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
Factorising with multilink
Age
14 to 16
Challenge level
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
problem
Favourite
Double trouble
Age
14 to 16
Challenge level
Simple additions can lead to intriguing results...
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
Which is bigger?
Age
14 to 16
Challenge level
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
problem
Favourite
Square number surprises
Age
14 to 16
Challenge level
There are unexpected discoveries to be made about square numbers...
problem
Favourite
Picture story
Age
14 to 16
Challenge level
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
problem
Favourite
Three cubes
Age
14 to 16
Challenge level
Can you work out the dimensions of the three cubes?
problem
Favourite
Doesn't add up
Age
14 to 16
Challenge level
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
problem
Favourite
The spider and the fly
Age
14 to 16
Challenge level
A spider is sitting in the middle of one of the smallest walls in a
room and a fly is resting beside the window. What is the shortest
distance the spider would have to crawl to catch the fly?
problem
Favourite
A question of scale
Age
14 to 16
Challenge level
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
problem
Favourite
Partly painted cube
Age
14 to 16
Challenge level
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
problem
Favourite
Dating made easier
Age
14 to 16
Challenge level
If a sum invested gains 10% each year how long before it has
doubled its value?
problem
Favourite
Areas and ratios
Age
16 to 18
Challenge level
Do you have enough information to work out the area of the shaded quadrilateral?