List

Extension Visualising and Representing

Triathlon and Fitness
problem
Favourite

Triathlon and fitness

Age
11 to 14
Challenge level
filled star filled star empty star
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Vector walk
problem
Favourite

Vector walk

Age
14 to 18
Challenge level
filled star empty star empty star
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Summing geometric progressions
problem
Favourite

Summing geometric progressions

Age
14 to 18
Challenge level
filled star empty star empty star

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Iff
problem
Favourite

Iff

Age
14 to 18
Challenge level
filled star filled star empty star
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
Always Perfect
problem
Favourite

Always perfect

Age
14 to 18
Challenge level
filled star filled star empty star
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Perfectly Square
problem
Favourite

Perfectly square

Age
14 to 16
Challenge level
filled star filled star empty star
The sums of the squares of three related numbers is also a perfect square - can you explain why?
Back fitter
problem
Favourite

Back fitter

Age
14 to 18
Challenge level
filled star filled star empty star

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

What's that graph?
problem
Favourite

What's that graph?

Age
14 to 18
Challenge level
filled star filled star empty star

Can you work out which processes are represented by the graphs?

Bendy Quad
problem
Favourite

Bendy quad

Age
14 to 16
Challenge level
filled star filled star filled star
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.