Not logged in.   Log in
From the people behind the Alan Turing Cryptography Competition.
Home Register FAQ Rules For Teachers News Leaderboard Forum Archive
The Puzzles
1 of 15 points available,
until 29 Mar, 3:59 pm
1 of 15 points available,
until 29 Mar, 3:59 pm
3 of 15 points available,
until 23 Feb, 4:08 pm
3 of 15 points available,
until 23 Feb, 4:31 pm
Due: Wed 27 Feb, 4 pm
Countdown clock:
Due: Wed 13 Mar, 4 pm
Due: Fri 29 Mar, 4 pm

Puzzle 2

At one end of Chorlton high street, Sam runs a fruit shop where you can buy six apples for a pound. At the other end of the high street Hazel runs a shop where the pricing is slightly more unusual. For a price of m pounds, where m is any whole number, Hazel will multiply the number of apples that you have by m. So if you enter Hazel's shop with six apples and pay her three pounds then you can leave her shop with eighteen apples.

You start with fifty pounds and no apples, and are allowed to visit each of the shops as many times as you like and in any order. What is the maximum number of apples that you can buy?

Your answer:
You need to log in first to be able to submit your answer.
MathsBombe Competition 2019 is organised by the The School of Mathematics at the University of Manchester.
© The University of Manchester 2012–2019, All Rights Reserved
Contact us | Privacy notice