Free Grade 3 Working with Multiples Common Errors Flashcards
Free Grade 3 flashcards for Working with 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.
Free
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with multiples common errors
Explain working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with multiples common errors
Calculate working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with multiples common errors
Compare working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with multiples common errors
Justify working with 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 Working with 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 40.[1]
- 2.List all the factors of 30.[1]
- 3.List all the factors of 28.[1]
- 4.List all the factors of 12.[1]
- 5.Find the highest common factor (HCF) of 24 and 18.[2]
- 6.Find the highest common factor (HCF) of 15 and 12.[2]
- 7.Find the highest common factor (HCF) of 20 and 20.[2]
- 8.Find the highest common factor (HCF) of 6 and 10.[2]
- 9.Find the lowest common multiple (LCM) of 15 and 18.[3]
- 10.Find the highest common factor (HCF) of 15 and 15.[3]
- 11.Find the lowest common multiple (LCM) of 24 and 12.[3]
- 12.Find the lowest common multiple (LCM) of 25 and 20.[3]
Show answers and working
1. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
2. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
3. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
4. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
5. 6
List factors of 24 and 18. The largest factor they share is 6.
6. 3
List factors of 15 and 12. The largest factor they share is 3.
7. 20
List factors of 20 and 20. The largest factor they share is 20.
8. 2
List factors of 6 and 10. The largest factor they share is 2.
9. 90
HCF(15, 18) = 3. LCM = 15 × 18 ÷ 3 = 90.
10. 15
List factors of 15 and 15. The largest factor they share is 15.
11. 24
HCF(24, 12) = 12. LCM = 24 × 12 ÷ 12 = 24.
12. 100
HCF(25, 20) = 5. LCM = 25 × 20 ÷ 5 = 100.
Worked examples
List all the factors of 18.
- Find factor pairs that multiply to 18.
- 1 × 18
- 2 × 9
- 3 × 6
- Answer: 1, 2, 3, 6, 9, 18
Find the highest common factor (HCF) of 27 and 54.
- List factors of 27 and 54.
- The largest factor they share is 27.
- Answer: 27
Find the lowest common multiple (LCM) of 21 and 42.
- HCF(21, 42) = 21.
- LCM = 21 × 42 ÷ 21 = 42.
- Answer: 42
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 Working with Multiples Common Errors flashcards really free?
- Yes. Every flashcards 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 Word Problems, Working with Multiples Techniques, Introducing Multiples. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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 Working with Multiples Common Errors?
- Move on to Introducing Multiples, Multiples in Context, which build directly on this idea.
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