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Puzzle a Day

A new puzzle, riddle, game or interesting tidbit posted every day

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The ‘Look-and-Say’ Sequence Puzzle

Today’s puzzle became popularised by famous mathematician John Conway after he was introduced to it by one of his students at a party. The question is: what number comes next in the above sequence? Scroll down for a clue and further down for the answer. * * * * * * * Clue: There is … Continue reading The ‘Look-and-Say’ Sequence Puzzle

The Five-Pointed Star Puzzle

Draw any five-pointed star. What is the sum of the five angles at the points of the star (these are denoted by the red arcs)? Scroll down for a clue and further down for the answer. * * * * * * * Clue: The sum of the interior angles of a pentagon (there is … Continue reading The Five-Pointed Star Puzzle

An Only Connect-Style Puzzle

I came across today’s puzzle on the Only Connect subreddit. It was posted by ‘not-without-text’. What connects the four clues above? Scroll down for a clue and further down for the answer. * * * * * * * Clue: Each ordinal number refers to the letters that precede it. Scroll down for the answer. * … Continue reading An Only Connect-Style Puzzle

A Number And Letter Puzzle All In One

What is the smallest positive integer that has the same number of letters and digits? For example, ‘one hundred’ contains 10 letters and ‘100’ contains 3 digits, so there isn’t a match. Scroll down for a clue and further down for the answer. * * * * * * * Clue: You are after a … Continue reading A Number And Letter Puzzle All In One

A Colourful Magic Square

Your challenge is to place the 11 tiles into the grid so that: Scroll down for a clue and further down for the answer. * * * * * * * Clue: The green 13 goes in the top left corner. Scroll down for the answer. * * * * * * * Answer:

The Wise Man’s Challenge

You encounter a wise man sitting in a cave. In front of him are two coins: a 5-cent coin and a large gold coin worth $10,000. He offers you a challenge: What statement can you make to guarantee that you win the $10,000 gold coin? Scroll down for a clue and further down for the … Continue reading The Wise Man’s Challenge

Phrasal Anagrams

A phrasal anagram is a two-word phrase in which the two words are anagrams of each another. An example of a phrasal anagram is ‘CHEAP PEACH’. For today’s puzzle, I’m going to present the first word of eight phrasal anagrams and your challenge is to determine the second word. How many can you work out? … Continue reading Phrasal Anagrams

Three Rebus Puzzles

Can you solve these three rebus puzzles? The numbers in the brackets indicate how many letters are in each word of the answer. 1. (1, 5, 2, 6) 2. (4, 2, 4) 3. (2, 2, 1, 5, 5, 5, 3) Scroll down for a clue and further down for the answer. * * * * … Continue reading Three Rebus Puzzles

A Challenging Card Puzzle

Imagine that you have two packs of playing cards in front of you. Each pack contains the usual 52 cards, and each pack has been shuffled on its own. Starting from the top, you flip over one card from each deck simultaneously, repeating until all 52 pairs have been revealed. What is the probability that … Continue reading A Challenging Card Puzzle

A Handshake Puzzle

You are at a party with 25 other people. The people at the party are mingling and shaking hands randomly. You don’t know the total number of handshakes, and not everyone necessarily shakes hands at all or with everyone else. The party ends and you ponder the question: Can you be certain that at least … Continue reading A Handshake Puzzle