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What's it Worth?

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

Turnips

Baldrick could buy 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips. How many parsnips could he buy?

To Run or Not to Run?

If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?

Shape Sums

Age 11 to 14 Short Challenge Level:


Answer: six


$\Box = 2 \bigtriangleup$, from the first equation.

Then, $\bigcirc = \Box + \bigtriangleup = 2\bigtriangleup + \bigtriangleup = 3\bigtriangleup$.

Then, $\Diamond = \bigcirc + \Box + \bigtriangleup = 3\bigtriangleup + 2\bigtriangleup + \bigtriangleup = 6 \bigtriangleup$.

Therefore, $\Diamond$ is worth $6 \bigtriangleup$.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.