Creating and manipulating expressions and formulae

How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

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?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

What's special about the area of quadrilaterals drawn in a square?

Where should you start, if you want to finish back where you started?

Play around with the Fibonacci sequence and discover some surprising results!

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

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?

Imagine starting with one yellow cube and covering it all over with a single layer of red cubes, and then covering that cube with a layer of blue cubes. How many red and blue cubes would you need?