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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Paving Paths

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

Even Up

Age 11 to 14 Short Challenge Level:
Consider all of the five-digit numbers which we can form using only the digits 2, 4, 6 and 8.
If these numbers are arranged in ascending order, what is the 512th number?

You can find more short problems, arranged by curriculum topic, in our short problems collection.