Being resilient

problem
Favourite

Cuboids

Age

11 to 14

Challenge level

3 out of 3

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
problem
Favourite

Litov's Mean Value Theorem

Age

11 to 14

Challenge level

3 out of 3

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
$Who \is the \fairest of \them \all ?$

problem
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Who Is the Fairest of Them All?

Age

11 to 14

Challenge level

3 out of 3

Explore the effect of combining enlargements.
problem
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Consecutive Negative Numbers

Age

11 to 14

Challenge level

3 out of 3

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
problem
Favourite

The Greedy Algorithm

Age

11 to 14

Challenge level

3 out of 3

The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
game
Favourite

Diamond Collector

Age

11 to 16

Challenge level

1 out of 3

Collect as many diamonds as you can by drawing three straight lines.
problem
Favourite

What's It Worth?

Age

11 to 16

Challenge level

1 out of 3

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Favourite

Multiple Surprises

Age

11 to 16

Challenge level

1 out of 3

Sequences of multiples keep cropping up...
problem
Favourite

Connecting Averages

Age

11 to 16

Challenge level

1 out of 3

The number in the square is the mean of the four numbers surrounding it. Can you find the missing numbers?
problem
Favourite

Same Length

Age

11 to 16

Challenge level

2 out of 3

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?