Being resourceful

What fraction of the black bar are the other bars? Have a go at this challenging task!

There are lots of different methods to find out what the shapes are worth - how many can you find?

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Use 4 four times in a calculation. What answers can you get?

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

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?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?