Block 3: Partial Fractions Exponentials, Logarithms

This block includes partial fractions which are used frequently in science and engineering to break down complicated algebraic fractions into simpler fractions. The block also focuses on the concept of powers and indices and extends it to the constant, e, and to logarithms.

See how many of the questions you can answer without having to look up how to do them. You will need a calculator for some of this work.

Download questions

Self-evaluation

How did you get on with the questions?

You can check your answers here with the worked solutions.

If you could confidently solve all the questions, you are ready for the topic of the next block
If you had some issues with the questions, use the HELM workbooks below to revise the topics

HELM workbooks

You might like to do some extra practice. Use the HELM workbooks and interactive questions below to do as much practice as you like. Use your lboro login details and enrol with key 'HELM2020' to access the interactive questions.

HELM workbook 3 - Equations, inequalities and partial fractions - including section:

HEML workbook 6 - Exponential and logarithmic functions - including sections:

Additional resources

Solving exponential & logarithmic equations

Engineering First Aid Kit Leaflets

Interactive Questions from MathsE.G.

developed by Martin Greenhow and Abdul Rahman Kamavi at the Department of Mathematical Sciences, Brunel University, UK and released under a CC Licence