List

Problems with Many Solution Methods

Marbles in a box
problem
Favourite

Marbles in a box

Age
11 to 16
Challenge level
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How many winning lines can you make in a three-dimensional version of noughts and crosses?
Steel Cables
problem
Favourite

Steel Cables

Age
14 to 16
Challenge level
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Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
How old am I?
problem
Favourite

How old am I?

Age
14 to 16
Challenge level
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In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Kite in a Square
problem
Favourite

Kite in a Square

Age
14 to 18
Challenge level
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Can you make sense of the three methods to work out what fraction of the total area is shaded?