Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
You can work out the number someone else is thinking of as follows. Ask a friend to think of any natural number less than 100. Then ask them to tell you the remainders when this number is divided by 3, 5 and by 7...
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?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Explore the effect of combining enlargements.
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Can you find the values at the vertices when you know the values on the edges?
