The Independent Mind Olympics

With today's questions, our Mind Olympics come to an end. Remember, a set of correct answers to any single day's questions will qualify you for entry to the weekly draw from which one entrant will win pounds 100 worth of Waterstone's book vouchers. At the very end, all correct entries will go back into the hat for another chance to win the grand prize of a 21- volume Macmillan Family Encyclopaedia (worth pounds 525).

Questions set by Maslanka.

Illustration: Mike Harrington.

1 Show how an equilateral triangular biscuit can be cut by three straight sabre slashes into:

a) 4 identical pieces each with 3 sides; b) 3 identical pieces each having 4 sides; c) 3 identical pieces with 3 sides; d) 6 identical pieces with 3 sides each.

(Of course, you may only cut downwards in the vertical plane at right angles to the biscuit's surface.)

2 A fly walks across the top face of the biscuit starting at one edge (not a corner) and crossing to another. Not only that, but her path is the shortest that exactly bisects the area of the biscuit. Sketch her path.

3 Ten per cent of the inhabitants of Cacti Creek drink vodka, 20 per cent drink gin and 40 per cent drink beer. Two toughies drink all three but no-one drinks just two of these drinks. There are 61 characters so tough that they can stand up to social pressure and drink nothing at all. How many live in Cacti Creek?

4 The assistant at Gullible Gulch's General Stores has bored holes through an array of indutrial sized sugar cubes, removing a whole number of cubes to leave the same cross-shaped hole running through the cube, no matter which of the six faces you look at. What is the smallest number of cubes he could have removed?

5. R wl slkv blf szev vmqlbvw gsv Rmwvkvmwvmg Nrmw Lobnkrxh. Ru blf szev, kovzhv dirgv zg gsv vmw lu blfi zmhdvih: "R szev vmqlbvw gsv Rmwvkvmwvmg Nrmw Lobnkrxh". Yfg mlg rm xlwv, lu xlfihv! - Nzhozmpz

When you have solved all five puzzles, send the answers to: Mind Olympics (Final Day), the Independent, 1 Canada Square, Canary Wharf, London E14 5DL to arrive not later than 16 August.

Books for independent individuals at

Waterstone's

"Don't look back. Something may be gaining on you." Satchel Paige, baseball pitcher.

News
people'It can last and it's terrifying'
News
people Emma Watson addresses celebrity nude photo leak
Arts and Entertainment
tv
News
Katie Hopkins appearing on 'This Morning' after she purposefully put on 4 stone.
peopleKatie Hopkins breaks down in tears over weight gain challenge
PROMOTED VIDEO
Life and Style
fashionModel of the moment shoots for first time with catwalk veteran
Sport
Alexis Sanchez, Radamel Falcao, Diego Costa and Mario Balotelli
football
Sport
Danny Welbeck's Manchester United future is in doubt
footballGunners confirm signing from Manchester United
News
i100
Arts and Entertainment
Olivia Colman topped the list of the 30 most influential females in broadcasting
tv
Life and Style
techIf those brochure kitchens look a little too perfect to be true, well, that’s probably because they are
Life and Style
tech
News
Kelly Brook
peopleA spokesperson said the support group was 'extremely disappointed'
Sport
Andy Murray celebrates a shot while playing Jo-Wilfried Tsonga
TennisWin sets up blockbuster US Open quarter-final against Djokovic
Arts and Entertainment
Hare’s a riddle: Kit Williams with the treasure linked to Masquerade
booksRiddling trilogy could net you $3m
Arts and Entertainment
Alex Kapranos of Franz Ferdinand performs live
music Pro-independence show to take place four days before vote
Latest stories from i100
Have you tried new the Independent Digital Edition apps?

Day In a Page

'I’ll tell you what I would not serve - lamb and potatoes': US ambassador hits out at stodgy British food served at diplomatic dinners

'I’ll tell you what I would not serve - lamb and potatoes'

US ambassador hits out at stodgy British food
Radio Times female powerlist: A 'revolution' in TV gender roles

A 'revolution' in TV gender roles

Inside the Radio Times female powerlist
Endgame: James Frey's literary treasure hunt

James Frey's literary treasure hunt

Riddling trilogy could net you $3m
Fitbit: Because the tingle feels so good

Fitbit: Because the tingle feels so good

What David Sedaris learnt about the world from his fitness tracker
Saudis risk new Muslim division with proposal to move Mohamed’s tomb

Saudis risk new Muslim division with proposal to move Mohamed’s tomb

Second-holiest site in Islam attracts millions of pilgrims each year
Alexander Fury: The designer names to look for at fashion week this season

The big names to look for this fashion week

This week, designers begin to show their spring 2015 collections in New York
Will Self: 'I like Orwell's writing as much as the next talented mediocrity'

'I like Orwell's writing as much as the next talented mediocrity'

Will Self takes aim at Orwell's rules for writing plain English
Meet Afghanistan's middle-class paint-ballers

Meet Afghanistan's middle-class paint-ballers

Toy guns proving a popular diversion in a country flooded with the real thing
Al Pacino wows Venice

Al Pacino wows Venice

Ham among the brilliance as actor premieres two films at festival
Neil Lawson Baker interview: ‘I’ve gained so much from art. It’s only right to give something back’.

Neil Lawson Baker interview

‘I’ve gained so much from art. It’s only right to give something back’.
The other Mugabe who is lining up for the Zimbabwean presidency

The other Mugabe who is lining up for the Zimbabwean presidency

Wife of President Robert Mugabe appears to have her sights set on succeeding her husband
The model of a gadget launch: Cultivate an atmosphere of mystery and excitement to sell stuff people didn't realise they needed

The model for a gadget launch

Cultivate an atmosphere of mystery and excitement to sell stuff people didn't realise they needed
Alice Roberts: She's done pretty well, for a boffin without a beard

She's done pretty well, for a boffin without a beard

Alice Roberts talks about her new book on evolution - and why her early TV work drew flak from (mostly male) colleagues
Get well soon, Joan Rivers - an inspiration, whether she likes it or not

Get well soon, Joan Rivers

She is awful. But she's also wonderful, not in spite of but because of the fact she's forever saying appalling things, argues Ellen E Jones
Doctor Who Into the Dalek review: A classic sci-fi adventure with all the spectacle of a blockbuster

A fresh take on an old foe

Doctor Who Into the Dalek more than compensated for last week's nonsensical offering