game
Favourite
Vector gem collector
Use vectors to collect as many gems as you can and bring them safely home!
Vectors
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?
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
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?
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.
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
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
Vector walk
Age
14 to 18
Challenge level
Starting with two basic vector steps, which destinations can you reach on a vector walk?