Being resourceful

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Are these games fair? How can you tell?

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Can you find a way to identify times tables after they have been shifted up or down?