Free Grade 3 Working with Imaginary Unit Worksheets
Free Grade 3 worksheets for Working with Imaginary Unit: 12 real questions with a full answer key and worked solutions. Metric units change by powers of 10: 10 mm in a cm, 100 cm in a m, 1000 m in a km. Multiply to convert to a smaller unit, divide to convert to a bigger one.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with imaginary unit
Explain working with imaginary unit accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with imaginary unit
Calculate working with imaginary unit accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with imaginary unit
Compare working with imaginary unit accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with imaginary unit
Justify working with imaginary unit 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 Imaginary Unit works
Metric units change by powers of 10: 10 mm in a cm, 100 cm in a m, 1000 m in a km. Multiply to convert to a smaller unit, divide to convert to a bigger one.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Convert 4 km to m.[1]
- 2.Convert 5 cm to mm.[1]
- 3.Convert 4 L to mL.[1]
- 4.Convert 8 L to mL.[1]
- 5.Convert 7.9 m to cm.[2]
- 6.Convert 3.1 kg to g.[2]
- 7.Convert 5.9 cm to mm.[2]
- 8.Convert 1.9 L to mL.[2]
- 9.Convert 4.1 kg to g.[3]
- 10.Convert 6.6 km to m.[3]
- 11.Convert 7.2 L to mL.[3]
- 12.Convert 4.7 kg to g.[3]
Show answers and working
1. 4000 m
1 km = 1000 m. 4 × 1000 = 4000 m.
2. 50 mm
1 cm = 10 mm. 5 × 10 = 50 mm.
3. 4000 mL
1 L = 1000 mL. 4 × 1000 = 4000 mL.
4. 8000 mL
1 L = 1000 mL. 8 × 1000 = 8000 mL.
5. 790 cm
1 m = 100 cm. 7.9 × 100 = 790 cm.
6. 3100 g
1 kg = 1000 g. 3.1 × 1000 = 3100 g.
7. 59 mm
1 cm = 10 mm. 5.9 × 10 = 59 mm.
8. 1900 mL
1 L = 1000 mL. 1.9 × 1000 = 1900 mL.
9. 4100 g
1 kg = 1000 g. 4.1 × 1000 = 4100 g.
10. 6600 m
1 km = 1000 m. 6.6 × 1000 = 6600 m.
11. 7200 mL
1 L = 1000 mL. 7.2 × 1000 = 7200 mL.
12. 4700 g
1 kg = 1000 g. 4.7 × 1000 = 4700 g.
Worked examples
Convert 3 km to m.
- 1 km = 1000 m.
- 3 × 1000 = 3000 m.
- Answer: 3000 m
Convert 4.1 cm to mm.
- 1 cm = 10 mm.
- 4.1 × 10 = 41 mm.
- Answer: 41 mm
Convert 7.6 km to m.
- 1 km = 1000 m.
- 7.6 × 1000 = 7600 m.
- Answer: 7600 m
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides when converting to a smaller unit.
Correction: Smaller units mean more of them — multiply.
Uses 100 for every conversion.
Correction: Learn which pairs use 10, 100 or 1000.
Teacher tips
- · Keep a conversion staircase on the wall.
Parent tips
- · Weigh fruit at the shop and convert kg to g.
Real-life applications
- · Cooking, measuring height, reading road signs.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Imaginary Unit
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Frequently asked
- Is this Grade 3 Working with Imaginary Unit 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 Imaginary Unit, Real Numbers. 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 Working with Imaginary Unit?
- Move on to Imaginary Unit in Context, Argand Diagram, Complex Arithmetic, Modulus and Argument, which build directly on this idea.
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