A Level Further Maths
A Level Further Maths Proof and Mathematical Induction Exam Questions
Free A Level Further Maths exam questions on Proof and Mathematical Induction, with full model answers. Covers series, divisibility, matrices.
Proof and Mathematical Induction 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 A Level Further Maths Proof and Mathematical Induction
Proof and Mathematical Induction is part of Pure Maths in A Level Further Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.
What you need to know
- Induction Base case, assumption and inductive step.
- Uses Series, divisibility and matrices.
- Conclusion State the full conclusion.
Common mistakes in Proof and Mathematical Induction
- Missing the conclusion.
- Not using the assumption.
Try two Proof and Mathematical Induction exam-style questions
1. What are the two main steps of induction? (2 marks)
Show the mark scheme answer
Show true for n = 1 and that true for n = k implies true for k + 1
2. Prove 3ⁿ − 1 is even: what is 3ᵏ⁺¹ − 1 in terms of 3ᵏ − 1? (1 mark)
Show the mark scheme answer
3(3ᵏ − 1) + 2
Proof and Mathematical Induction FAQs
Which exam boards include Proof and Mathematical Induction?
These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Further Maths.
Is Proof and Mathematical Induction pure, mechanics or statistics?
Proof and Mathematical Induction is part of Pure Maths.
How should I use these Proof and Mathematical Induction questions?
Answer every question without notes, then check each line against the model answers and redo any you got wrong.
