Free Grade 3 Working with Multiples Common Errors Quizzes
Free Grade 3 quizzes 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
15 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 20.[1]
- 2.List all the factors of 18.[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 12 and 18.[2]
- 6.Find the highest common factor (HCF) of 12 and 8.[2]
- 7.Find the highest common factor (HCF) of 10 and 35.[2]
- 8.Find the highest common factor (HCF) of 42 and 35.[2]
- 9.Find the lowest common multiple (LCM) of 12 and 15.[3]
- 10.Find the highest common factor (HCF) of 36 and 36.[3]
- 11.Find the lowest common multiple (LCM) of 35 and 30.[3]
- 12.Find the highest common factor (HCF) of 30 and 30.[3]
Show answers and working
1. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
2. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
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. 6
List factors of 12 and 18. The largest factor they share is 6.
6. 4
List factors of 12 and 8. The largest factor they share is 4.
7. 5
List factors of 10 and 35. The largest factor they share is 5.
8. 7
List factors of 42 and 35. The largest factor they share is 7.
9. 60
HCF(12, 15) = 3. LCM = 12 × 15 ÷ 3 = 60.
10. 36
List factors of 36 and 36. The largest factor they share is 36.
11. 210
HCF(35, 30) = 5. LCM = 35 × 30 ÷ 5 = 210.
12. 30
List factors of 30 and 30. The largest factor they share is 30.
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 63 and 18.
- List factors of 63 and 18.
- The largest factor they share is 9.
- Answer: 9
Find the lowest common multiple (LCM) of 45 and 18.
- HCF(45, 18) = 9.
- LCM = 45 × 18 ÷ 9 = 90.
- Answer: 90
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 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 Multiples Word Problems, Working with Multiples Techniques, Introducing Multiples. 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 Working with Multiples Common Errors?
- Move on to Introducing Multiples, Multiples in Context, which build directly on this idea.
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