Creating and manipulating expressions and formulae

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Can you figure out how sequences of beach huts are generated?

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Is there a temperature at which Celsius and Fahrenheit readings are the same?