Free Grade 3 Scalar Multiples Lesson Plans
Free Grade 3 lesson plans for Scalar Multiples: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain scalar multiples
Explain scalar multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate scalar multiples
Calculate scalar multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare scalar multiples
Compare scalar multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify scalar multiples
Justify scalar multiples 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 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 28.[1]
- 2.List all the factors of 12.[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 9 and 18.[2]
- 6.Find the highest common factor (HCF) of 25 and 20.[2]
- 7.Find the highest common factor (HCF) of 24 and 56.[2]
- 8.Find the highest common factor (HCF) of 49 and 49.[2]
- 9.Find the lowest common multiple (LCM) of 15 and 6.[3]
- 10.Find the lowest common multiple (LCM) of 32 and 56.[3]
- 11.Find the highest common factor (HCF) of 30 and 30.[3]
- 12.Find the highest common factor (HCF) of 8 and 8.[3]
Show answers and working
1. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
2. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
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 9 and 18. The largest factor they share is 9.
6. 5
List factors of 25 and 20. The largest factor they share is 5.
7. 8
List factors of 24 and 56. The largest factor they share is 8.
8. 49
List factors of 49 and 49. The largest factor they share is 49.
9. 30
HCF(15, 6) = 3. LCM = 15 × 6 ÷ 3 = 30.
10. 224
HCF(32, 56) = 8. LCM = 32 × 56 ÷ 8 = 224.
11. 30
List factors of 30 and 30. The largest factor they share is 30.
12. 8
List factors of 8 and 8. The largest factor they share is 8.
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 30 and 12.
- List factors of 30 and 12.
- The largest factor they share is 6.
- Answer: 6
Find the highest common factor (HCF) of 42 and 42.
- List factors of 42 and 42.
- The largest factor they share is 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.
Every free resource for Scalar Multiples
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Scalar Multiples lesson plan really free?
- Yes. Every lesson plans 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 Adding Vectors, Vector Notation, Calculus. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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?
- Move on to Magnitude of a Vector, Vector Geometry, which build directly on this idea.
Related resources
Stuck on Scalar Multiples? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor