UPCAT (Math)

Rational & Irrational

Real Numbers

√negative numbers, i = √-1

Imaginary Numbers

Fraction that the denominator is not 0

Rational

Repeating Decimal

Rational

Positive and Negative Numbers (No Decimal)

Integers

Counting Numbers from 1

Natural

From 0

Whole Numbers

Add the Numbers

Copy the Sign

Adding Integers (Same Sign)

Subtract Small from Big Number

Copy the Sign of Big

Adding Integers (Different Sign)

Change the Operation into Addition

Change the Sign of Subtrahend

Complete the Operation

Copy the Sign of a Big

Subtracting Integers

Solve the Operation

Look at the Signs

Same Signs, answer will be +

Multiplying and Dividing Integers (Same Sign)

Solve

Look

Diff Signs, answer will be -

Multiplying and Dividing Integers (Different Sign)

BODMAS

PEMDAS

Parentheses, Exponent, Multiplication/Division, Addition/Subtraction

PEMDAS

Brackets, Order, Division/Multiplication, Addition/Subtraction

BODMAS

Divide Evenly

Factors

Multiply by an Integer

Multiples

Even

Is it divisible by 2?

If the sum of its digits is divisible by 3

Is it divisible by 3?

If the last 2 digits divisible by 4

Is it divisible by 4?

If the last digit is 0 or 5

Is it divisible by 5?

If it is divisible by 2 and 3

Is it divisible by 6?

Double the last digit and subtract it from a number made by the other digits. The result must be divisible by 7 or 0.

Is it divisible by 7?

If the last 3 digits are divisible by 8 (also even)

Is it divisible by 8?

If the sum of its digits is divisible by 9

Is it divisible by 9?

Last digit is 0

Is it divisible by 10?

Add magkabilang number = 0 or divisible by 11

Is it divisible by 11?

Divisible by 3 & 4

Is it divisible by 12?

Turn it into numerator

1 as denominator

Count decimal placess add 0 to denominator

Reduce fraction to smallest forms

Converting Decimals to Fraction

Divide the numerator by the denominator

Converting Fractions to Decimals

Find the least common denominator (LCD)

Have the same denominator

Adding Fractions

Convert into Improper Fraction (D x W + N) and copy D

Get the LCD

Add the Numerators

Convert back into Mixed Numbers

Adding Mixed Numbers

Find the least common denominator (LCD)

Have the same last name

Subtracting Fractions

Convert into Improper Fraction (D x W + N) and copy D

Get the LCD

Subtract the Numerators

Convert back into Mixed Numbers (if improper)

Subtracting Mixed Numbers

Tapat imultiply

Multiplying Fractions

Convert into Improper Fraction (D x W + N) and copy D

Match and Multiply

Convert into Mixed

Multiplying Mixed Numbers

Change into Multiply

Baliktarin yung pangalawang fraction

Divide Answer

Dividing Fractions

Convert into Improper Fraction (D x W + N) and copy D

Flip the second fraction

Match and Multiply

Convert to mixed or lowest

Dividing Mixed Number

24 < 2 x 12 < 2 x 6 < 2 x 3

Prime Factorization

Greatest Common Factor/Divisor

GCF = GCD

Least Common Multiple

LCM

Convert it into equation (Change 'is' to =, 'of' to x)

Convert percentage to decimal

Multiply

Percentages

% x ₱ = + ₱ (OP + [OP x %])

Mark Up

(OP - [OP x %])

Discount

A = P (1 + rt)

I = Prt

K = PPP

Interest Conversion

A = Total Accrued Amount

P = Principal Amount

r = rate of interest

t = time period

I - Interest

Tagalog Formula

K = Kita

P = Puhunan

P = Percentage

P = Panahon

Magkakasunod na number

1, 2, 3, 4

Consecutive Integers

9, 11, 13, 15

Consecutive Odd Integers

12, 14, 16, 18

Consecutive Even Integers

+

Sum

-

Difference

x

Product

÷

Quotient

S = n (n + 1) / 2

Sum of All Numbers

S = the sum

n = number of terms

Accepted as true without proof

Postulates