Exploring and Noticing Structure - Advanced

Simply Graphs

Age 16 to 18
Challenge Level

Look for the common features in these graphs. Which graphs belong together?

Polite Numberslive

Age 16 to 18
Challenge Level

A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?

Road Maker

Age 14 to 18
Challenge Level

Which of these roads will satisfy a Munchkin builder?

Impossible Triangles?

Age 16 to 18
Challenge Level

Which of these triangular jigsaws are impossible to finish?

Fix Me or Crush Me

Age 16 to 18
Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Vector Journeys

Age 14 to 18
Challenge Level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?