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Free Grade 3 Working with Imaginary Unit Quizzes

Free Grade 3 quizzes 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.

Price

Free

Difficulty

Higher

Estimated time

35 min

Total marks

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.

Key wordsmillimetrecentimetremetrekilogramlitreconvert

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.Convert 3 L to mL.[1]
  2. 2.Convert 5 m to cm.[1]
  3. 3.Convert 4 m to cm.[1]
  4. 4.Convert 3 cm to mm.[1]
  5. 5.Convert 3.2 km to m.[2]
  6. 6.Convert 5.9 km to m.[2]
  7. 7.Convert 4.4 kg to g.[2]
  8. 8.Convert 4.8 m to cm.[2]
  9. 9.Convert 1.4 km to m.[3]
  10. 10.Convert 7.7 m to cm.[3]
  11. 11.Convert 6.6 L to mL.[3]
  12. 12.Convert 5.7 m to cm.[3]
Show answers and working
  1. 1. 3000 mL

    1 L = 1000 mL. 3 × 1000 = 3000 mL.

  2. 2. 500 cm

    1 m = 100 cm. 5 × 100 = 500 cm.

  3. 3. 400 cm

    1 m = 100 cm. 4 × 100 = 400 cm.

  4. 4. 30 mm

    1 cm = 10 mm. 3 × 10 = 30 mm.

  5. 5. 3200 m

    1 km = 1000 m. 3.2 × 1000 = 3200 m.

  6. 6. 5900 m

    1 km = 1000 m. 5.9 × 1000 = 5900 m.

  7. 7. 4400 g

    1 kg = 1000 g. 4.4 × 1000 = 4400 g.

  8. 8. 480 cm

    1 m = 100 cm. 4.8 × 100 = 480 cm.

  9. 9. 1400 m

    1 km = 1000 m. 1.4 × 1000 = 1400 m.

  10. 10. 770 cm

    1 m = 100 cm. 7.7 × 100 = 770 cm.

  11. 11. 6600 mL

    1 L = 1000 mL. 6.6 × 1000 = 6600 mL.

  12. 12. 570 cm

    1 m = 100 cm. 5.7 × 100 = 570 cm.

Worked examples

Easy example

Convert 8 kg to g.

  1. 1 kg = 1000 g.
  2. 8 × 1000 = 8000 g.
  3. Answer: 8000 g
Medium example

Convert 9.7 m to cm.

  1. 1 m = 100 cm.
  2. 9.7 × 100 = 970 cm.
  3. Answer: 970 cm
Hard example

Convert 3.4 kg to g.

  1. 1 kg = 1000 g.
  2. 3.4 × 1000 = 3400 g.
  3. Answer: 3400 g

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.

FBISE FBI-768.1 — Mapped statement covering Working with Imaginary Unit.COMMON-CORE COM-508.2 — Mapped statement covering Working with Imaginary Unit.

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Frequently asked

Is this Grade 3 Working with Imaginary Unit 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 Introducing Imaginary Unit, Real Numbers. 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 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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