FreeMathWorksheet
FreeMathWorksheet

Student Version

TN-MATH-GR6-23123 · v2.-2

Pythagoras' Theorem

Grade 6 · Math · Trigonometry · OCR

Grade

Grade 6

Subject

Math

Topic

Trigonometry

Subtopic

Pythagoras' Theorem

Curriculum

OCR

Difficulty

Core

Time

30 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise pythagoras' theorem accurately in math contexts.
  • Explain the underlying rule of pythagoras' theorem in the student's own words.
  • Apply pythagoras' theorem 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 30 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.Circle one fact you already know about pythagoras' theorem.

    [1]
  2. 2.Name one fact you already know about pythagoras' theorem.

    [1]
  3. 3.Name one fact you already know about pythagoras' theorem.

    [1]
  4. 4.State one fact you already know about pythagoras' theorem.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in pythagoras' theorem described here: item 1.

    [1]
  2. 2.Label the key term used in pythagoras' theorem described here: item 2.

    [1]
  3. 3.List the key term used in pythagoras' theorem described here: item 3.

    [1]
  4. 4.Label the key term used in pythagoras' theorem described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-GR6-23123 · v2.-2

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

Page 1 of 4

FreeMathWorksheet · Grade 6 Math

Pythagoras' Theorem

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for pythagoras' theorem.

    [1]
  2. 2.Match part 2 using the rule for pythagoras' theorem.

    [1]
  3. 3.Match part 3 using the rule for pythagoras' theorem.

    [1]
  4. 4.Match part 4 using the rule for pythagoras' theorem.

    [1]
  5. 5.Complete part 5 using the rule for pythagoras' theorem.

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

    [2]
  3. 3.Complete the method 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-GR6-23123 · v2.-2

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

Page 2 of 4

FreeMathWorksheet · Grade 6 Math

Pythagoras' Theorem

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on pythagoras' theorem without help.

    [2]
  2. 2.Solve part 2 on pythagoras' theorem without help.

    [2]
  3. 3.Determine part 3 on pythagoras' theorem without help.

    [2]
  4. 4.Calculate part 4 on pythagoras' theorem without help.

    [2]
  5. 5.Determine part 5 on pythagoras' theorem without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Deduce the statement in part 1 about pythagoras' theorem.

    [3]
  2. 2.Prove the statement in part 2 about pythagoras' theorem.

    [3]
  3. 3.Deduce the statement in part 3 about pythagoras' theorem.

    [3]

FreeMathWorksheet · TN-MATH-GR6-23123 · v2.-2

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

Page 3 of 4

FreeMathWorksheet · Grade 6 Math

Pythagoras' Theorem

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 pythagoras' theorem.

    [3]
  2. 2.Use the information to decide a real math situation that depends on pythagoras' theorem.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Explain why a student's method for pythagoras' theorem is or is not efficient.

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

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

    [—]

FreeMathWorksheet · TN-MATH-GR6-23123 · v2.-2

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

Page 4 of 4