Free Grade 3 Factors in Context Quizzes
Free Grade 3 quizzes for Factors in Context: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain factors in context
Explain factors in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate factors in context
Calculate factors in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare factors in context
Compare factors in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify factors in context
Justify factors in context 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 Factors in Context 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 30.[1]
- 2.List all the factors of 12.[1]
- 3.List all the factors of 24.[1]
- 4.List all the factors of 18.[1]
- 5.Find the highest common factor (HCF) of 24 and 18.[2]
- 6.Find the highest common factor (HCF) of 54 and 36.[2]
- 7.Find the highest common factor (HCF) of 24 and 32.[2]
- 8.Find the highest common factor (HCF) of 21 and 28.[2]
- 9.Find the lowest common multiple (LCM) of 30 and 20.[3]
- 10.Find the highest common factor (HCF) of 35 and 35.[3]
- 11.Find the lowest common multiple (LCM) of 12 and 6.[3]
- 12.Find the lowest common multiple (LCM) of 4 and 14.[3]
Show answers and working
1. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
2. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
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, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
5. 6
List factors of 24 and 18. The largest factor they share is 6.
6. 18
List factors of 54 and 36. The largest factor they share is 18.
7. 8
List factors of 24 and 32. The largest factor they share is 8.
8. 7
List factors of 21 and 28. The largest factor they share is 7.
9. 60
HCF(30, 20) = 10. LCM = 30 × 20 ÷ 10 = 60.
10. 35
List factors of 35 and 35. The largest factor they share is 35.
11. 12
HCF(12, 6) = 6. LCM = 12 × 6 ÷ 6 = 12.
12. 28
HCF(4, 14) = 2. LCM = 4 × 14 ÷ 2 = 28.
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 24 and 24.
- List factors of 24 and 24.
- The largest factor they share is 24.
- Answer: 24
Find the lowest common multiple (LCM) of 21 and 49.
- HCF(21, 49) = 7.
- LCM = 21 × 49 ÷ 7 = 147.
- Answer: 147
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.
Every free resource for Factors in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Factors in Context 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 Working with Factors, Introducing Factors, Proportion. 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 Factors in Context?
- Move on to Multiples, Prime Numbers, Prime Factorisation, HCF, which build directly on this idea.
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