FreeMathWorksheet
FreeMathWorksheet

Challenge Worksheet

TN-MATH-GR3-11462 · v2.2

Factorising

Grade 3 · Math · Algebra · AQA

Grade

Grade 3

Subject

Math

Topic

Algebra

Subtopic

Factorising

Curriculum

AQA

Difficulty

Higher

Time

35 minutes

Total marks

36

Student name

Teacher name

Date

Learning objectives

  • Recognise factorising accurately in math contexts.
  • Explain the underlying rule of factorising in the student's own words.
  • Apply factorising 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 · 3 marks

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

  1. 1.Write down one fact you already know about factorising.

    [1]
  2. 2.Write down one fact you already know about factorising.

    [1]
  3. 3.Name one fact you already know about factorising.

    [1]

Recall

Bloom: Remember · 3 marks

Complete from memory. No calculator, no notes.

  1. 1.List the key term used in factorising described here: item 1.

    [1]
  2. 2.Define the key term used in factorising described here: item 2.

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

    [1]

FreeMathWorksheet · TN-MATH-GR3-11462 · v2.2

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

Page 1 of 4

FreeMathWorksheet · Grade 3 Math

Factorising

Basic Practice

Bloom: Understand · 4 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for factorising.

    [1]
  2. 2.Complete part 2 using the rule for factorising.

    [1]
  3. 3.Identify part 3 using the rule for factorising.

    [1]
  4. 4.Complete part 4 using the rule for factorising.

    [1]

Guided Practice

Bloom: Understand · 6 marks

The first step is given. Finish the reasoning.

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

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

    [2]
  3. 3.Using the first step given, finish part 3. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR3-11462 · v2.2

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

Page 2 of 4

FreeMathWorksheet · Grade 3 Math

Factorising

Independent Practice

Bloom: Apply · 8 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on factorising without help.

    [2]
  2. 2.Determine part 2 on factorising without help.

    [2]
  3. 3.Work out fully part 3 on factorising without help.

    [2]
  4. 4.Solve part 4 on factorising without help.

    [2]

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about factorising.

    [3]
  2. 2.Prove the statement in part 2 about factorising.

    [3]

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.Use the information to decide a real math situation that depends on factorising.

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

    [3]

FreeMathWorksheet · TN-MATH-GR3-11462 · v2.2

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

Page 3 of 4

FreeMathWorksheet · Grade 3 Math

Factorising

Reflection

Bloom: Create · 0 marks

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

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

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

    [—]

FreeMathWorksheet · TN-MATH-GR3-11462 · v2.2

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

Page 4 of 4