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