Graph sketching

problem
Immersion

Age

14 to 16

Challenge level

Various solids are lowered into a beaker of water. How does the water level rise in each case?
problem
Brimful

Age

16 to 18

Challenge level

Can you find the volumes of the mathematical vessels?
problem
Maths filler 2

Age

14 to 16

Challenge level

Can you draw the height-time chart as this complicated vessel fills with water?
problem
Integration matcher

Age

16 to 18

Challenge level

Can you match the charts of these functions to the charts of their integrals?
problem
Equation matcher

Age

16 to 18

Challenge level

Can you match these equations to these graphs?
problem
Bio graphs

Age

14 to 16

Challenge level

What biological growth processes can you fit to these graphs?
problem
Spot the difference

Age

16 to 18

Challenge level

If you plot these graphs they may look the same, but are they?
problem
Negatively triangular

Age

14 to 16

Challenge level

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
problem
How does your function grow?

Age

16 to 18

Challenge level

Compares the size of functions f(n) for large values of n.
problem
Up and across

Age

11 to 14

Challenge level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.