ATI TEAS 6 Study Guide Math (2026 Edition):
Verified Practice Questions with Actual
Answers for the TEAS 6 Math Section
Decimal Placement/Converting - Answer-- Value greater than 1, Move decimal to
right till you get whole number.
- Number becomes numerator and 1 becomes denominator with the number of
0's that matches number of moves for decimal. = *Fraction*
- Value less than 1. Use whole number as numerator and the *Place value* of
*last decimal Digit* as denominator. =*Fraction*
Percentage Convert to/from Decimal - Answer-*TO* - Divide % by 100 then
remove % symbol
*FROM* - Multiply by 100 then add % symbol
Divide % by 100 - Answer-How do you convert a percent into a decimal?
Percentage Convert to/from Fraction - Answer-*TO* - Convert to decimal first
(divide by 100) then put into simplest form
*FROM* - Convert to decimal (multiply to get 100 in denominator then divide by
denominator) then put decimal into %
,Rational Numbers can be represented by? - Answer-By *fractions*
Includes: Whole Numbers, Positives/Negatives, Zero, and all decimals that either
terminate or repeat.
~Irrational numbers will not concern us at this point
Solve Real World Problems with Percentage - Answer-Percent *LESS THAN OR
EQUAL TO* 100%
~(50% -> 50 out of 100%)
Percent *MORE THAN* 100%
~(150% is 150 for each 100)
-Percent off sales tax, annual percent interest rate at a bank, annual percent gain
or loss for a company or business, percent commission for sales person, percent
depreciation of assets, percentages of ingredients in a mixture or recipe.
Sales Tax Equation - Answer--Convert % to decimal then Multiply % times the
Original Number (% x Original Price, Original Price + x = ST)
Percent Increase Equation - Answer-- Percent Increase
~ PI= new amount - original amount/ original amount X 100%
Percent Decrease Equation - Answer-PD = original amount - new amount/ original
amount X 100%
Rounding Rules - Answer-- 5 or *LARGER*, round *UP* (decimals)
- 5 or *SMALLER*, Round *DOWN* (decimals)
, - Numerator is *GREATER THAN OR EQUAL TO 1/2* the denominator, then round
whole # *UP*
- Numerator is *LESS THAN OR EQUAL TO 1/2* the denominator, then round
whole # *DOWN*
Proportions - Answer-Ratio in fraction form set equal to another ratio in fraction
form.
~Example:
50mi/1cm = X/12.6cm (cross multiply) ->
50mi*x*12.6cm/1cm=X*x*12.6cm/12.6cm (cancel out 12.6cm on Num. and Den.)
-> 50mi*x*12.6cm/1cm (cancel out cm) = X -> 630mi = X
Constant of Proportionality - Answer-Also known as *Rate of Change*
Ratio between two quantities
~Y=k*x (k is constant, y and X are direct proportion)
~One variable is always the product of the other and a constant, the two are said
to be directly proportional.
Ratio/Rate Change - Answer--Ratio: Simply just a fraction.
Once you add/attach WORDS (units) to fraction then it becomes a RATE.
- Example-
~Y2-Y1/X2-X1 rise over run
~Unit Rate - denominator HAS to be 1
Translate Phrases and Sentences into Expressions, Equations, and Inequalities -
Answer-Sentence Fragments become *Expression* and Full Sentences becomes
*Equations and Inequalities*.
Verified Practice Questions with Actual
Answers for the TEAS 6 Math Section
Decimal Placement/Converting - Answer-- Value greater than 1, Move decimal to
right till you get whole number.
- Number becomes numerator and 1 becomes denominator with the number of
0's that matches number of moves for decimal. = *Fraction*
- Value less than 1. Use whole number as numerator and the *Place value* of
*last decimal Digit* as denominator. =*Fraction*
Percentage Convert to/from Decimal - Answer-*TO* - Divide % by 100 then
remove % symbol
*FROM* - Multiply by 100 then add % symbol
Divide % by 100 - Answer-How do you convert a percent into a decimal?
Percentage Convert to/from Fraction - Answer-*TO* - Convert to decimal first
(divide by 100) then put into simplest form
*FROM* - Convert to decimal (multiply to get 100 in denominator then divide by
denominator) then put decimal into %
,Rational Numbers can be represented by? - Answer-By *fractions*
Includes: Whole Numbers, Positives/Negatives, Zero, and all decimals that either
terminate or repeat.
~Irrational numbers will not concern us at this point
Solve Real World Problems with Percentage - Answer-Percent *LESS THAN OR
EQUAL TO* 100%
~(50% -> 50 out of 100%)
Percent *MORE THAN* 100%
~(150% is 150 for each 100)
-Percent off sales tax, annual percent interest rate at a bank, annual percent gain
or loss for a company or business, percent commission for sales person, percent
depreciation of assets, percentages of ingredients in a mixture or recipe.
Sales Tax Equation - Answer--Convert % to decimal then Multiply % times the
Original Number (% x Original Price, Original Price + x = ST)
Percent Increase Equation - Answer-- Percent Increase
~ PI= new amount - original amount/ original amount X 100%
Percent Decrease Equation - Answer-PD = original amount - new amount/ original
amount X 100%
Rounding Rules - Answer-- 5 or *LARGER*, round *UP* (decimals)
- 5 or *SMALLER*, Round *DOWN* (decimals)
, - Numerator is *GREATER THAN OR EQUAL TO 1/2* the denominator, then round
whole # *UP*
- Numerator is *LESS THAN OR EQUAL TO 1/2* the denominator, then round
whole # *DOWN*
Proportions - Answer-Ratio in fraction form set equal to another ratio in fraction
form.
~Example:
50mi/1cm = X/12.6cm (cross multiply) ->
50mi*x*12.6cm/1cm=X*x*12.6cm/12.6cm (cancel out 12.6cm on Num. and Den.)
-> 50mi*x*12.6cm/1cm (cancel out cm) = X -> 630mi = X
Constant of Proportionality - Answer-Also known as *Rate of Change*
Ratio between two quantities
~Y=k*x (k is constant, y and X are direct proportion)
~One variable is always the product of the other and a constant, the two are said
to be directly proportional.
Ratio/Rate Change - Answer--Ratio: Simply just a fraction.
Once you add/attach WORDS (units) to fraction then it becomes a RATE.
- Example-
~Y2-Y1/X2-X1 rise over run
~Unit Rate - denominator HAS to be 1
Translate Phrases and Sentences into Expressions, Equations, and Inequalities -
Answer-Sentence Fragments become *Expression* and Full Sentences becomes
*Equations and Inequalities*.
