There are a collection of 23 maths-based puzzles appearing at a rate of one-per-weekday through August over at the Isaac Newton Institute. Their website explains “They won’t require sophisticated maths to solve, but equally they won’t be easy. Discussing your ideas might help.”

For example, here is the teaser puzzle, £8.19:

Two players play a game.

• They each start with an unlimited number of coins of denominations: 1p, 5p, 10p, 20p, 50p and 100p.
• They take it in turns putting coins into a pot one at a time.
• The winner is the person who places the final coin into the pot reaching the target total of £8.19.
• A player automatically loses if they exceed the target total.

Given that they are both perfect logicians and strategists, who wins?

Answers will be revealed at the end of the month, and you are invited to submit your answers for a chance to be named as a person or group who submitted one of the first few correct answers.

At the time of writing, there are 6 puzzles still to be revealed, and 17 puzzles are live. Check out the Summer Maths Puzzles website, or search Twitter, Facebook or Instagram for #SummerMathsPuzzles.

Happy puzzling!