A comprehensive guide to GCSE trigonometry practice questionswith detailed...
Maths524 views·Updated 16 Aug 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 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.
We thought you’d never ask...
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.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Maths524 views·Updated 16 Aug 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
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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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
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
By signing up you accept Terms of Service and Privacy Policy
Page 1: Introduction and Instructions
This page outlines the essential guidelines for approaching these SOHCAHTOA exam problems worksheet. The document is designed for GCSE 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.
We thought you’d never ask...
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.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar content
Most popular content in Maths
9MathsComprehensive Maths Concepts
Explore essential mathematical concepts including powers, geometry, statistics, and probability. This resource features 65 pages of detailed explanations, diagrams, and examples to enhance your understanding of topics such as right triangles, volume calculations, and data representation. Ideal for students seeking to strengthen their numeracy skills and grasp complex mathematical principles.
1080,2436,325
MathsGCSE Maths (Higher) // Revision Guide
The only GCSE maths (higher) revision guide you need to get a grade 9! Contains every topic, each with all potential question types and their solutions.
102,65761
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Explore the AQA Year 8 Term 3 Main Paper 2, featuring comprehensive solutions to key mathematical concepts including geometry, percentages, sequences, and data representation. This resource covers essential topics such as area calculations, properties of shapes, and survey analysis, making it ideal for exam preparation and revision.
83,562138
MathsTrigonometric Functions Overview
Explore the fundamentals of trigonometry, including the tangent, sine, and cosine functions. This summary covers key concepts such as SOH CAH TOA, trigonometric ratios, and methods for finding angles and sides in right triangles. Ideal for students preparing for exams or needing a quick reference.
91,77159
MathsComprehensive Maths Concepts
Explore essential mathematical concepts including polynomial theorems, logarithmic properties, trigonometric functions, and integration techniques. This resource covers everything from solving inequalities to understanding exponential functions, providing a solid foundation for A-level mathematics. Ideal for students aiming for top grades.
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Explore the key concepts from the 2018 GCSE Maths Paper 2, including compound interest, probability, standard form, and geometric transformations. This comprehensive summary covers essential topics such as interest rates, area calculations, and Venn diagrams, providing students with a clear understanding of the exam's requirements. Ideal for exam preparation and practice.
98,187411
MathsUnderstanding Surds
Explore the concept of surds, including their definition, examples, and methods for simplifying them. This summary covers key techniques for simplifying surds, such as identifying square factors and combining terms. Ideal for students looking to master radical expressions and enhance their understanding of square roots.
984620
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Comprehensive revision checklist covering essential topics for the GCSE Maths Foundation tier, including statistics, geometry, algebra, probability, and trigonometry. Perfect for students aiming to pass their exams with confidence.
113,86452
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Explore detailed solutions for the Foundation Tier Non-Calculator Maths exam. This resource covers key concepts such as probability, volume calculations, data representation, and more. Perfect for students preparing for their GCSE Maths exam, with step-by-step explanations and examples.
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Explore an extensive revision of crime and deviance topics, including theories, types of crime, and the impact of media. This resource covers key concepts such as Marxism, functionalism, gender and crime, and the influence of globalization on criminal behavior. Ideal for students seeking a thorough understanding of criminology and its various theories. Type: Full Topic Revision.
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Students love us — and so will you.
4.6/5App Store
4.7/5Google Play
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.
Stefan SiOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha KlichAndroid user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
AnnaiOS user