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FreeMathWorksheet

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TN-MATH-GR6-39570 · v3.6

Cosine Ratio

Grade 6 · Math · Trigonometry · Cambridge (CAIE)

Grade

Grade 6

Subject

Math

Topic

Trigonometry

Subtopic

Cosine Ratio

Curriculum

Cambridge (CAIE)

Difficulty

Foundation

Time

10 minutes

Total marks

37

Student name

Teacher name

Date

Learning objectives

  • Recognise cosine ratio accurately in math contexts.
  • Explain the underlying rule of cosine ratio in the student's own words.
  • Apply cosine ratio 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 10 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 2 marks

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

  1. 1.State one fact you already know about cosine ratio.

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

    [1]

Recall

Bloom: Remember · 2 marks

Complete from memory. No calculator, no notes.

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

    [1]
  2. 2.Label the key term used in cosine ratio described here: item 2.

    [1]

FreeMathWorksheet · TN-MATH-GR6-39570 · v3.6

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

Page 1 of 4

FreeMathWorksheet · Grade 6 Math

Cosine Ratio

Basic Practice

Bloom: Understand · 3 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for cosine ratio.

    [1]
  2. 2.Identify part 2 using the rule for cosine ratio.

    [1]
  3. 3.Match part 3 using the rule for cosine ratio.

    [1]

Guided Practice

Bloom: Understand · 4 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]

Independent Practice

Bloom: Apply · 6 marks

No scaffolding. Set out your full method.

  1. 1.Work out fully part 1 on cosine ratio without help.

    [2]
  2. 2.Solve part 2 on cosine ratio without help.

    [2]
  3. 3.Determine part 3 on cosine ratio without help.

    [2]

FreeMathWorksheet · TN-MATH-GR6-39570 · v3.6

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

Page 2 of 4

FreeMathWorksheet · Grade 6 Math

Cosine Ratio

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Show that the statement in part 1 about cosine ratio.

    [3]
  2. 2.Deduce the statement in part 2 about cosine ratio.

    [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 cosine ratio.

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

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

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

    [4]
  2. 2.Evaluate whether a student's method for cosine ratio is or is not efficient.

    [4]

FreeMathWorksheet · TN-MATH-GR6-39570 · v3.6

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

Page 3 of 4

FreeMathWorksheet · Grade 6 Math

Cosine Ratio

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with cosine ratio and what you will practise next.

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

    [—]

FreeMathWorksheet · TN-MATH-GR6-39570 · v3.6

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

Page 4 of 4