FreeMathWorksheet
FreeMathWorksheet

Exam Style

TN-MATH-GR3-74277 · v3.-8

Cosine Ratio

Grade 3 · Math · Trigonometry · National Curriculum (UK)

Grade

Grade 3

Subject

Math

Topic

Trigonometry

Subtopic

Cosine Ratio

Curriculum

National Curriculum (UK)

Difficulty

Higher

Time

45 minutes

Total marks

36

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 45 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 cosine ratio.

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

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

    [1]

Recall

Bloom: Remember · 3 marks

Complete from memory. No calculator, no notes.

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

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

    [1]
  3. 3.List the key term used in cosine ratio described here: item 3.

    [1]

FreeMathWorksheet · TN-MATH-GR3-74277 · v3.-8

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

Page 1 of 4

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Basic Practice

Bloom: Understand · 4 marks

Work through each item. Show the step you used.

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

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

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

    [1]
  4. 4.Complete part 4 using the rule for cosine ratio.

    [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.Using the first step given, finish 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]

FreeMathWorksheet · TN-MATH-GR3-74277 · v3.-8

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

Page 2 of 4

FreeMathWorksheet · Grade 3 Math

Cosine Ratio

Independent Practice

Bloom: Apply · 8 marks

No scaffolding. Set out your full method.

  1. 1.Calculate part 1 on cosine ratio without help.

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

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

    [2]
  4. 4.Solve part 4 on cosine ratio without help.

    [2]

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Prove the statement in part 1 about cosine ratio.

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

    [3]

FreeMathWorksheet · TN-MATH-GR3-74277 · v3.-8

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

Page 3 of 4

FreeMathWorksheet · Grade 3 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-GR3-74277 · v3.-8

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

Page 4 of 4