A Level Maths

A Level Maths Exponentials and Logarithms Exam Questions

Free A Level Maths exam questions on Exponentials and Logarithms, with full model answers. Covers exponential functions, laws of logarithms, exponential equations, log-linear graphs, growth/decay.

Exponentials and Logarithms 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 Maths Exponentials and Logarithms

Exponentials and Logarithms is part of Pure Maths in A Level Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International, CCEA and OxfordAQA International A Level 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

  • Log laws log a + log b = log ab; log aⁿ = n log a.
  • Exponential equations Take logs of both sides.
  • Modelling y = Aeᵏᵗ and log-linear graphs.

Common mistakes in Exponentials and Logarithms

  • Writing log(a + b) = log a + log b.
  • Sign errors with decay.

Try two Exponentials and Logarithms exam-style questions

1. Solve 3ˣ = 20 to 3 s.f. (2 marks)

Show the mark scheme answer

x = 2.73

2. Write 2 log 3 + log 4 as a single log. (2 marks)

Show the mark scheme answer

log 36

Exponentials and Logarithms FAQs

Which exam boards include Exponentials and Logarithms?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International, CCEA and OxfordAQA International A Level Maths.

Is Exponentials and Logarithms pure, mechanics or statistics?

Exponentials and Logarithms is part of Pure Maths.

How should I use these Exponentials and Logarithms questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.