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MITACS View all math questions
Math Questions
Which 16th Century British mathematician invented the equal sign (=) as we know it today?

Bonaventura Cavalieri

The correct answer is Robert Recorde. In 1557, Robert Recorde proposed the usage of ‘=’ to designate equality.

 

Bonaventura Cavalieri

Danny Ocean

The correct answer is Robert Recorde. In 1557, Robert Recorde proposed the usage of ‘=’ to designate equality.

 

Danny Ocean

Robert Recorde

Correct! In 1557, Robert Recorde proposed the usage of ‘=’ to designate equality. This symbol was used widely throughout England but wasn’t very popular in continental Europe. Most likely it was Isaac Newton and Gottfried Wilhelm von Leibniz that contributed the most to the adoption of the symbol ‘=’

 

Robert Recorde

Sofia Kovalevskaïa

The correct answer is Robert Recorde. In 1557, Robert Recorde proposed the usage of ‘=’ to designate equality.

 

Sofia Kovalevskaïa

 
What are the chances of winning the Lotto 6/49?

1/13 983 816

You're Correct! To win the Lotto 6/49 jackpot, one must correctly select 6 numbers out of 49. The number of possibilities is choosing 6 numbers out of 49 is determined by the following calculation: 49!/(49-6)!6! = 49!/43!6! = 44x45x46x47x48x49/1x2x3x4x5x6 = 13 983 816. There is a one out of 13 983 816 chance of winning the Lotto 6/49.

 

1/13 983 816

1/1 023 245

Wrong! To win the Lotto 6/49 jackpot, one must correctly select 6 numbers out of 49. The number of possibilities is choosing 6 numbers out of 49 is determined by the following calculation: 49!/(49-6)!6! = 49!/43!6! = 44x45x46x47x48x49/1x2x3x4x5x6 = 13 983 816. There is a one out of 13 983 816 chance of winning the Lotto 6/49.

 

1/1 023 245

6/49

Wrong! To win the Lotto 6/49 jackpot, one must correctly select 6 numbers out of 49. The number of possibilities is choosing 6 numbers out of 49 is determined by the following calculation: 49!/(49-6)!6! = 49!/43!6! = 44x45x46x47x48x49/1x2x3x4x5x6 = 13 983 816. There is a one out of 13 983 816 chance of winning the Lotto 6/49.

 

6/49

 
A postal code is formed by the following: a letter, a number, a letter, a number, letter, a number. How many different postal codes is it possible to form with three letters and three numbers?

 

108

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

108

17 576

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

17 576

12 812 904

Wrong. One must determine the number of possibilities in each step. Then the multiplication rule states that one must multiply the number of possibilities of each step: 26 x 10 x 26 x 10 x 26 x 10 = 17 576 000

 

12 812 904

17 576 000

Correct! One must determine the number of possibilities in each step:
Step 1: 26 possibilities (26 letters in the alphabet)
Step 2: 10 possibilities (10 numbers: 1,2,3...9,0)
Step 3: 26 possibilities,
Step 4: 10, Step 5: 26, Step 6: 10
The multiplication rule states that one must multiply the number of possibilities of each step
26x10x26x10x26x10 = 17 576 000

 

17 576 000

 
Metres were created in reference to 1/10,000,000 of the length of the Earth’s arc at sea level between the North Pole and the South Pole. True or False?

 

True

False. The French Academy of Science defined metres as 1/10,000,000 the length of the Earth’s arc at sea level between the North Pole and the Equator, not the South Pole. The Earth’s circumference measures approximately 40,000 Kms long. A quarter of this circumference, which is in fact the arc between the North Pole and the Equator, is about 10,000 Kms long. 1/10,000,000 of 10,000 kms is equal to 0.0001 Kms, or one metre.

 

True

False

You are correct! The French Academy of Science defined metres as 1/10,000,000 the length of the Earth’s arc at sea level between the North Pole and the Equator, not the South Pole. The Earth’s circumference measures approximately 40,000 Kms long. A quarter of this circumference, which is in fact the arc between the North Pole and the Equator, is about 10,000 Kms long. 1/10,000,000 of 10,000 kms is equal to 0.0001 Kms, or one metre.
10,000 km/10,000 000 = 0.001 km
= 0.001 km x 1,000 m/1 km
= 1 m

False


 
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