Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
