A square patio was tiled with square tiles all the same size. Some
of the tiles were removed from the middle of the patio in order to
make a square flower bed, but the number of the remaining tiles was
still a square number. What were the dimensions of the patio and
the flower bed?
A woman was born in a year that was a square number, lived a square
number of years and died in a year that was also a square number.
When was she born?
In how many ways can a pound (value 100 pence) be changed into some combination of 1, 2, 5, 10, 20 and 50 pence coins?
A millilitre is one cubic centimetre.
Check that you can calculate the volume of a cylinder.
If the diameter is 6 cm, you can calculate the base area of the
If you know the base area you can find a height which will give
you a specific volume ( 330 ml in this case)
Now start with a height (10 cm) and work your way back to a base
area for a specified volume, then find a radius for that base area,
and hence a diameter for the can.
What does least aluminium require ?
The top and base of the can are circles but how do you calculate
the curved surface area ?