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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Use the clues about the symmetrical properties of these letters to place them on the grid.

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

Imagine you were given the chance to win some money... and imagine you had nothing to lose...