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Free Grade 3 Working with Negative Numbers Worksheets

Free Grade 3 worksheets for Working with Negative Numbers: 12 real questions with a full answer key and worked solutions. Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.

Price

Free

Difficulty

Core

Estimated time

15 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain working with negative numbers

    Explain working with negative numbers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with negative numbers

    Calculate working with negative numbers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with negative numbers

    Compare working with negative numbers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with negative numbers

    Justify working with negative numbers 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 Negative Numbers works

Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.

Key wordsintegernegativepositivenumber line

12 practice questions

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

  1. 1.7 − (-1) = ?[1]
  2. 2.-6 + (-1) = ?[1]
  3. 3.-5 + 0 = ?[1]
  4. 4.-7 − (-1) = ?[1]
  5. 5.-19 − (-4) = ?[2]
  6. 6.-8 + 15 = ?[2]
  7. 7.-18 + (-8) = ?[2]
  8. 8.-20 + 10 = ?[2]
  9. 9.-15 − 1 = ?[3]
  10. 10.10 − (-3) = ?[3]
  11. 11.9 + (-7) = ?[3]
  12. 12.-12 − 28 = ?[3]
Show answers and working
  1. 1. 8

    Subtracting (-1) is the same as adding 1. 7 + 1 = 8

  2. 2. -7

    Start at -6 on a number line. Move 1 left. You land on -7.

  3. 3. -5

    Start at -5 on a number line. Move 0 right. You land on -5.

  4. 4. -6

    Subtracting (-1) is the same as adding 1. -7 + 1 = -6

  5. 5. -15

    Subtracting (-4) is the same as adding 4. -19 + 4 = -15

  6. 6. 7

    Start at -8 on a number line. Move 15 right. You land on 7.

  7. 7. -26

    Start at -18 on a number line. Move 8 left. You land on -26.

  8. 8. -10

    Start at -20 on a number line. Move 10 right. You land on -10.

  9. 9. -16

    Subtracting 1 is the same as adding -1. -15 + (-1) = -16

  10. 10. 13

    Subtracting (-3) is the same as adding 3. 10 + 3 = 13

  11. 11. 2

    Start at 9 on a number line. Move 7 left. You land on 2.

  12. 12. -40

    Subtracting 28 is the same as adding -28. -12 + (-28) = -40

Worked examples

Easy example

-8 + 10 = ?

  1. Start at -8 on a number line.
  2. Move 10 right.
  3. You land on 2.
  4. Answer: 2
Medium example

-16 + (-19) = ?

  1. Start at -16 on a number line.
  2. Move 19 left.
  3. You land on -35.
  4. Answer: -35
Hard example

18 + 23 = ?

  1. Start at 18 on a number line.
  2. Move 23 right.
  3. You land on 41.
  4. Answer: 41

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Thinks −8 is bigger than −3.

    Correction: Further left on the number line means smaller.

  • Treats − (−4) as −4.

    Correction: Two minus signs together become a plus.

Teacher tips

  • · Use a vertical number line like a thermometer.

Parent tips

  • · Compare winter temperatures from the weather forecast.

Real-life applications

  • · Temperatures below zero, bank balances, floors below ground.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

OCR OCR-159.1 — Mapped statement covering Working with Negative Numbers.CAMBRIDGE CAM-767.2 — Mapped statement covering Working with Negative Numbers.

Every free resource for Working with Negative Numbers

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Frequently asked

Is this Grade 3 Working with Negative Numbers 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 Negative Numbers, Number Formation. 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 Negative Numbers?
Move on to Negative Numbers in Context, Integer Number Line, Adding Integers, Subtracting Integers, which build directly on this idea.

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