If Clara spends £23 on books and magazines, how many of each does she buy?
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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...
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
