"Imagine" the Complexity
i Love Negative Roots
"Add Complexity"
(min 20 seconds)
Multiply Complexity (min 1 minute)
Wild Card (min 1 minute)
100
To find the square root of a negative number
Why did humans create imaginary numbers?
100
10√10 i (Hint: “square me”)
What is the square root of -1,000?
100
(3 + 4i) + (1 – 5i)
What is 4 – i ?
100
(-11 + 7i) * (4 – 9i)
What is 19 + 127i?
100
These are the 10 three-letter human body parts. (each team that gets it correct gets 100 points)
What are toe, jaw, gum, ear, eye, toe, lip, hip, arm, rib
200
For example, electrical engineering and quantum physics
What are subject areas where complex numbers are very useful?
200
5√7 i (Hint: “square me”)
What is the square root of -175?
200
(3 + 4i) - (1 – 5i)
What is 2 + 9i ?
200
(-3 – 2i) / (6 – 6i)
What is (-6 - 30i) / 72 or (-1 – 5i)/12?
200
These are 6 of the 10 most commonly used words in the English language. Each team that gets this correct gets 200 points.
What are the, be, to, of, and, a, in, that, have, I
300
i
What is the square root of -1?
300
i^1107
What is –i?
300
(17 + 5i) - 2(21 + 15i)
What is -25 - 25i?
300
i7 (2 - 3i) * (3 – 5i)
What is (-19 + 9i)?
300
These are 10 of the 14 US cities with teams in each of the 4 major sports (football, baseball, basketball, hockey). Each team that gets this correct gets 300 points.
What are NY, Philadelphia, DC, Boston, Miami, Phoenix, Denver, Minneapolis, Chicago, San Francisco, Detroit, Atlanta, Dallas, Los Angeles?
400
z = a + bi
What is the standard form of a complex number?
400
(a + bi) (a - bi)
What are complex conjugates?
400
(-89 + 16i) + 4(21 – 6i)
What is -5 - 8i?
400
i (2 - i) / (3 – 5i)
What is (-7 + 11i) / 34?
400
This is how many fewer subway stations there are in New York City than the rest of the US combined (outside of New York)? (closest answer gets 400 points)
What is 4.
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