Free Grade 3 Scalar Multiples in Context Worksheets
Free Grade 3 worksheets for Scalar 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify scalar multiples in context
Identify scalar multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain scalar multiples in context
Explain scalar multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate scalar multiples in context
Calculate scalar multiples in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare scalar multiples in context
Compare scalar 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 Scalar 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 20.[1]
- 3.List all the factors of 40.[1]
- 4.List all the factors of 18.[1]
- 5.Find the highest common factor (HCF) of 54 and 45.[2]
- 6.Find the highest common factor (HCF) of 30 and 24.[2]
- 7.Find the highest common factor (HCF) of 28 and 24.[2]
- 8.Find the highest common factor (HCF) of 20 and 16.[2]
- 9.Find the lowest common multiple (LCM) of 16 and 48.[3]
- 10.Find the highest common factor (HCF) of 14 and 14.[3]
- 11.Find the lowest common multiple (LCM) of 12 and 42.[3]
- 12.Find the highest common factor (HCF) of 18 and 18.[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, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
3. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
4. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
5. 9
List factors of 54 and 45. The largest factor they share is 9.
6. 6
List factors of 30 and 24. The largest factor they share is 6.
7. 4
List factors of 28 and 24. The largest factor they share is 4.
8. 4
List factors of 20 and 16. The largest factor they share is 4.
9. 48
HCF(16, 48) = 16. LCM = 16 × 48 ÷ 16 = 48.
10. 14
List factors of 14 and 14. The largest factor they share is 14.
11. 84
HCF(12, 42) = 6. LCM = 12 × 42 ÷ 6 = 84.
12. 18
List factors of 18 and 18. The largest factor they share is 18.
Worked examples
List all the factors of 30.
- Find factor pairs that multiply to 30.
- 1 × 30
- 2 × 15
- 3 × 10
- 5 × 6
- Answer: 1, 2, 3, 5, 6, 10, 15, 30
Find the highest common factor (HCF) of 49 and 28.
- List factors of 49 and 28.
- The largest factor they share is 7.
- Answer: 7
Find the lowest common multiple (LCM) of 27 and 45.
- HCF(27, 45) = 9.
- LCM = 27 × 45 ÷ 9 = 135.
- Answer: 135
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 Scalar 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 Scalar Multiples, Introducing Scalar Multiples, Adding Vectors. 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 Scalar Multiples in Context?
- Move on to Vector Notation, Adding Vectors, Magnitude of a Vector, which build directly on this idea.
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