Cycling squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?