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Free Grade 3 Introducing Place Value Quizzes

Free Grade 3 quizzes for Introducing Place Value: 12 real questions with a full answer key and worked solutions. The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.

Price

Free

Difficulty

Stretch

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing place value

    Identify introducing place value accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing place value

    Explain introducing place value accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing place value

    Calculate introducing place value accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing place value

    Compare introducing place value 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 Introducing Place Value works

The position of a digit decides its value. In 4,382 the 3 is worth 300 because it is in the hundreds column. Each column is worth ten times the one to its right.

Key wordsdigitonestenshundredsthousandsplace value

12 practice questions

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

  1. 1.What is the value of the digit 2 in 529?[1]
  2. 2.What is the value of the digit 9 in 933?[1]
  3. 3.What is the value of the digit 3 in 633?[1]
  4. 4.What is the value of the digit 1 in 319?[1]
  5. 5.What is the value of the digit 7 in 3,576?[2]
  6. 6.What is the value of the digit 7 in 2,237?[2]
  7. 7.What is the value of the digit 2 in 2,144?[2]
  8. 8.What is the value of the digit 9 in 8,809?[2]
  9. 9.What is the value of the digit 2 in 234,005?[3]
  10. 10.What is the value of the digit 5 in 65,455?[3]
  11. 11.What is the value of the digit 1 in 138,268?[3]
  12. 12.What is the value of the digit 9 in 711,609?[3]
Show answers and working
  1. 1. 20

    Count places from the right: the 2 sits in the tens column. 2 × 10 = 20

  2. 2. 900

    Count places from the right: the 9 sits in the hundreds column. 9 × 100 = 900

  3. 3. 3

    Count places from the right: the 3 sits in the ones column. 3 × 1 = 3

  4. 4. 10

    Count places from the right: the 1 sits in the tens column. 1 × 10 = 10

  5. 5. 70

    Count places from the right: the 7 sits in the tens column. 7 × 10 = 70

  6. 6. 7

    Count places from the right: the 7 sits in the ones column. 7 × 1 = 7

  7. 7. 2,000

    Count places from the right: the 2 sits in the thousands column. 2 × 1,000 = 2,000

  8. 8. 9

    Count places from the right: the 9 sits in the ones column. 9 × 1 = 9

  9. 9. 200,000

    Count places from the right: the 2 sits in the hundred thousands column. 2 × 100,000 = 200,000

  10. 10. 5,000

    Count places from the right: the 5 sits in the thousands column. 5 × 1,000 = 5,000

  11. 11. 100,000

    Count places from the right: the 1 sits in the hundred thousands column. 1 × 100,000 = 100,000

  12. 12. 9

    Count places from the right: the 9 sits in the ones column. 9 × 1 = 9

Worked examples

Easy example

What is the value of the digit 3 in 363?

  1. Count places from the right: the 3 sits in the ones column.
  2. 3 × 1 = 3
  3. Answer: 3
Medium example

What is the value of the digit 5 in 3,585?

  1. Count places from the right: the 5 sits in the hundreds column.
  2. 5 × 100 = 500
  3. Answer: 500
Hard example

What is the value of the digit 2 in 805,528?

  1. Count places from the right: the 2 sits in the tens column.
  2. 2 × 10 = 20
  3. Answer: 20

Interactive practice

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

Common mistakes

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

  • Gives the digit instead of its value (says 3 instead of 300).

    Correction: Ask: how many hundreds is that? Then write it as a full number.

  • Forgets zero as a placeholder (writes 4,050 as 45).

    Correction: Use a place-value chart and fill every empty column with 0.

Teacher tips

  • · Build numbers with base-ten blocks before writing them.

Parent tips

  • · Read big numbers on receipts and ask what each digit is worth.

Real-life applications

  • · Reading prices, house numbers and big numbers in the news.

Assessment objectives

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

CAMBRIDGE CAM-524.1 — Mapped statement covering Introducing Place Value.NATIONAL-CURRICULUM NAT-800.2 — Mapped statement covering Introducing Place Value.

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Frequently asked

Is this Grade 3 Introducing Place Value 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 Reading Whole 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 Introducing Place Value?
Move on to Working with Place Value, Place Value in Context, Reading Whole Numbers, Digits, which build directly on this idea.

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