A comprehensive guide to GCSE trigonometry practice questionswith detailed...
Maths524 views·Updated Jun 16, 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 Jun 16, 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...
1
of 8
Sign up to see the content. It's free!
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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!
- Access to all documents
- Improve your grades
- Join milions of students
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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Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
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