Exploring and noticing

Can you find the values at the vertices when you know the values on the edges?

Can you work out what step size to take to ensure you visit all the dots on the circle?

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

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.

Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?

Weekly Problem 24 - 2012
Can you put these very close fractions into order?

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.