Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Have You Got It?

Can you explain the strategy for winning this game with any target?

Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

Filling Morecambe Bay

Age 11 to 14 Short Challenge Level:

A notice on Morecambe Promenade reads: "It would take $20$ million years to fill Morecambe Bay from a bath tap." Assuming that the flow from a bath tap is $6$ litres per minute, what is the approximate capacity of Morecambe Bay, in litres?

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.