Maths (Crown House Publishing). Follow Peter on Twitter at @MrMattock.
Discover more KS3 fractions resources. Download 100+ problem-solving questions in our KS3 maths worksheets pack from White Rose Maths.
