We usually use squares to measure area, but what if we use triangles instead?
In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Which set of numbers that add to 100 have the largest product?
What do you notice about the sum of two identical triangular numbers?
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
