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Factorising involving a single set of brackets
Click the tabs for extension tasks…
Given that \(x\) is a positive integer, explain why \(3x+21\) cannot be prime.
Given that \(n\) is positive integer, decide whether each of the following is true or false:
- 4 must be a factor of \(4n+12\)
- 8 cannot be a factor of \(4n+12\)
- 5 cannot be a factor of \(4n+12\)
- \(8n+12\) must be a multiple of \(4n+12\)
- \(8n+24\) must be a multiple of \(4n+12\)
- The highest common factor of \((5n+15)\) and \((4n+12)\) must be greater than 1
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- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
- Skills drill worksheet (40 questions on one side of A4; answers included)
- Desmos classroom activity: Factorising (20 randomised questions) Find out more
Links to past exam questions
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