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Time of Birth

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

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Square Routes

How many four digit square numbers are composed of even numerals? What four digit square numbers can be reversed and become the square of another number?

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What is the value of the digit A in the sum below: [3(230 + A)]^2 = 49280A

Square Triangle

Age 11 to 14 Short Challenge Level:

How many triangles have three angles that are all perfect squares, when measured in degrees?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



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