FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-GR3-26625 · v3.8

Decimals to Fractions

Grade 3 · Math · Decimals · College Board (AP/SAT)

Grade

Grade 3

Subject

Math

Topic

Decimals

Subtopic

Decimals to Fractions

Curriculum

College Board (AP/SAT)

Difficulty

Mixed

Time

35 minutes

Total marks

46

Student name

Teacher name

Date

Learning objectives

  • Recognise decimals to fractions accurately in math contexts.
  • Explain the underlying rule of decimals to fractions in the student's own words.
  • Apply decimals to fractions 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.Name one fact you already know about decimals to fractions.

    [1]
  2. 2.Name one fact you already know about decimals to fractions.

    [1]
  3. 3.State one fact you already know about decimals to fractions.

    [1]
  4. 4.State one fact you already know about decimals to fractions.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in decimals to fractions described here: item 1.

    [1]
  2. 2.Complete the key term used in decimals to fractions described here: item 2.

    [1]
  3. 3.Complete the key term used in decimals to fractions described here: item 3.

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

    [1]

FreeMathWorksheet · TN-MATH-GR3-26625 · v3.8

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

Page 1 of 4

FreeMathWorksheet · Grade 3 Math

Decimals to Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Identify part 1 using the rule for decimals to fractions.

    [1]
  2. 2.Identify part 2 using the rule for decimals to fractions.

    [1]
  3. 3.Work out part 3 using the rule for decimals to fractions.

    [1]
  4. 4.Match part 4 using the rule for decimals to fractions.

    [1]
  5. 5.Identify part 5 using the rule for decimals to fractions.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Continue the working for part 1. Step 1 has been started for you.

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

    [2]
  3. 3.Continue the working for part 3. Step 1 has been started for you.

    [2]
  4. 4.Continue the working for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR3-26625 · v3.8

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

Page 2 of 4

FreeMathWorksheet · Grade 3 Math

Decimals to Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on decimals to fractions without help.

    [2]
  2. 2.Work out fully part 2 on decimals to fractions without help.

    [2]
  3. 3.Determine part 3 on decimals to fractions without help.

    [2]
  4. 4.Determine part 4 on decimals to fractions without help.

    [2]
  5. 5.Solve part 5 on decimals to fractions without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about decimals to fractions.

    [3]
  2. 2.Prove the statement in part 2 about decimals to fractions.

    [3]
  3. 3.Deduce the statement in part 3 about decimals to fractions.

    [3]

FreeMathWorksheet · TN-MATH-GR3-26625 · v3.8

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

Page 3 of 4

FreeMathWorksheet · Grade 3 Math

Decimals to Fractions

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 decimals to fractions.

    [3]
  2. 2.Apply a real math situation that depends on decimals to fractions.

    [3]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Reflect on how confident you feel with decimals to fractions and what you will practise next.

    [—]
  2. 2.Describe how confident you feel with decimals to fractions and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR3-26625 · v3.8

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

Page 4 of 4