Math

Question 1

Area of circle

Answer 1

A = π * r²

A = (π/4) × d²

Question 2

Circumference of Circle

Answer 2

π * d

π * 2r

Question 3

Exponent property of zero

Answer 3

b⁰ = 1

Question 4

Exponent property of negatives

Answer 4

b^-n = 1/bⁿ

Question 5

Exponent product property

Answer 5

(a^m)(aⁿ) = a^m+n

Question 6

Power of a power

Answer 6

(a^m)ⁿ = a^mn

Question 7

Power of a quotient

Answer 7

(a/b)^m = a^m/aⁿ

Question 8

Find 30-60-90 triangle sides

Answer 8

Question 9

Divisible by 3

Answer 9

Digits add up to multiple of 3

Question 10

Divisible by 4

Answer 10

Last two digits are divisible by 4

Question 11

Divisible by 6

Answer 11

It’s even and its digits add up to multiple of e

Question 12

Divisible by 8

Answer 12

Last three digits are divisible by 8

Question 13

Divisible by 9

Answer 13

Digits add up to a multiple of 9

Question 14

Is 1 prime?

Answer 14

No

Question 15

Integers between 1 and 100 inclusive?

Answer 15

50/half

Question 16

Integers divisible by 5 from 1 to 100 exclusive?

Answer 16

19 (“exclusive”)

Question 17

n Choose r formula

Answer 17

nCr = first r values of n! / r!

Question 18

Symmetry law for n Choose r

Answer 18

n Choose r = n Choose (n - r)

Question 19

Standard Deviation

Answer 19

How much the numbers in a set differ from the mean of that set.

Question 20

Square of Sum and Square of Difference

Answer 20

(p + q)² = p² + 2pq + q²

(p - q)² = p² - 2pq + q²

Question 21

Difference of Squares Pattern

Answer 21

a² - b² = (a + b)(a - b)

Question 22

Triangle Inequality

Answer 22

Sum of any two sides of a triangle must be greater than the third side

Question 23

Number of ints between inclusive

Answer 23

y - x + 1

Question 24

P(A or B)

Answer 24

P(A) + P(B) - P(A + B)

Question 25

P(A and B)

Answer 25

P(A) + P(B) - P(A or B)

Question 26

P(at least 1 success)

Answer 26

P(at least 1 success ) = 1 − P(all failures)

Question 27

P(at least 1 failure)

Answer 27

P(at least 1 failure) = 1 − P(all successes)

Question 28

Line segment distance formula

Answer 28

d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

Question 29

Area of Equilateral Triangle

Answer 29

A = sqrt(3)/4 x side²

Question 30

Surface area of cube

Answer 30

6 \* side²