Year 6 · Autumn term · Addition, subtraction, multiplication and division · Step 2
Year 6 Common factors worksheets
Find factors, common factors and the highest common factor. Two free editable Word sheets with the same questions: one scaffolded, one not. The answers follow the questions in each file: the same sheet again with every answer in red.
Download the worksheets
Both sheets have exactly the same questions, so the whole class can be taught together. Print on A4 portrait: every page carries the sheet twice, side by side, so you can cut down the middle and two pupils each get a half to stick in their books. Every question sits in its own box and pupils write their answers in their book. The answers follow the questions in each file: the same sheet again with every answer in red. Both open in Word, Google Docs, Pages and LibreOffice, so you can change numbers, delete questions or add your own.
Scaffolded sheet
Key words highlighted, a hint under each question, and help charts or number lines. For pupils who are working towards the expected standard.
Not scaffolded sheet
The same questions without the extra support. For pupils working at the expected standard: eight fluency questions first, then the reasoning questions.
Sample questions from this step
These are real questions from the first set of the sheet (two from the fluency page, two from the reasoning page). Open each one to see the answer.
- Write all the factors of each number.a) 18: ____b) 48: ____
Show the answer
1, 2, 3, 6, 9, 18; 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Find the common factors of each pair of numbers.a) 18 and 27: ____b) 20 and 60: ____c) 16 and 25: ____
Show the answer
1, 3, 9; 1, 2, 4, 5, 10, 20; 1
- I am making party bags. I have 35 sweets and 25 balloons. I can make 5 bags with no sweets or balloons left over.Is Boba correct? Circle yes or no.Circle yes or no.Explain how you know.What is the greatest number of bags she can make? ____
Show the answer
Yes; 5 is a common factor of 35 and 25: 35 ÷ 5 = 7 and 25 ÷ 5 = 5.; 5
- I can use a common factor to simplify 36/60.Divide the top and bottom of 36/60 by their greatest common factor. What fraction do you get? ____
Show the answer
3/5
What is on each sheet
- Fluency: eight questions that start easy and get harder, with the key skill of the step practised in different ways.
- Reasoning: questions with pictures, tables and number lines (spot the mistake, true or false and explain, puzzles with one answer, an open-ended task).
- Answers in the same file: the sheet again with every answer in red, so there is only one file to download.
- Boba characters give the instructions in speech bubbles. They are decoration only.
Why one set of questions?
- Everyone works on the same content, and support comes from scaffolds instead of different, easier tasks. This follows the mastery approach described by the NCETM and the thinking in Ofsted's 2021 mathematics research review.
- Worked examples and visual representations lighten the load for pupils who need it, as the Education Endowment Foundation describes.
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