What is the area of the quadrilateral APOQ? Working on the building
blocks will give you some insights that may help you to work it
A decorator can buy pink paint from two manufacturers. What is the
least number he would need of each type in order to produce
different shades of pink.
Is it always possible to combine two paints made up in the ratios
1:x and 1:y and turn them into paint made up in the ratio a:b ? Can
you find an efficent way of doing this?
If a sum invested gains 10% each year how long before it has
doubled its value?
Your school has been left a million pounds in the will of an ex-
pupil. What model of investment and spending would you use in order
to ensure the best return on the money?
My measurements have got all jumbled up! Swap them around and see
if you can find a combination where every measurement is valid.
Here's a chance to work with large numbers...
Two boats travel up and down a lake. Can you picture where they
will cross if you know how fast each boat is travelling?
Can you work out which drink has the stronger flavour?
Have you ever wondered what it would be like to race against Usain Bolt?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
These Olympic quantities have been jumbled up! Can you put them back together again?
A collection of short problems on ratio, proportion and rates of change.