problem
Implicitly
Age
16 to 18
Challenge level
Can you find the maximum value of the curve defined by this
expression?
problem
Integration matcher
Age
16 to 18
Challenge level
Can you match the charts of these functions to the charts of their integrals?
problem
Brimful 2
Age
16 to 18
Challenge level
Which of these infinitely deep vessels will eventually full up?
problem
Calculus countdown
Age
16 to 18
Challenge level
Can you hit the target functions using a set of input functions and a little calculus and algebra?
problem
Trig trig trig
Age
16 to 18
Challenge level
Can you make sense of this combination of trig functions?
problem
Gradient match
Age
16 to 18
Challenge level
What can you deduce about the gradients of curves linking (0,0), (8,8) and (4,6)?
problem
Turning to calculus
Age
16 to 18
Challenge level
Get started with calculus by exploring the connections between the
sign of a curve and the sign of its gradient.
problem
Calculus analogies
Age
16 to 18
Challenge level
Consider these analogies for helping to understand key concepts in
calculus.
problem
The sign of the times
Age
16 to 18
Challenge level
Can you make sense of this relationship between function and derivative?
problem
Patterns of inflection
Age
16 to 18
Challenge level
Find the relationship between the locations of points of inflection, maxima and minima of functions.
problem
Curve hunter
Age
14 to 18
Challenge level
This problem challenges you to sketch curves with different properties.
problem
Mind your Ps and Qs
Age
16 to 18
Challenge level
Sort these mathematical propositions into a series of 8 correct statements.