Free Grade 3 Introducing Scalar Multiples Common Errors Worksheets
Free Grade 3 worksheets for Introducing Scalar Multiples 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.
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25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing scalar multiples common errors
Explain introducing scalar multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing scalar multiples common errors
Calculate introducing scalar multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing scalar multiples common errors
Compare introducing scalar multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing scalar multiples common errors
Justify introducing scalar multiples 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 Introducing Scalar Multiples 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 18.[1]
- 2.List all the factors of 20.[1]
- 3.List all the factors of 28.[1]
- 4.List all the factors of 30.[1]
- 5.Find the highest common factor (HCF) of 27 and 18.[2]
- 6.Find the highest common factor (HCF) of 48 and 48.[2]
- 7.Find the highest common factor (HCF) of 42 and 24.[2]
- 8.Find the highest common factor (HCF) of 30 and 30.[2]
- 9.Find the lowest common multiple (LCM) of 49 and 14.[3]
- 10.Find the lowest common multiple (LCM) of 36 and 12.[3]
- 11.Find the lowest common multiple (LCM) of 18 and 45.[3]
- 12.Find the lowest common multiple (LCM) of 54 and 45.[3]
Show answers and working
1. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 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, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
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. 9
List factors of 27 and 18. The largest factor they share is 9.
6. 48
List factors of 48 and 48. The largest factor they share is 48.
7. 6
List factors of 42 and 24. The largest factor they share is 6.
8. 30
List factors of 30 and 30. The largest factor they share is 30.
9. 98
HCF(49, 14) = 7. LCM = 49 × 14 ÷ 7 = 98.
10. 36
HCF(36, 12) = 12. LCM = 36 × 12 ÷ 12 = 36.
11. 90
HCF(18, 45) = 9. LCM = 18 × 45 ÷ 9 = 90.
12. 270
HCF(54, 45) = 9. LCM = 54 × 45 ÷ 9 = 270.
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 6 and 6.
- List factors of 6 and 6.
- The largest factor they share is 6.
- Answer: 6
Find the lowest common multiple (LCM) of 28 and 20.
- HCF(28, 20) = 4.
- LCM = 28 × 20 ÷ 4 = 140.
- Answer: 140
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
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Frequently asked
- Is this Grade 3 Introducing Scalar Multiples Common Errors 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 Introducing Scalar Multiples Word Problems, Introducing Scalar Multiples Techniques, 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 Introducing Scalar Multiples Common Errors?
- Move on to Working with Scalar Multiples, Scalar Multiples in Context, which build directly on this idea.
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