Conjecturing and generalising

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Strange Bank Account

Age

11 to 14

Challenge level

1 out of 3

Imagine a very strange bank account where you are only allowed to do two things...
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Forwards Add Backwards

Age

11 to 14

Challenge level

1 out of 3

What happens when you add a three digit number to its reverse?
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About Average

Age

11 to 14

Challenge level

1 out of 3

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?
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Beach Huts

Age

11 to 14

Challenge level

1 out of 3

Can you figure out how sequences of beach huts are generated?
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Growing Surprises

Age

11 to 14

Challenge level

1 out of 3

Can you find the connections between linear and quadratic patterns?
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Polygon Rings

Age

11 to 14

Challenge level

1 out of 3

Join pentagons together edge to edge. Will they form a ring?
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Same Answer

Age

11 to 14

Challenge level

2 out of 3

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
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More Isometric Areas

Age

11 to 14

Challenge level

2 out of 3

Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...
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Counting Factors

Age

11 to 14

Challenge level

2 out of 3

Is there an efficient way to work out how many factors a large number has?
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Is There a Theorem?

Age

11 to 14

Challenge level

2 out of 3

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?