A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
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.
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.
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Engage in a little mathematical detective work to see if you can spot the fakes.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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?
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.
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
Collect as many diamonds as you can by drawing three straight lines.
There are lots of different methods to find out what the shapes are worth - how many can you find?
The clues for this Sudoku are the product of the numbers in adjacent squares.
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
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?
