Free Grade 3 Multiples in Context Worksheets
Free Grade 3 worksheets for Multiples 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain multiples in context
Explain multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate multiples in context
Calculate multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare multiples in context
Compare multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify multiples in context
Justify multiples 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 Multiples 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 36.[1]
- 2.List all the factors of 40.[1]
- 3.List all the factors of 12.[1]
- 4.List all the factors of 30.[1]
- 5.Find the highest common factor (HCF) of 14 and 14.[2]
- 6.Find the highest common factor (HCF) of 10 and 8.[2]
- 7.Find the highest common factor (HCF) of 63 and 54.[2]
- 8.Find the highest common factor (HCF) of 18 and 18.[2]
- 9.Find the lowest common multiple (LCM) of 16 and 40.[3]
- 10.Find the lowest common multiple (LCM) of 12 and 28.[3]
- 11.Find the lowest common multiple (LCM) of 63 and 54.[3]
- 12.Find the lowest common multiple (LCM) of 12 and 14.[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, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
3. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
4. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
5. 14
List factors of 14 and 14. The largest factor they share is 14.
6. 2
List factors of 10 and 8. The largest factor they share is 2.
7. 9
List factors of 63 and 54. The largest factor they share is 9.
8. 18
List factors of 18 and 18. The largest factor they share is 18.
9. 80
HCF(16, 40) = 8. LCM = 16 × 40 ÷ 8 = 80.
10. 84
HCF(12, 28) = 4. LCM = 12 × 28 ÷ 4 = 84.
11. 378
HCF(63, 54) = 9. LCM = 63 × 54 ÷ 9 = 378.
12. 84
HCF(12, 14) = 2. LCM = 12 × 14 ÷ 2 = 84.
Worked examples
List all the factors of 24.
- Find factor pairs that multiply to 24.
- 1 × 24
- 2 × 12
- 3 × 8
- 4 × 6
- Answer: 1, 2, 3, 4, 6, 8, 12, 24
Find the highest common factor (HCF) of 12 and 30.
- List factors of 12 and 30.
- The largest factor they share is 6.
- Answer: 6
Find the lowest common multiple (LCM) of 10 and 20.
- HCF(10, 20) = 10.
- LCM = 10 × 20 ÷ 10 = 20.
- Answer: 20
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 Multiples in Context
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Frequently asked
- Is this Grade 3 Multiples in Context worksheet really free?
- Yes. Every worksheets 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 Multiples, Introducing Multiples, Factors. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Multiples in Context?
- Move on to Factors, Prime Numbers, Prime Factorisation, HCF, which build directly on this idea.
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