CINEMATH - The Imitation Game

1.       Alan Turing was an English mathematician, computer scientist, logician, and cryptanalyst. At what age did he become a Fellow of King’s College, Cambridge?

• 22

• 23

• 24

• 25

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CCSS.RI.11-12.5

CCSS.RI.9-10.5

CCSS.RI.11-12.3

CCSS.RI.8.3

CCSS.RI.9-10.3

2.       How old was Turing when he managed to break the Enigma code during World War II?

• 30-32 years old

• 29-31 years old

• 33-34 years old

• 27-29 years old

3.       Enigma is the most difficult puzzle in the world. How many rotors and plugboard cables does it have?

• 5 rotors, 10 plugboard cables

• 3 rotors, 9 plugboard cables

• 6 rotors, 11 plugboard cables

• 2 rotors, 7 plugboard cables

4. With 3 rotors, chosen from a set of 5, the total number of initial rotor arrangements is…

• ⁵P₃ = 60

• ⁵C₃ = 10

• 5! x 3! = 720

5.       Each of the 3 rotors can be set to 26 positions, that will be x combinations. What is the value of x?

• 26³ = 17,576

• ²⁶P₃ = 15600

• ²⁶C₃ = 2600

• None of the answers are correct

6.       Overall, the total number of possible configurations for Enigma that are mentioned in this movie is around…

• 1.59x10¹⁴

  ^{(159 million million)}

• 1.59x10⁶

  ^{(1.59 million)}

• 1.59x10²⁰

  ^{(159 million million million)}

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CCSS.8.EE.A.3

7.       What is the probability of guessing the correct settings of the Enigma machine?

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CCSS.HSS.CP.B.9

8.       What is the name of the machine invented by Turing in this movie?

• Hugh

• Christopher

• Clarke

• HMS Carlisle

9.       Turing’s work inspired generations of research into what scientists called “Turing Machines”. Today we call them…

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CCSS.RI.11-12.5

CCSS.RI.9-10.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.5

10.       Breaking Enigma shortened the war by more than…

• 1 year

• 2 years

• 3 years

• 4 years

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CCSS.RI.11-12.5

CCSS.RI.9-10.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.5