Alquerque
Pumpkin patch
Seega
Introducing NRICH TWILGO
Air nets
Ding dong bell
Triangles in the middle
The bridges of Konigsberg
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
Yih or Luk tsut k'i or Three Men's Morris
Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and knot arithmetic.
Instant insanity
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
When the angles of a triangle don't add up to 180 degrees
Vector journeys
Summing geometric progressions
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Vector walk
What's that graph?
Can you work out which processes are represented by the graphs?
Iff
Tetra square
Always perfect
3D treasure hunt
Some treasure has been hidden in a three-dimensional grid! Can you work out a strategy to find it as efficiently as possible?
Back fitter
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?
A rolling disc - periodic motion
Mach attack
Painting by numbers
Set square
Wrapping gifts
Stonehenge
Escriptions
Middle man
Trig reps
Classic cube
Whose line graph is it anyway?
Which line graph, equations and physical processes go together?
Maths shop window
Circles ad infinitum
Areas and ratios
Five circuits, seven spins
Hyperbolic thinking
Curvy equation
This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.
Maximum scattering
Ford circles
Can you find the link between these beautiful circle patterns and Farey Sequences?