Get started with calculus by exploring the connections between the sign of a curve and the sign of its gradient.
What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
Can you prove our inequality holds for all values of x and y between 0 and 1?
In this short challenge, can you use angle properties in a circle to figure out some trig identities?
Can you make all of these statements about averages true at the same time?
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Consider these questions concerning inverting rational functions
Invent a scoring system for a 'guess the weight' competition.
