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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

Parabolic Patterns

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

More Parabolic Patterns

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

Mathsjam Jars

Age 14 to 16 Challenge Level:
Does it help to work out the cross sectional area of each letter?

Can you picture how full each letter would be if one cubic centimetre of jam was poured in? What about two cubic centimetres?