FreeMathWorksheet
FreeMathWorksheet

Medium

TN-MATH-TOEFL-95738 · v2.7

Symmetry

TOEFL · Math · Geometry · CBSE

Grade

TOEFL

Subject

Math

Topic

Geometry

Subtopic

Symmetry

Curriculum

CBSE

Difficulty

Core

Time

25 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise symmetry accurately in math contexts.
  • Explain the underlying rule of symmetry in the student's own words.
  • Apply symmetry 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 25 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.State one fact you already know about symmetry.

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

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

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

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

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

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

    [1]
  3. 3.Complete the key term used in symmetry described here: item 3.

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

    [1]

FreeMathWorksheet · TN-MATH-TOEFL-95738 · v2.7

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

Page 1 of 4

FreeMathWorksheet · TOEFL Math

Symmetry

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Work out part 1 using the rule for symmetry.

    [1]
  2. 2.Match part 2 using the rule for symmetry.

    [1]
  3. 3.Match part 3 using the rule for symmetry.

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

    [1]
  5. 5.Match part 5 using the rule for symmetry.

    [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.Continue the working 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-TOEFL-95738 · v2.7

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

Page 2 of 4

FreeMathWorksheet · TOEFL Math

Symmetry

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on symmetry without help.

    [2]
  2. 2.Solve part 2 on symmetry without help.

    [2]
  3. 3.Calculate part 3 on symmetry without help.

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

    [2]
  5. 5.Solve part 5 on symmetry without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Prove the statement in part 1 about symmetry.

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

    [3]
  3. 3.Prove the statement in part 3 about symmetry.

    [3]

FreeMathWorksheet · TN-MATH-TOEFL-95738 · v2.7

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

Page 3 of 4

FreeMathWorksheet · TOEFL Math

Symmetry

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 symmetry.

    [3]
  2. 2.Apply a real math situation that depends on symmetry.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

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

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

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

    [—]

FreeMathWorksheet · TN-MATH-TOEFL-95738 · v2.7

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

Page 4 of 4