Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Label this plum tree graph to make it totally magic!
Find all the ways of placing the numbers 1 to 9 on a W shape, with
3 numbers on each leg, so that each set of 3 numbers has the same
1 + 3 + 5 + ... + (2n - 1) = n²
Use the diagram to show that any odd number is the difference of
Note that 15 = 8² - 7² as well
as 4² - 1².
Write the number 105 as the difference of two squares in as many
different ways as you can?
The number 1155 can be written as the difference of two squares
in eight different ways, can you find them?