problem
Growing rectangles
Age
11 to 14
Challenge level
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
problem
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
Finding factors
Age
14 to 16
Challenge level
Can you find the hidden factors which multiply together to produce each quadratic expression?
problem
CD Heaven
Age
14 to 16
Challenge level
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
problem
Matchless
Age
14 to 16
Challenge level
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
problem
LCM Sudoku
Age
14 to 16
Challenge level
Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.
problem
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
Training schedule
Age
14 to 16
Challenge level
The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?