The recent BrainBashers annual marathon has just taken place. The judges have given up keeping a track of who won, as the results go missing each year. Using the following spectators' notes, can you determine who finished where?
Terry Tipton finished after Lisa Limperton and Betty Brent, but before Michael Miller.
Paul Peterson finished before David Dartford and Lisa Limperton.
Simone Stevens finished after Paul Peterson and before Jane Jacks and Helen Hall.
Kenny Kirkpatrick finished after Paul Peterson, Michael Miller and Terry Tipton.
Lisa Limperton finished after Betty Brent and David Dartford, but before Jane Jacks and Michael Miller.
Michael Miller finished after Simone Stevens and Betty Brent.
Betty Brent finished before Jane Jacks, Michael Miller and Paul Peterson.
David Dartford finished before Kenny Kirkpatrick and Terry Tipton, but after Simone Stevens.
Jane Jacks finished before Kenny Kirkpatrick, Terry Tipton and Michael Miller, but after Paul Peterson and David Dartford.
Helen Hall finished before Michael Miller but after Lisa Limperton, Jane Jacks and Terry Tipton.
The other day I was sitting in my local tavern, The Spyglass, which overlooks the sea, when in sailed my old friend the pirate Captain Conan Drum. "Well, shiver me barnacles!" he roared on seeing me. He too is a bit of a puzzle addict and so, after joining me for a glass of milk and telling me about his latest exploits on the high seas, he couldn't resist showing me his latest conundrum.
He reached into one of his jacket pockets and produced seven gleaming £5 coins, which he then proceeded to arrange on the table in front of me exactly as shown below. "Now, me lad." he said, with a mischievous look in his eyes. "I'll wager you'll not be able to solve this one. Take away two coins from this here arrangement to leave five coins across and three coins going down."
It was clear the wily old sea dog still had one or two tricks up his sleeve, as I couldn't for the life of me see how it could be done. Can you see through his skulduggery and solve it?
Take away the two coins on the right end of the row of five coins to leave 'five coins, a cross and three coins going down'.
I fell into his trap and misinterpreted what he was actually asking me to do!
The surface area of a spherical balloon measured in square inches is the same as its volume, measured in cubic inches. What is the diameter of the balloon?
Hint: The volume of a sphere is (4/3) * Pi * (r^3).
Answer: 6 inches. The surface area of a sphere, of radius r, is 4 * Pi * (r ^ 2) and the volume is (4/3) * Pi * (r^3). Putting these equal and cancelling gives r = 3, which means the diameter is 6 inches.