What was the inventor's request to the king in the legend of chess?

Chessboard Grains and Mathematical Proofs

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Grains of wheat on a chessboard
A palace made of gold
A kingdom of his own
A lifetime supply of food
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many grains of wheat were placed on the second square of the chessboard?
Four
Eight
Two
One
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to represent the doubling pattern of grains?
Powers of two
Addition
Subtraction
Multiplication
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the sum of grains on the chessboard?
2^63 + 1
2^64 + 1
2^63 - 1
2^64 - 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What did the king do when he realized the inventor's trick?
Made him a royal advisor
Rewarded him with more grains
Gave him a kingdom
Ordered him to be killed
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What simple mathematical trick is used to derive the formula for the sum of grains?
Adding and multiplying
Multiplying and adding
Doubling and subtracting
Dividing and subtracting
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you subtract the original amount from the doubled amount in the series?
The series becomes infinite
All terms cancel out except the first and last
The series becomes zero
You get a negative number
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of the mathematical proof presented in the video?
2^63 - 1
2^64 + 1
2^63 + 1
2^64 - 1
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