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Free Grade 3 Integers Worksheets

Free Grade 3 worksheets for Integers: 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

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify integers

    Identify integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain integers

    Explain integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate integers

    Calculate integers accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare integers

    Compare integers 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 Integers 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. 1.3 − (-10) = ?[1]
  2. 2.10 − (-1) = ?[1]
  3. 3.9 − 8 = ?[1]
  4. 4.4 − 2 = ?[1]
  5. 5.8 − (-15) = ?[2]
  6. 6.13 × 7 = ?[2]
  7. 7.-20 + (-12) = ?[2]
  8. 8.19 × 1 = ?[2]
  9. 9.30 + (-11) = ?[3]
  10. 10.-26 × 19 = ?[3]
  11. 11.-27 × (-28) = ?[3]
  12. 12.6 × 21 = ?[3]
Show answers and working
  1. 1. 13

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

  2. 2. 11

    Subtracting (-1) is the same as adding 1. 10 + 1 = 11

  3. 3. 1

    Subtracting 8 is the same as adding -8. 9 + (-8) = 1

  4. 4. 2

    Subtracting 2 is the same as adding -2. 4 + (-2) = 2

  5. 5. 23

    Subtracting (-15) is the same as adding 15. 8 + 15 = 23

  6. 6. 91

    Multiply the sizes: 13 × 7 = 91. Same signs give positive, different signs give negative. Answer: 91

  7. 7. -32

    Start at -20 on a number line. Move 12 left. You land on -32.

  8. 8. 19

    Multiply the sizes: 19 × 1 = 19. Same signs give positive, different signs give negative. Answer: 19

  9. 9. 19

    Start at 30 on a number line. Move 11 left. You land on 19.

  10. 10. -494

    Multiply the sizes: 26 × 19 = 494. Same signs give positive, different signs give negative. Answer: -494

  11. 11. 756

    Multiply the sizes: 27 × 28 = 756. Same signs give positive, different signs give negative. Answer: 756

  12. 12. 126

    Multiply the sizes: 6 × 21 = 126. Same signs give positive, different signs give negative. Answer: 126

Worked examples

Easy example

5 − (-3) = ?

  1. Subtracting (-3) is the same as adding 3.
  2. 5 + 3 = 8
  3. Answer: 8
Medium example

-18 + 14 = ?

  1. Start at -18 on a number line.
  2. Move 14 right.
  3. You land on -4.
  4. Answer: -4
Hard example

5 + 2 = ?

  1. Start at 5 on a number line.
  2. Move 2 right.
  3. You land on 7.
  4. Answer: 7

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.

CAMBRIDGE CAM-646.1 — Mapped statement covering Integers.NATIONAL-CURRICULUM NAT-202.2 — Mapped statement covering Integers.

Every free resource for Integers

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

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Frequently asked

Is this Grade 3 Integers 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 Number Formation, Number Recognition. 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 Integers?
Move on to Fractions, Decimals, Percentages, Rational Numbers, which build directly on this idea.

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