Math Reference

Question 1

PEMDAS

Answer 1

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Question 2

PERCENT FORMULA

Answer 2

Part = Percent x Whole

Question 3

AVERAGE/MEAN

Answer 3

Average = (sum of terms/# of terms)

Question 4

MEDIAN

Answer 4

Put numbers in numerical order and take the middle number

Question 5

MODE

Answer 5

Number that appears most often

Question 6

RANGE

Answer 6

Positive difference between greatest and least value

Question 7

RATIO

Answer 7

Ratio = of/to

Question 8

PROBABILITY

Answer 8

= # of desired outcome/# possible outcomes

Question 9

COMMON POLYNOMIALS

Answer 9

AB + AC = A(B + C)
A^2 + 2AB + B^2 = (A + B)^2
A^2 - 2AB + B^2 = (A - B)^2
A^2 - B^2 = (A - B)(A + B)

Question 10

AREA OF A TRIANGLE

Answer 10

AREA = 1/2 (BASE)(HEIGHT)

Question 11

SPECIAL RIGHT TRIANGLES

Answer 11

3:4:5
5:12:13
30-60-90
45-45-90

Question 12

CIRCLE

Answer 12

Circumference = 2(pi)(radius)
= (pi)(diameter)

Area = (pi)(radius^2)

Question 13

SLOPE

Answer 13

SLOPE = RISE/RUN

= CHANGE IN X / CHANGE IN Y

Question 14

PERMUTATION FORMULA

Answer 14

nPk = n! / (n - k)!

n = # in the larger group
k = # you're arranging

Question 15

COMBINATION FORMULA

Answer 15

nCk = n! / k! (n - k)!

n = # in the larger group
k = # you're choosing

Question 16

EXPONENTS

Answer 16

TO MULTIPLY/DIVIDE VALUES WITH EXPONENT POWERS —> ADD/SUBTRACT THE EXPONENTS

AN EXPONENT RAISED TO AN EXPONENT —> MULTIPLY EXPONENTS

NEGATIVE POWERS: A number raised to the exponent -X is the reciprocal of that number raised to the exponent X
n^-2 = 1/n^2

Question 17

SUM OF ANGLES IN A POLYGON WITH n sides

Answer 17

= (n - 2) x 180

Question 18

RECTANGULAR SOLID

Answer 18

VOLUME = LENGTH X WIDTH X HEIGHT

SURFACE AREA = 2LW + 2WH + 2LH

Question 19

CYLINDER

Answer 19

VOLUME = AREA OF BASE X HEIGHT
= (pi)(r^2)(height)

SURFACE AREA = 2(pi)(r^2) + 2(pi)(r)(h)