Factorising worksheets for TOEFL
Every worksheet on this page assesses factorising and nothing else. Choose the version that matches the job — diagnose, practise, revise, assess or stretch.
Learning objectives
- Recognise factorising accurately in math contexts.
- Explain the underlying rule of factorising in the student's own words.
- Apply factorising to multi-step and unfamiliar problems.
- Justify a chosen method and identify errors in another student's work.
Skills assessed
- Fluency and recall
- Method and setting out
- Reasoning and justification
- Problem solving in context
- Self-assessment
22 versions of Factorising
All versions share the branded header, answer key, marking scheme and print-ready layout.
By purpose
Same subtopic, different classroom job.The full pedagogical ladder, warm-up to reflection.
30 minanswer key separate
Sized for independent work at home with a parent note.
25 minanswer key separate
Guided practice designed for a single lesson slot.
20 minanswer key separate
Rapid recall plus mixed retrieval before an assessment.
25 minanswer key separate
Formal marks, marking scheme and grade boundaries.
40 minanswer key separate
Stretch and depth for students already secure.
35 minanswer key separate
Low-pressure spaced practice across the break.
20 minanswers included
Board-styled command words and mark allocations.
45 minanswer key separate
By difficulty
Foundation through Higher, plus differentiated tracks.Recognition and single-step practice only.
15 minanswer key separate
Two-step reasoning with scaffolded prompts.
25 minanswer key separate
Multi-step problems and justification.
40 minanswer key separate
Deliberately interleaved for retrieval strength.
35 minanswer key separate
Three parallel tracks on one sheet: support, core, stretch.
35 minanswer key separate
By audience
Student, teacher and self-marking copies.Clean sheet, working space, no answers.
30 minanswer key separate
Answers, marking scheme, misconceptions and tips inline.
30 minanswers included
Self-marking copy with worked solutions.
30 minanswers included
Assessment-safe copy for handing out.
30 minanswer key separate
By format
Print, interactive and time-boxed formats.Ink-light A4 / US Letter layout with clean answer space.
30 minanswer key separate
Answer on screen with instant checking.
20 minanswer key separate
Ten minutes, one page, one skill.
10 minanswer key separate
Every stage of the ladder at full length.
50 minanswer key separate
Fixed clock, exam conditions, mark total on the header.
20 minanswer key separate
Frequently asked
- Which factorising worksheet should I download first?
- Start with Easy as a five-minute diagnostic. If a student bands Secure or above, move straight to the Practice or Exam Style version.
- Does the teacher version differ from the student version?
- Same questions, same layout. The teacher version prints answers inline plus the marking scheme, misconceptions and teaching tips.
- Can I use these in class and at home?
- Yes. Classwork, homework and holiday practice versions are sized differently for each setting while keeping the same learning objective.
Related resources
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