Follow this recipe for sieving numbers and see what interesting patterns emerge.
Can you work out what step size to take to ensure you visit all the dots on the circle?
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Use properties of numbers to work out whether you can satisfy all these statements at the same time.
Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
