Mathematics set 1

Question 1

What is a way to describe Math?

Answer 1

Math describes relationships between numbers and other measurable quantities.

Question 2

Math is the language of…

Answer 2

math is the language of science

Question 3

Why do you need to understand math?

Answer 3

You need to understand math to be able to really understand science.

Question 4

What is at the heart of all science?

Answer 4

At the heart of all science is the testing of some theory, done with a language all scientists can understand: Math

Question 5

How does math bridge cultural differences?

Answer 5

Math is the same no matter what verbal language you speak, so you can do the same math no matter where you are from.

Question 6

What is combinatorics?

Answer 6

Combinatorics is understanding how things can be arranged.

Question 7

What is probability?

Answer 7

Probability is predicting what might happen.

Question 8

What is encryption?

Answer 8

Encryption is keeping data safe.

Question 9

Describe the branch of math called combinatorics.

Answer 9

Combinatorics counts the number of ways we can arrange objects into sets and subsets.

Question 10

What is the multiplication principle?

Answer 10

The multiplication principle is all about counting different ways that things can be combined without worrying about the order they are in.

Question 11

If a deli has 4 sandwiches, five soups, what are the total number of combinations of lunch you could have?

Answer 11

5x4=20

Question 12

If a deli has 4 sandwiches, five soups, and 7 drink options what are the total number of combinations of lunch you could have?

Answer 12

5x4x7=140

Question 13

If a lock has three dials, with ten numbers each, how many possible combinations will there be?

Answer 13

10x10x10=1000

Question 14

How many license plates can you make with three letters at the start and three numbers from 0-9? eg. ABC123

Answer 14

23x23x23 = number of letters multiply by 10x10x10 = number of number options, total = 12167000

Question 15

If you have five shirts and want to wear a different one each day, how many different ways can you plan your wardrobe?

Answer 15

5x4x3x2x1 = 120 possible ways

Question 16

Why is the shirt problem not 5x5x5x5x5

Answer 16

because each day you have worn a shirt and don’t want to wear it again, so your choices are now down to 4 shirts on Tuesday, 3 shirts on Wed etc.

Question 17

What does 9 factorial mean?

Answer 17

9x8x7x6x5x4x3x2x1 = 9 factorial

Question 18

What would the chances of getting lotto 6 49? You have to get 6 numbers in a 1-49 sequence.

Answer 18

49 factorial x 6…. very big number

Question 19

What does probability mean?

Answer 19

Probability means chance of something happening.

Question 20

What is the probability of a coin landing on one side or the other?

Answer 20

one in two or ½

Question 21

What must a probability always add to?

Answer 21

probability must always add to 1 ie ½ + ½ = 1

Question 22

Why do you probabilities not always match what they would be expected to be?

Answer 22

Because to get the exact probability you would have to flip the coin thousands of times.

Question 23

What is combining probabilities?

Answer 23

Combining probabilities means that you use combinatorics and probabilities at the same time.

Question 24

What is the probability of getting a heads two times in a row?

Answer 24

½ x ½ = ¼

Question 25

A farmer breeds a white cow and a black cow. The baby cows (calves) have an equal chance of being all white, all black, or head black/body white, or body black and head white. What is the probability that the calf will be all black.

Answer 25

¼

Question 26

A farmer breeds a white cow and a black cow. The baby cows (calves) have an equal chance of being all white, all black, or head black/body white, or body black and head white.What is the probability that three calves in a row will be all white?

Answer 26

1/4x1/4x1/4= 1/64

Question 27

In a group of five friends, what is the probability that you share the same birthday?

Answer 27

365/365 x 364/365 x 363/365 x 362/365 x 361/365=