### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### 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...

### Pyramids

What are the missing numbers in the pyramids?

# Suit Sequence

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

A pattern that repeats every six symbols starts as shown below:  $$\heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \ldots$$ What are the $100^{\text{th}}$ and $101^{\text{st}}$ symbols in the pattern?

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.