problem
Favourite
What does random look like?
Age
11 to 14
Challenge level
Engage in a little mathematical detective work to see if you can spot the fakes.
problem
Favourite
Generating Triples
Age
14 to 16
Challenge level
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
game
Favourite
Diamond Collector
Collect as many diamonds as you can by drawing three straight lines.
problem
Favourite
What's it worth?
Age
11 to 16
Challenge level
There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Favourite
Cinema Problem
Age
11 to 14
Challenge level
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
problem
Favourite
How far does it move?
Age
11 to 14
Challenge level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.
problem
Favourite
Reflecting Lines
Age
11 to 14
Challenge level
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
problem
Favourite
Translating Lines
Age
11 to 14
Challenge level
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
findings.
problem
Favourite
Tower of Hanoi
Age
11 to 14
Challenge level
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
problem
Favourite
Fill Me Up
Age
11 to 14
Challenge level
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
problem
Favourite
What numbers can we make now?
Age
11 to 14
Challenge level
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
problem
Favourite
Product Sudoku
Age
11 to 16
Challenge level
The clues for this Sudoku are the product of the numbers in adjacent squares.
problem
Favourite
How Many Miles To Go?
Age
11 to 14
Challenge level
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
problem
Favourite
Ben's Game
Age
11 to 16
Challenge level
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
problem
Favourite
Efficient cutting
Age
11 to 14
Challenge level
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.