Being resourceful

Can you hit the target functions using a set of input functions and a little calculus and algebra?

Can you use numerical methods to solve this equation to 1 decimal place?

Observe symmetries and engage the power of substitution to solve complicated equations.

An arithmetic progression is shifted and shortened, but its sum remains the same...

Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.

The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.