MATH

Question 1

number is divisible by 2 if?

Answer 1

if the number is even

Question 2

divisible by 3.

Answer 2

if the sum of its digits is divisible by 3

Question 3

divisible by 4

Answer 3

if the last 2 digits are divisible by 4

Question 4

divisible by 5

Answer 4

if the last digit is 0 or 5

Question 5

divisible by 6

Answer 5

if the number is divisible by 2( the number is even)
and divisible by 3 (sum of the digits is divisible by 3)

Question 6

divisible by 7

Answer 6

• double the last digit
• subtract it from the remaining number
• the answer has to be 0 or divisible by 7

Question 7

divisible by 8

Answer 7

• last 3 digits are divisible by 8
• must be even number

Question 8

divisible by 9

Answer 8

if the sum of the digits are divisible by 9

Question 9

divisible by 10

Answer 9

number that ends in 0

Question 10

divisible by 11

Answer 10

• if the difference between the sum of the digits at the odd and even places equals to 0 or divisible by 11. then the number is divisible by 11.

Question 11

divisible by 12

Answer 11

if the number is divisible by 3 and 4

Question 12

How to transform numerator when you have different denominator in subtracting and adding fractions?

Answer 12

get the LCD,
then divide the LCD by the denominator
and multiply it on the numerator

Question 13

How to transform mixed number to improper fractions

Answer 13

• multiply numerator to the whole number
• then add the numerator
• the answer is your new numerator
• copy the denominator

Question 14

How to convert Fractions to Decimals
Ex: 0.22

Answer 14

1. put the decimals as the numerator
   
   • 22/N
2. Write 1 as the denominator
   
   • 22/1
3. count the decimal places and add an equivalent amount of zeroes to the denominaor.
   
   • 0.22 = 2 decimal places
     = 22/100 - the denominator is 100 because we add two zeroes because 0.22 have two decimal places.
4. reduce to lowest terms.
   
   • 22/100 = 11/50

Question 15

1/2 is equivalent to?

Answer 15

0.5

Question 16

1/3 is equivalent to?

Answer 16

0.3

Question 17

1/4 is equivalent to?

Answer 17

0.25

Question 18

1/5 is equivalent to?

Answer 18

0.20

Question 19

1/6 is equivalent to?

Answer 19

0.16

Question 20

1/8 is equivalent to?

Answer 20

0.125

Question 21

Percentage change formula

Answer 21

OP - (X * OP) = NP
Original price - (X * Original price) = New Price

Ratio Rotation can also be used. as well as trial and error.

Question 22

Fractions to percentage

Answer 22

Divide the numerator to its denominator

Question 23

How to arrange numbers? Ex: least to gratest or greatest to least?

Answer 23

Ruler method: using a spectrum while estimating the positions of the numbers in the spectrum of 1, 3/4, 1/2, 1/4, 0.

Question 24

Discount word Problems

Answer 24

NP = +or- (OP*%)

Question 25

Simple Interest Formula

Answer 25

I = Prt P = Principal, R = Rate of Interest, and T = Time period.

Question 26

Compound Interest formula

Answer 26

Acurred amount = Principal amount (1+rate of interest/Number of times the interest is compounded in a year) ^Number of times the interest is compounded in a year x Time period A= P(1=r/n)^nt

Question 27

3 raised to 0 power is equal to?

Answer 27

1. - Law of zero exponents. Any number raised to zero is equal to 1.

Question 28

a^-b is equal to?

Answer 28

1/a^b -Law of Negative exponents. ex: 3^-2 = 1/3^2

Question 29

Fraction Exponent :) 3^1/2 is equal to?

Answer 29

$$ \sqrt[2]{3^1} $$ Square root of 3 raised to 1 with the index of 2. Law of Fraction exponent -Numerator is the power - denominator is the root or index.

Question 30

Formula on speed, distance, and time

Answer 30

D = T*D T = D/T D/ST triangle

Question 31

Formula on finding the measurement of interior angles of regular polygons?

Answer 31

(n-2) 180 / n n is the number of sides of a polygon. example: What is the measurement of interior angle of regular polygon with 12 sides? (12-2) 180 / 12 = 150

Question 32

Formula on finding the sum of the interior angles of a regular polygon>

Answer 32

(n-2) 180

Question 33

Formula for Perimeter and Area of Rectangle

Answer 33

Rectangle: P= 2l - 2w A= L*W

Question 34

Perimeter and Area of square

Answer 34

Square: P=4s A=Side squared

Question 35

Area and Circumference of Circle

Answer 35

C= π x D A = π x Radius squared (Pi*r^2)

Question 36

Area and Perimeter of Triangles

Answer 36

Triangle P = A+B+C A= 1/2 (b*h) or b*h / 2

Question 37

Volume and Surface area of Rectangular Prism

Answer 37

Rectangular Prism Surface Area = 2lw + 2hm + 2lh Volume = L*W*H

Question 38

Volume and Surface area of Cube

Answer 38

Surface Area = 6s square (6s^2) Volume = S cube (S^3)

Question 39

Volume and Surface area of Cylinders

Answer 39

Surface Area = 2πrh+ 2πr^2 Volume = πr^2h

Question 40

Volume and Surface area of Spheres

Answer 40

Surface area = 4πr^2 Volume = 4/3πr^3

Question 41

A flat shape made with 4 straight sides with opposite sides that are congruent and parallel.

Answer 41

Parallelogram

Question 42

Does trapezoid a parralelogram?

Answer 42

No, cause their sides meet at a point of time. BUT, trapezoid a quadrilateral.

Question 43

Area and Perimeter of Parallelograms (square, rectangle,rhombus/kite, parallelogram)

Answer 43

P= 2(a+b) A = b*h

Question 44

Area and Perimeter of Trapezoids

Answer 44

P = a+b+c+d (just add the sides) A = a+b/2 * h

Question 45

Recite the Six Trigonometric Ratios.

Answer 45

SOH CAH TOA CHO SHA CAO

Question 46

Phytagorean theorem

Answer 46

a^2 + b^2 = c^2

Question 47

*Review Dividing algebraic Fractions Dividing Polynomials Ratio problems Laws of Logarithm Logarithmic Equations Scientific Notations. Radicals.