Vectors

problem
Favourite

8 Methods for Three by One

Age

14 to 18

Challenge level

This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different? Which do you like best?
problem
Favourite

Square Coordinates

Age

11 to 14

Challenge level

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
game
Favourite

Vector Racer

Age

11 to 16

Challenge level

The classic vector racing game.
problem
Favourite

Spotting the Loophole

Age

14 to 16

Challenge level

A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?
problem
Favourite

Areas of Parallelograms

Age

14 to 16

Challenge level

Can you find the area of a parallelogram defined by two vectors?
problem
Favourite

Vector Walk

Age

14 to 18

Challenge level

Starting with two basic vector steps, which destinations can you reach on a vector walk?
problem
Favourite

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?
game
Favourite

Vector Gem Collector

Age

14 to 18

Challenge level

Use vectors to collect as many gems as you can and bring them safely home!
problem
Favourite

Flexi Quads

Age

16 to 18

Challenge level

A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?
problem
Favourite

Cubestick

Age

16 to 18

Challenge level

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.