SHERLOCK HOLMES MATHS COMPETITION – Episode 3 Solution…

Our congratulations to the Episode 3 winners of our Sherlock Holmes Maths Competition:

VIKY LAWSON & EMMA BRIGHTWELL FROM  GLOUCESTERSHIRE COLLEGE…

…for successfully working out where Holmes and Watson must go next.

AND THE ANSWER IS:

Out of the pan and into the fire. Holmes and Watson make it out of the tunnels OK, only to face their next Bonfire Night challenge... Click to download updated map.

…BOROUGH MARKET!

We’ll be sending the winners a free Sherlock Holmes DVD (the 2009 Guy Ritchie version) and a tin of Cadbury’s heroes.

OUT OF THE PAN AND INTO THE FIRE:

Discover what happens on Wednesday when Holmes and Watson arrive at Borough Market in Episode 4 to face a BONFIRE NIGHT challenge.

Here is the winning solution to Episode 3:

4 diamonds = 1684. To work out 1 diamond, 1684 / 4 = 421

Code 2403 is 3 diamonds and 2 circles. 3 diamonds = 421 x 3 = 1263

2403 – 1263 = 1140.

1140 = 2 circles. To work out 1 circle, 1140 / 2 = 570.

Code for hatch is 1 diamond and 3 circles = 421 + (570 x 3) = 2131

Therefore code for hatch is 2131.

To work out the route of the thief, the probability has been worked out for each potential route:

Fractions have been turned into decimals to make it easier:

Angel Islington – University College: 0.5 x 0.25 = 0.125

Angel Islington – British Museum = 0.5 x 0.05 = 0.025

Angel Islington – House of Lords = 0.5 x 0.7 x 0.07 = 0.024

Angel Islington – Imperial War Museum = 0.5 x 0.7 x 0.5 = 0.175

Angel Islington – Smithfield Meat Market = 0.1

Angel Islington – St Pauls Cathedral = 0.4 x 0.25 = 0.1

Angel Islington – Bank of England = 0.4 x 0.75 x 0.125 = 0.0375

Angel Islington – Borough Market = 0.4 x 0.75 x 0.625 = 0.1875

Angel Islington – Tower of London = 0.4 x 0.75 x 0.25 = 0.075

From this, the route with the most likely outcome is Angel Islington to Borough Market.

So the thief is at Borough Market.

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