FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-O-LVL-79380 · v3.0

Expanding Brackets

O Level · Math · Algebra · Cambridge (CAIE)

Grade

O Level

Subject

Math

Topic

Algebra

Subtopic

Expanding Brackets

Curriculum

Cambridge (CAIE)

Difficulty

Mixed

Time

35 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

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

    [1]
  2. 2.State one fact you already know about expanding brackets.

    [1]
  3. 3.Write down one fact you already know about expanding brackets.

    [1]
  4. 4.Write down one fact you already know about expanding brackets.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in expanding brackets described here: item 1.

    [1]
  2. 2.Complete the key term used in expanding brackets described here: item 2.

    [1]
  3. 3.Define the key term used in expanding brackets described here: item 3.

    [1]
  4. 4.Complete the key term used in expanding brackets described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-O-LVL-79380 · v3.0

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

Page 1 of 4

FreeMathWorksheet · O Level Math

Expanding Brackets

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for expanding brackets.

    [1]
  2. 2.Identify part 2 using the rule for expanding brackets.

    [1]
  3. 3.Work out part 3 using the rule for expanding brackets.

    [1]
  4. 4.Complete part 4 using the rule for expanding brackets.

    [1]
  5. 5.Match part 5 using the rule for expanding brackets.

    [1]

Guided Practice

Bloom: Understand · 8 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.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-O-LVL-79380 · v3.0

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

Page 2 of 4

FreeMathWorksheet · O Level Math

Expanding Brackets

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Work out fully part 1 on expanding brackets without help.

    [2]
  2. 2.Work out fully part 2 on expanding brackets without help.

    [2]
  3. 3.Solve part 3 on expanding brackets without help.

    [2]
  4. 4.Calculate part 4 on expanding brackets without help.

    [2]
  5. 5.Determine part 5 on expanding brackets 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 expanding brackets.

    [3]
  2. 2.Find and justify the statement in part 2 about expanding brackets.

    [3]
  3. 3.Prove the statement in part 3 about expanding brackets.

    [3]

FreeMathWorksheet · TN-MATH-O-LVL-79380 · v3.0

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

Page 3 of 4

FreeMathWorksheet · O Level Math

Expanding Brackets

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 expanding brackets.

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

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Compare and justify a student's method for expanding brackets is or is not efficient.

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

    [4]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with expanding brackets and what you will practise next.

    [—]
  2. 2.Record how confident you feel with expanding brackets and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-O-LVL-79380 · v3.0

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

Page 4 of 4