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Adding Odd Numbers (part 2)
Can you use Proof by Induction to establish what will happen when you add more and more odd numbers?
Sweet Shop
Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.
So It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
Cuboid-In-A-Box
What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?
Cubes Here and There
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
Dice Stairs
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
More and More Buckets
In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?