FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-GR8-68392 · v1.-3

Simplifying Fractions

Grade 8 · Math · Fractions · AQA

Grade

Grade 8

Subject

Math

Topic

Fractions

Subtopic

Simplifying Fractions

Curriculum

AQA

Difficulty

Mixed

Time

35 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

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

    [1]
  2. 2.Circle one fact you already know about simplifying fractions.

    [1]
  3. 3.Circle one fact you already know about simplifying fractions.

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

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

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

    [1]
  2. 2.List the key term used in simplifying fractions described here: item 2.

    [1]
  3. 3.Label the key term used in simplifying fractions described here: item 3.

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

    [1]

FreeMathWorksheet · TN-MATH-GR8-68392 · v1.-3

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

Page 1 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying Fractions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for simplifying fractions.

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

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

    [1]
  4. 4.Work out part 4 using the rule for simplifying fractions.

    [1]
  5. 5.Identify part 5 using the rule for simplifying 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.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-GR8-68392 · v1.-3

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

Page 2 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying Fractions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Work out fully part 1 on simplifying fractions without help.

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

    [2]
  3. 3.Determine part 3 on simplifying fractions without help.

    [2]
  4. 4.Determine part 4 on simplifying fractions without help.

    [2]
  5. 5.Determine part 5 on simplifying 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 simplifying fractions.

    [3]
  2. 2.Deduce the statement in part 2 about simplifying fractions.

    [3]
  3. 3.Show that the statement in part 3 about simplifying fractions.

    [3]

FreeMathWorksheet · TN-MATH-GR8-68392 · v1.-3

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

Page 3 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying 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 simplifying fractions.

    [3]
  2. 2.In context, work out a real math situation that depends on simplifying fractions.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

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

    [4]
  2. 2.Explain why a student's method for simplifying 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 simplifying fractions and what you will practise next.

    [—]
  2. 2.Reflect on how confident you feel with simplifying fractions and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR8-68392 · v1.-3

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

Page 4 of 4