A comprehensive guide to GCSE trigonometry practice questionswith detailed... Show more
Maths524 views·Updated May 24, 2026·8 pagesFun GCSE Trigonometry Practice: SOHCAHTOA and More!
Simran@simran_task
1 / 8
1
of 8
Page 2: Basic Trigonometric Calculations
This page introduces fundamental Step-by-step trigonometry solutions GCSE with two starter problems focusing on sine and tangent ratios.
Example: Question 1 demonstrates finding a hypotenuse using sine ratio with Sin 35° = 20/x, resulting in x = 34.9
Vocabulary: Opposite - The side opposite to the angle in question Adjacent - The side adjacent to the angle in question Hypotenuse - The longest side of a right-angled triangle
2
of 8
Page 3: Intermediate Angle Calculations
This section progresses to more complex calculations involving inverse trigonometric functions.
Example: Question 3 uses inverse cosine (cos⁻¹) to find an angle where cos θ = 16/24
Highlight: Both questions on this page require understanding of inverse trigonometric functions to find angles rather than sides.
3
of 8
Page 4: Length Calculations
This page focuses on calculating unknown side lengths using trigonometric ratios.
Definition: Tangent ratio is used when working with opposite and adjacent sides (TOA in SOHCAHTOA)
Example: Question 5 uses tan 35° to find a length of 14.0 units
4
of 8
Page 5: Angle Calculations
These questions focus on determining unknown angles using inverse trigonometric functions.
Highlight: Question 7 demonstrates the use of inverse sine (sin⁻¹) to find an angle of 18.2°
Example: Question 8 uses inverse tangent to calculate an angle of 60.9°
5
of 8
Page 6: Complex Triangle Problems
This page introduces more sophisticated problems involving multiple steps.
Example: Question 9 requires finding an angle in a complex shape involving multiple right triangles
Highlight: The solution requires breaking down the problem into manageable steps using basic trigonometric ratios
6
of 8
Page 7: Advanced Length Calculations
This section presents more challenging problems requiring multiple steps and precise calculations.
Example: Question 10 involves using the Pythagorean theorem alongside trigonometric ratios
Highlight: Solutions must be given to 1 decimal place, emphasizing the importance of accuracy
7
of 8
Page 8: Final Complex Problem
The worksheet concludes with the most challenging question requiring multiple steps and careful analysis.
Example: Question 11 involves finding an angle in a complex triangle setup using multiple trigonometric calculations
Highlight: The final answer must be given to 1 decimal place (41.8°)
8
of 8
Page 1: Introduction and Instructions
This page outlines the essential guidelines for approaching these SOHCAHTOA exam problems worksheet. The document is designed for GCSE (1-9) mathematics students.
Highlight: Students must use black ink or ball-point pen and show all working out.
Definition: SOHCAHTOA is a mnemonic device used to remember the relationships between angles and sides in right-angled triangles.
The page emphasizes proper exam technique including time management and thorough checking of answers.
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Maths524 views·Updated May 24, 2026·8 pagesFun GCSE Trigonometry Practice: SOHCAHTOA and More!
Simran@simran_task
A comprehensive guide to GCSE trigonometry practice questions with detailed solutions using SOHCAHTOA principles.
- Features 11 progressively challenging trigonometry problems covering sine, cosine, and tangent
- Each question includes step-by-step solutions demonstrating proper SOHCAHTOA application
- Problems range from basic angle calculations... Show more
1
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 2: Basic Trigonometric Calculations
This page introduces fundamental Step-by-step trigonometry solutions GCSE with two starter problems focusing on sine and tangent ratios.
Example: Question 1 demonstrates finding a hypotenuse using sine ratio with Sin 35° = 20/x, resulting in x = 34.9
Vocabulary: Opposite - The side opposite to the angle in question Adjacent - The side adjacent to the angle in question Hypotenuse - The longest side of a right-angled triangle
2
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 3: Intermediate Angle Calculations
This section progresses to more complex calculations involving inverse trigonometric functions.
Example: Question 3 uses inverse cosine (cos⁻¹) to find an angle where cos θ = 16/24
Highlight: Both questions on this page require understanding of inverse trigonometric functions to find angles rather than sides.
3
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 4: Length Calculations
This page focuses on calculating unknown side lengths using trigonometric ratios.
Definition: Tangent ratio is used when working with opposite and adjacent sides (TOA in SOHCAHTOA)
Example: Question 5 uses tan 35° to find a length of 14.0 units
4
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 5: Angle Calculations
These questions focus on determining unknown angles using inverse trigonometric functions.
Highlight: Question 7 demonstrates the use of inverse sine (sin⁻¹) to find an angle of 18.2°
Example: Question 8 uses inverse tangent to calculate an angle of 60.9°
5
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 6: Complex Triangle Problems
This page introduces more sophisticated problems involving multiple steps.
Example: Question 9 requires finding an angle in a complex shape involving multiple right triangles
Highlight: The solution requires breaking down the problem into manageable steps using basic trigonometric ratios
6
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 7: Advanced Length Calculations
This section presents more challenging problems requiring multiple steps and precise calculations.
Example: Question 10 involves using the Pythagorean theorem alongside trigonometric ratios
Highlight: Solutions must be given to 1 decimal place, emphasizing the importance of accuracy
7
of 8Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Page 8: Final Complex Problem
The worksheet concludes with the most challenging question requiring multiple steps and careful analysis.
Example: Question 11 involves finding an angle in a complex triangle setup using multiple trigonometric calculations
Highlight: The final answer must be given to 1 decimal place (41.8°)
8
of 8Sign up to see the content. It's free!
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Page 1: Introduction and Instructions
This page outlines the essential guidelines for approaching these SOHCAHTOA exam problems worksheet. The document is designed for GCSE (1-9) mathematics students.
Highlight: Students must use black ink or ball-point pen and show all working out.
Definition: SOHCAHTOA is a mnemonic device used to remember the relationships between angles and sides in right-angled triangles.
The page emphasizes proper exam technique including time management and thorough checking of answers.
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Students love us — and so will you.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
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