Consecutive Numbers

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

Calendar Capers

Choose any three by three square of dates on a calendar page...

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...

Peri the Winkle

Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

Peri the winkle starts at the origin and slithers anticlockwise around a semicircle with centre $(4,0)$. Peri then slides anticlockwise around a second semicircle with centre $(6,0)$, and finally clockwise around a third semicircle with centre $(3,0)$.

Where does Peri end this expedition?

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

This problem is taken from the UKMT Mathematical Challenges.