FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-GR3-85537 · v1.0

Place Value in Decimals

Grade 3 · Math · Decimals · National Curriculum (UK)

Grade

Grade 3

Subject

Math

Topic

Decimals

Subtopic

Place Value in Decimals

Curriculum

National Curriculum (UK)

Difficulty

Mixed

Time

35 minutes

Total marks

46

Student name

Teacher name

Date

Learning objectives

  • Recognise place value in decimals accurately in math contexts.
  • Explain the underlying rule of place value in decimals in the student's own words.
  • Apply place value in decimals to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 35 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 4 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Circle one fact you already know about place value in decimals.

    [1]
  2. 2.Name one fact you already know about place value in decimals.

    [1]
  3. 3.Write down one fact you already know about place value in decimals.

    [1]
  4. 4.Write down one fact you already know about place value in decimals.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in place value in decimals described here: item 1.

    [1]
  2. 2.Define the key term used in place value in decimals described here: item 2.

    [1]
  3. 3.Define the key term used in place value in decimals described here: item 3.

    [1]
  4. 4.Define the key term used in place value in decimals described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-GR3-85537 · v1.0

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 4

FreeMathWorksheet · Grade 3 Math

Place Value in Decimals

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for place value in decimals.

    [1]
  2. 2.Complete part 2 using the rule for place value in decimals.

    [1]
  3. 3.Match part 3 using the rule for place value in decimals.

    [1]
  4. 4.Work out part 4 using the rule for place value in decimals.

    [1]
  5. 5.Complete part 5 using the rule for place value in decimals.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Complete the method for part 1. Step 1 has been started for you.

    [2]
  2. 2.Complete the method for part 2. Step 1 has been started for you.

    [2]
  3. 3.Complete the method for part 3. Step 1 has been started for you.

    [2]
  4. 4.Using the first step given, finish part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR3-85537 · v1.0

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 4

FreeMathWorksheet · Grade 3 Math

Place Value in Decimals

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on place value in decimals without help.

    [2]
  2. 2.Work out fully part 2 on place value in decimals without help.

    [2]
  3. 3.Work out fully part 3 on place value in decimals without help.

    [2]
  4. 4.Calculate part 4 on place value in decimals without help.

    [2]
  5. 5.Solve part 5 on place value in decimals without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Prove the statement in part 1 about place value in decimals.

    [3]
  2. 2.Deduce the statement in part 2 about place value in decimals.

    [3]
  3. 3.Find and justify the statement in part 3 about place value in decimals.

    [3]

FreeMathWorksheet · TN-MATH-GR3-85537 · v1.0

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 4

FreeMathWorksheet · Grade 3 Math

Place Value in Decimals

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.In context, work out a real math situation that depends on place value in decimals.

    [3]
  2. 2.Use the information to decide a real math situation that depends on place value in decimals.

    [3]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Reflect on how confident you feel with place value in decimals and what you will practise next.

    [—]
  2. 2.Describe how confident you feel with place value in decimals and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR3-85537 · v1.0

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 4