How many different number families can you find?
Follow this recipe for sieving numbers and see what interesting patterns emerge.
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
Is there an efficient way to work out how many factors a large number has?
The five digit number A679B, in base ten, is divisible by 72. What are the values of A and B?
Can you work out what step size to take to ensure you visit all the dots on the circle?
Weekly Problem 48 - 2013
What is the remainder when the number 743589 × 301647 is divided by 5?
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
