FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-IELTS-76842 · v3.5

Comparing Fractions

IELTS · Math · Fractions · AQA

Grade

IELTS

Subject

Math

Topic

Fractions

Subtopic

Comparing Fractions

Curriculum

AQA

Difficulty

Mixed

Time

35 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise comparing fractions accurately in math contexts.
  • Explain the underlying rule of comparing fractions in the student's own words.
  • Apply comparing 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 comparing fractions.

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

    [1]
  3. 3.Write down one fact you already know about comparing fractions.

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

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

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

    [1]
  2. 2.Label the key term used in comparing fractions described here: item 2.

    [1]
  3. 3.List the key term used in comparing fractions described here: item 3.

    [1]
  4. 4.Label the key term used in comparing fractions described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-IELTS-76842 · v3.5

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

Page 1 of 4

FreeMathWorksheet · IELTS Math

Comparing Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for comparing fractions.

    [1]
  2. 2.Work out part 2 using the rule for comparing fractions.

    [1]
  3. 3.Complete part 3 using the rule for comparing fractions.

    [1]
  4. 4.Identify part 4 using the rule for comparing fractions.

    [1]
  5. 5.Work out part 5 using the rule for comparing fractions.

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

    [2]
  4. 4.Complete the method for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-IELTS-76842 · v3.5

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

Page 2 of 4

FreeMathWorksheet · IELTS Math

Comparing Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Solve part 1 on comparing fractions without help.

    [2]
  2. 2.Calculate part 2 on comparing fractions without help.

    [2]
  3. 3.Calculate part 3 on comparing fractions without help.

    [2]
  4. 4.Calculate part 4 on comparing fractions without help.

    [2]
  5. 5.Work out fully part 5 on comparing fractions without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Find and justify the statement in part 1 about comparing fractions.

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

    [3]
  3. 3.Find and justify the statement in part 3 about comparing fractions.

    [3]

FreeMathWorksheet · TN-MATH-IELTS-76842 · v3.5

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

Page 3 of 4

FreeMathWorksheet · IELTS Math

Comparing Fractions

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.Apply a real math situation that depends on comparing fractions.

    [3]
  2. 2.Use the information to decide a real math situation that depends on comparing fractions.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Compare and justify a student's method for comparing fractions is or is not efficient.

    [4]
  2. 2.Compare and justify a student's method for comparing fractions is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

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

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

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

    [—]

FreeMathWorksheet · TN-MATH-IELTS-76842 · v3.5

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

Page 4 of 4