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Inscribed Semicircle
problem

Inscribed Semicircle

14 to 16
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Weekly Problem 43 - 2017
The diagram shows a semicircle inscribed in a right angled triangle. What is the radius of the semicircle?
Complex squares
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Complex Squares

16 to 18
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What happens when we square complex numbers? Can the square of a complex number be real?
Snake Coils
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Snake Coils

7 to 11
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This challenge asks you to imagine a snake coiling on itself.
Ordering Journeys
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Ordering Journeys

7 to 11
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How would you put these journey lengths in order?

Finding Fifteen
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Favourite

Finding Fifteen

7 to 11
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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?

Pairs of legs
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Pairs of Legs

5 to 7
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How many legs do each of these creatures have? How many pairs is that?

Tilted Squares
problem
Favourite

Tilted Squares

11 to 14
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It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Meet the Nim Family
article

Meet the Nim family

Jennifer Piggott and the NRICH team introduce Nim-like games to help children think creatively in mathematics.

Mathematics In the Financial Markets
article

Mathematics in the Financial Markets

16 to 18
Financial markets mean the business of trading risk. The article describes in simple terms what is involved in this trading, the work people do and the figures for starting salaries.
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