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A bag contains 12 marbles. There are more red than green but green and blue together exceed the reds. The total of yellow and green marbles is more than the total of red and blue. How many of each colour there are in the bag?

What's it Worth?

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


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

Multiplication Mistake

Age 11 to 14 Short Challenge Level:

Jane made a mistake when writing down a multiplication, and she multiplied by 54 instead of 45.

Her answer was 198 more than it should have been.

What number did she multiply 54 by?

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.