GCSE Maths
GCSE Maths The Cosine Rule Exam Questions
Free GCSE Maths exam questions on The Cosine Rule, with full model answers. Covers finding sides and angles using the cosine rule.
The Cosine Rule exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About GCSE Maths The Cosine Rule
The Cosine Rule is a Grade 7+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.
What you need to know
- Side a² = b² + c² − 2bc cos A.
- Angle cos A = (b² + c² − a²)/2bc.
- When Two sides and included angle, or three sides.
Common mistakes in The Cosine Rule
- Order of operations errors.
- Forgetting the square root.
Try two The Cosine Rule exam-style questions
1. Find a if b = 5, c = 7, A = 60°. (2 marks)
Show the mark scheme answer
6.24
2. Find the largest angle with sides 5, 6, 8. (2 marks)
Show the mark scheme answer
92.9°
The Cosine Rule FAQs
Which exam boards include The Cosine Rule?
These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is The Cosine Rule in GCSE Maths?
It is a Grade 7+ topic, so it mostly appears on Higher tier papers.
How should I use these The Cosine Rule questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
