Free Grade 3 Factorising in Context Common Errors Quizzes
Free Grade 3 quizzes for Factorising in Context Common Errors: 12 real questions with a full answer key and worked solutions. Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain factorising in context common errors
Explain factorising in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate factorising in context common errors
Calculate factorising in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare factorising in context common errors
Compare factorising in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify factorising in context common errors
Justify factorising in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Factorising in Context Common Errors works
Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.List all the factors of 36.[1]
- 2.List all the factors of 28.[1]
- 3.List all the factors of 24.[1]
- 4.List all the factors of 20.[1]
- 5.Find the highest common factor (HCF) of 24 and 12.[2]
- 6.Find the highest common factor (HCF) of 4 and 4.[2]
- 7.Find the highest common factor (HCF) of 20 and 10.[2]
- 8.Find the highest common factor (HCF) of 28 and 16.[2]
- 9.Find the lowest common multiple (LCM) of 48 and 16.[3]
- 10.Find the lowest common multiple (LCM) of 15 and 21.[3]
- 11.Find the lowest common multiple (LCM) of 15 and 10.[3]
- 12.Find the highest common factor (HCF) of 42 and 42.[3]
Show answers and working
1. 1, 2, 3, 4, 6, 9, 12, 18, 36
Find factor pairs that multiply to 36. 1 × 36 2 × 18 3 × 12 4 × 9 6 × 6
2. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
3. 1, 2, 3, 4, 6, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
4. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
5. 12
List factors of 24 and 12. The largest factor they share is 12.
6. 4
List factors of 4 and 4. The largest factor they share is 4.
7. 10
List factors of 20 and 10. The largest factor they share is 10.
8. 4
List factors of 28 and 16. The largest factor they share is 4.
9. 48
HCF(48, 16) = 16. LCM = 48 × 16 ÷ 16 = 48.
10. 105
HCF(15, 21) = 3. LCM = 15 × 21 ÷ 3 = 105.
11. 30
HCF(15, 10) = 5. LCM = 15 × 10 ÷ 5 = 30.
12. 42
List factors of 42 and 42. The largest factor they share is 42.
Worked examples
List all the factors of 40.
- Find factor pairs that multiply to 40.
- 1 × 40
- 2 × 20
- 4 × 10
- 5 × 8
- Answer: 1, 2, 4, 5, 8, 10, 20, 40
Find the highest common factor (HCF) of 35 and 10.
- List factors of 35 and 10.
- The largest factor they share is 5.
- Answer: 5
Find the highest common factor (HCF) of 8 and 8.
- List factors of 8 and 8.
- The largest factor they share is 8.
- Answer: 8
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up factors and multiples.
Correction: Factors are Few (they fit inside), multiples are Many (they go on forever).
Misses factor pairs.
Correction: Work through 1, 2, 3… in order until the pairs meet.
Teacher tips
- · Use factor rainbows to show pairs.
Parent tips
- · Ask how many ways 24 sweets can be put into equal bags.
Real-life applications
- · Arranging chairs in equal rows, syncing bus timetables (LCM).
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Factorising in Context Common Errors quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Factorising in Context Word Problems, Factorising in Context Techniques, Working with Factorising. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Factorising in Context Common Errors?
- Move on to Introducing Factorising, Working with Factorising, which build directly on this idea.
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