#### You may also like ### 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? ### Fibs

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

# Suit Sequence

##### Age 11 to 14 Short Challenge Level:

The block of six symbols $\heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit$ repeats every six symbols. $100 \div 6 = 16 \text{ r }4$. This means a block will end on the $96^\text{th}$ symbol, so a new one will start on the $97^\text{th}$. The $100^\text{th}$ symbol will therefore be the same as the $4^\text{th}$ and the $101^\text{st}$ will be the same as the $5^\text{th}$.

Therefore these will be $\diamondsuit \:\: \heartsuit$.

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