You can use this workout to practise your further mathematical
skills; the sort of skills which will be critical in a mathematics,
physics or engineering degree and, of course, further mathematics
courses. This will be very useful both whilst at school and when
you move on to higher study, where a high degree of algebraic
fluency is really useful.
Here are some hints and tips to improve your
- Don't be tempted to look at the answer if you think that you
can do the question unless you have actually done the question, on
paper with a pen.
- Try not to use your calculator for the simple arithmetical
parts of a question - this is a bad habit to get into.
- If you are stuck, don't give up immediately. Think about the
problem. Perhaps look at one or two answers and ask: how does this
- Accuracy is important, but speed is also important. This
workbook is good for speed training.
- If your answer differs from the answer given then think: is my
answer wrong, or is it merely represented in a different form?
- Use your skills in some interesting rich mathematical problems
from NRICH. You might want to look at the core
mathematics curriculum document for suggestions or just browse
the stage 5 content on the site.
- Keep a record of your best times. See how quickly you can
complete one of each question type from each section.
- Compare your solution methods with someone else. Are they the
same? Is one better?
You can also practice the activities in the Interactive Workout -
, which contains preparatory exercises for this