FreeMathWorksheet
FreeMathWorksheet

Mixed Difficulty

TN-MATH-IGCSE-61185 · v3.8

Sine Ratio

IGCSE · Math · Trigonometry · College Board (AP/SAT)

Grade

IGCSE

Subject

Math

Topic

Trigonometry

Subtopic

Sine Ratio

Curriculum

College Board (AP/SAT)

Difficulty

Mixed

Time

35 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

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

    [1]
  2. 2.Name one fact you already know about sine ratio.

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

    [1]
  4. 4.Name one fact you already know about sine ratio.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

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

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

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

    [1]
  4. 4.Complete the key term used in sine ratio described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-IGCSE-61185 · v3.8

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

Page 1 of 4

FreeMathWorksheet · IGCSE Math

Sine Ratio

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

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

    [1]
  2. 2.Complete part 2 using the rule for sine ratio.

    [1]
  3. 3.Complete part 3 using the rule for sine ratio.

    [1]
  4. 4.Match part 4 using the rule for sine ratio.

    [1]
  5. 5.Match part 5 using the rule for sine ratio.

    [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.Using the first step given, finish 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-IGCSE-61185 · v3.8

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

Page 2 of 4

FreeMathWorksheet · IGCSE Math

Sine Ratio

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on sine ratio without help.

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

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

    [2]
  4. 4.Calculate part 4 on sine ratio without help.

    [2]
  5. 5.Work out fully part 5 on sine ratio 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 sine ratio.

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

    [3]
  3. 3.Prove the statement in part 3 about sine ratio.

    [3]

FreeMathWorksheet · TN-MATH-IGCSE-61185 · v3.8

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

Page 3 of 4

FreeMathWorksheet · IGCSE Math

Sine Ratio

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 sine ratio.

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

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Evaluate whether a student's method for sine ratio is or is not efficient.

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

    [4]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Reflect on how confident you feel with sine ratio and what you will practise next.

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

    [—]

FreeMathWorksheet · TN-MATH-IGCSE-61185 · v3.8

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

Page 4 of 4