HESI A2 LPN Math Entrance Exam Questions & Answers

0 Degrees Celsius = ____ Degrees Fahrenheit - ANSWERS32 100 Degrees Celsius = ____ Degrees Fahrenheit - ANSWERS212 1 kilometer = ____ meters - ANSWERS1000 1 meter = ____ centimeters - ANSWERS100 cm 1 inch = ____ centimeters - ANSWERS2.54 cm 1 mile = ____ feet - ANSWERS5,280 1 mile = ____ yards - ANSWERS1,760 1 yard = ____ feet - ANSWERS3ft 1 foot = ____ inches - ANSWERS12 in 1 liter = ____ milliliters - ANSWERS1000 1 milliliter = ____ cubic centimeter - ANSWERS1 1 gallon = ____ quarts - ANSWERS4 1 gallon = ____ pints - ANSWERS8 1 gallon = ____ ounces - ANSWERS128 1 quart = ____ pints - ANSWERS2 1 pint = ____ cups - ANSWERS2 1 pint = ____ ounces - ANSWERS16 ounces 1 ounce = ____ milliliters - ANSWERS30 1 kilogram = ____ grams - ANSWERS1000 1 gram = ____ milligrams - ANSWERS1000 1 ton = ____ pounds - ANSWERS2000 1 pound = ____ ounces - ANSWERS16 1 pound = ____ kilograms - ANSWERS2.2 Roman Numeral I = ____ - ANSWERS1 Roman Numeral IV = ____ - ANSWERS4 Roman Numeral V = ____ - ANSWERS5 Roman Numeral IX = ____ - ANSWERS9 Roman Numeral X = ____ - ANSWERS10 Roman Numeral L = ___ - ANSWERS50 Roman numeral XC= - ANSWERS90 Roman Numeral XL = - ANSWERS40 Roman Numeral LX = ____ - ANSWERS60 Roman Numeral C = ____ - ANSWERS100 Roman Numeral D = ____ - ANSWERS500 CM= - ANSWERS900 Roman Numeral M = ____ - ANSWERS1000 Roman Numeral ___ V = - ANSWERS5000 X = - ANSWERS10,000 L = - ANSWERS50,000 C = - ANSWERS100,000 D = - ANSWERS500,000 M = - ANSWERS1,000,000 1 million 1 quart = ____ ounces - ANSWERS32 Convert a fraction to a percentage example - ANSWERSDivide the top of the fraction by the bottom, multiply by 100 & add % sign. Ex. 2/3 = 0. = 0. *100 = 66.7% To convert a fraction to a percent - ANSWERSChange the fraction into a division problem and solve. Move the decimal behind the hundredths place in the quotient. Drop the percent sign after the new number. To convert a percent to fraction - ANSWERSStep 1: Write down the percent divided by 100 like this: percent/100 Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.) Step 3: Simplify (or reduce) the fraction Ex. 75% = 75/100 = 15/20 = 3/4 Convert 62.5% to a fraction - ANSWERSEx. Step 1: write down. 62.5% = 62.5/100 Step 2: multiply both top & bottom by 10. = 62.5/100 *10 = 625/1000 Step 3: Simplify the fraction. 625/1000 Divided by 25 = 25/40 can go lower if divided by 5 which = 5/8 A sample contains 2/3 oz. of liquid. How many milliliters (mL) is this? - ANSWERSTo convert oz. to mL, multiply by 30 oz./mL. 2/3 * 30 = 60/3 = 20 Instructions require you to dilute a powder in 3 quarts of water. You only have a container that is marked in liters. How many liters would you use to dilute the powder? - ANSWERS1 Quart = 32 oz Therefore, 3 Quarts = 96oz. There are 30 milliliters per oz., so 96 oz. = 2,880 milliliters There are 1000 milliliters per liter, so 2,880 mL = 2.88 Liters Or 1 Quart = 0.946 Liter *3= 2.838 = 2.88 L 35% to fraction - ANSWERS35/100 = 7/20 1 foot = - ANSWERS30.48 centimeters or 0.3048 meters 1 yard = - ANSWERS0.914 meters 1 mile = - ANSWERS1.609 kilometers 1 ounce = - ANSWERS28.350 grams 1 pound = - ANSWERS454 grams or .454 kilograms 1 fluid ounce = - ANSWERS29.574 milliliters 1 Quart = - ANSWERS0.946 liters 1 Gallon = - ANSWERS3.785 liters 1 Pound = - ANSWERS8 fluid ounces 10 kilograms is equivalent to how many pounds? - ANSWERSto convert kilograms to pounds, multiply 2.2 lbs/kilo. 10 * 2.2 = 22 How to convert Celsius to Fahrenheit? - ANSWERSMultiply by 1.8 & add 32. Ex. 30 Celsius * 1.8 + 32 = 86 Fahrenheit How to convert Fahrenheit to Celsius? - ANSWERSSubtract 32 & Divide by 1.8 Ex. (50 Fahrenheit - 32) /1.8 = 32.2 Celsius what is the reciprocal of 6? - ANSWERS6/1 = 1/6 In class the ratio of males to females is 4:5. If there are 36 total students, how many females are in the class? - ANSWERSMales= 4 Females= 5 Total= 9 How many times does 9 go into 36? 4. so multiply 4 by each male, female, and total. male= 4*4= 16 female= 5*4= 20 total= 9*4= 36 A roast was cooked at 325 Fahrenheit in the oven for 4 hours. The internal temp. rose from 32 Fahrenheit to 145 Fahrenheit. What was the average rise in temperature per hour? - ANSWERStemp./hr = (145-32)Fahrenheit/4hrs. = 113F/4hrs = 28.25 F/hr Roman numerals - ANSWERSWhen a c is put before an m it means to subtract 100 for 1000 Example for Roman numeral - ANSWERS1969 = 100 - M 900 - CM 60 - LX 9 - IX = MCMLXIX 1991 in Roman numerals - ANSWERS1000 = M 900 = CM 90 = XC 1 = I = MCMXCI 2016 - ANSWERS1000 = M 1000 = M 10 = X 6 = VI = MMXVI 0 Celsius - ANSWERS32 Fahrenheit (freezing point of water) 100 Celsius - ANSWERS212 Fahrenheit (boiling point of water) adding positive and negative numbers - ANSWERSsubtract, and use sign of larger number (3 + -4 = -1 or -3 + 4 = 1) adding negative numbers - ANSWERSadd, and the answer will be negative; negative plus negative equals negative (-2 + -5 = -7) a negative minus a negative - ANSWERSadd, and the answer will be negative (-5 - 3 = -8) a positive minus a negative - ANSWERSadd, and the answer will be positive; positive minus negative equals positve (2 - -3 = 5) multiplying & dividing with the same signs - ANSWERSthe answer will be positive whether both signs are positive, or both signs are negative (3*3 = 9) or (-4*-5 = 20) multiplying & dividing with different signs - ANSWERSthe answer will be negative when multiplying or dividing different signs (-5*5 = -25) P E M D A S - ANSWERSin a math problem, the order of operations (steps to be done) from left to right starting with parenthesis, exponents, multiplying & dividing, and adding & subtracting GCF (Greatest Common Factor) - ANSWERSthe largest number that can divide into both numbers, and be shared by, two numbers (7 & 21) For 7: 1, 7 For 21: 1, 3, 7, 21: GCF = 7) LCD (Lowest Common Denominator) - ANSWERSthe smallest multiple of a number that is shared by two numbers EX) 2/5 + 3/4= LCD = 20 = 8/20 + 15/20 = 23/20 = 23/20 = 1 3/20 adding and subtracting fractions - ANSWERSConvert all fractions into numbers with common denominators by finding the LCD of each fraction. Once the denominators are the same, the numerators can be added or subtracted. mixed fraction - ANSWERSa number that is a whole number, and a fraction adding mixed fractions - ANSWERSfirst add the whole numbers, then add the fractions (apply common denominators if needed) subtracting mixed fractions - ANSWERSconvert any mixed fractions to improper fractions, and subtract (apply common denominators if needed) improper fraction - ANSWERSa fraction in which the numerator is larger than the denominator mixed fraction to improper fraction - ANSWERSmultiply the denominator by the whole number and add the numerator, keep the original denominator improper fraction to mixed fraction - ANSWERSdivide the larger numerator by the smaller denominator; the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same. multiplying fractions - ANSWERSsimple multiply; (top times top and bottom (bot) times bottom) EX) (8/5 *5/8) = 8*5 = 40 & 5*8 = 40 = 40/40 = 1 multiplying mixed fractions - ANSWERSconvert any mixed fraction to an 1. improper fractions & keep the previous denominator of each fraction, 2. Look for common multiples and cross cancel, 3. Rewrite the new fractions after cross cancelling, 4. Multiply, 5. Convert improper fraction into a mix number. Ex) 4 1/5 * 2 6/7= 1. (4*5+1) * (2*7+6) = 21/5 * 20/7 2. (common multiple between 21 and 7 is 7) & (common multiple between 5 and 20 is 5) 3. = 3/1 * 4/1 4. = 12/1 5. = 12 dividing fractions - ANSWERSRemember mixed numbers cannot be divided with fractions,so all mixed numbers must be converted into improper fractions before the question can be solved. Unlike multiplying, the division of fractions calls for the dividing fraction to be inverted (or flipped) 1. Convert all whole numbers and mixed numbers into improper fractions 2) Invert the second fraction (flip the fraction so the denominator becomes the numerator) 3) Cross if necessary (if there are common multiples make the numbers smaller ) 4) Multiply all numerators 5) Multiply all denominators 6) Convert the fraction to a mixed number 7) Reduce answer the lowest terms dividing mixed fractions - ANSWERSconvert any mixed fraction to an improper fraction, and divide as usual (invert the second fraction and multiply) percent formula - ANSWERSis/of = %/100 percent change - ANSWERSamount of change divided by original amount, times 100 (amount of change/original amount * 100) percent increase - ANSWERSsubtract old amount from new amount, divided by original amount times 100 ([new amount - old amount]/original amount * 100) percent decrease - ANSWERSsubtract new amount from old amount, divided by original amount times 100 ([original amount - new amount]/original amount * 100) Amount increase or decrease - ANSWERSmultiply original price times % mark up, or mark down (original price * percent mark up or mark down) original price equals - ANSWERSdivide new price by whole amount minus % mark up, or mark down (new price/[whole - percent mark down or mark up]) finding ratio equivalents - ANSWERScross multiply with given ratio and information ratios; finding the whole when a total is given - ANSWERSconvert the ratio to a fraction by adding together the parts of the ratio, this sum is the whole and will be the denominator to the parts to cross multiply. (ratio 5:4 = 9; 4/9 and tot 90 is 4/9 = x/90; x = 40) direct proportion - ANSWERStwo quantities that are directly proportional will increase or decrease in tandem. They change in the same direction. For direct proportions, solve by cross multiplying. inverse proportion - ANSWERStwo quantities which are inversely proportional will change in opposite directions. As one increases, the other will decrease. For indirect proportions, examine the rates at which the two quantities change, then solve using a fractional equation. equations with more than one variable - ANSWERSexample: solve for y: (4x + 3y = 3x + 2y). combine like terms: (3y - 2y = 3x - 4x). solve for y: (y = -x) adding & subtracting in algebraic equations - ANSWERSonly like terms can be added or subtracted. A like term is one with the same variable or combination of variables. Constants are numbers without variables attached, and those can be grouped together as well. multiplying in algebraic equations - ANSWERSfirst multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. monomial times monomial - ANSWERSremember a variable with no exponent has an implied exponent of 1. First multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. ( [3 x4 y2 z][2 y4 z5]= 6 x4 y6 z6) monomial times polynomial - ANSWERSFirst multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. Remember a variable with no exponent has an implied exponent of 1. ( [2y2][y3 + 2 xy2z = 4z] = 2y5 + 4xy4z + 8y2z) binomial times binomial - ANSWERSRemember foil: first, outer, inner, last. Combine like terms by adding/subtracting. binomial times polynomial - ANSWERSmultiply both terms in the binomial, one by one, with each term in the polynomial creating a first term and a second term, then solve by adding the two terms together. roman numeral system - ANSWERSSystem of writing numbers using a combination of: M, D, C, L, X, V, I; numerals are combined to form numbers through addition. A numeral with a smaller value placed before a larger value, means the smaller # is then subtracted. adding and subtracting decimals - ANSWERSline up decimals, and add or subtract multiplying decimals - ANSWERSMultiply as whole numbers, count decimal places in each number and add them together. Move the decimal place to the left this many places in the product. (Example: 0.002 x 3.4 or 2 x 34 = 68, plus four decimal places equals 0.0068) dividing decimals - ANSWERSMove the decimal to the right in the divisor, making it a whole number. Move the decimal the same number of places in the dividend and bring to the top in the quotient, then divide normally. (Example: 34/2.5 is 340.0/25.) percent to decimal - ANSWERSMove the decimal point two spaces away from the percent sign, [always 2 places left]. Drop the percent sign. When a decimal point is not visible, know that it is always located AFTER the last number in a whole number. (Example: 85.4% to a decimal = 0.854 75% [decimal not visible] to a decimal = 0.75) fraction to decimal - ANSWERSDivide the numerator by the denominator, and add a decimal & two zeros after the number being divided. Top goes in the box, and bottom goes out. Round to the hundredths place for continuous numbers. (Example: 3/4 to a decimal is 3.00 divided by 4 = 0.75) decimal to fraction - ANSWERSThis requires knowing the place value of the numbers in the decimal. Use the place value to make a fraction. Reduce when necessary. (Example: 0.9[10ths place] to a fraction is 9/10) decimal to percent - ANSWERSMove the decimal point to the right two places, [always 2 places right]. Add the percent sign behind the new number. (Example: 0.13 to a percent = 13% 0.002 to a percent = 0.2%) fraction to percent - ANSWERSdivide the top number by the bottom number. then multiply the result by 100, and add the "%" sign. 1 quart = - ANSWERS4 cups 1 gallon = - ANSWERS4 quarts 1 gallon = how many cups - ANSWERS16 cups 1 year = how many weeks - ANSWERS52 weeks (time) 1 centimeter (cm) = how many millimeters (mm) - ANSWERS10 millimeters (length) 1 liter (L) = - ANSWERS1000 milliliters comparison of rational numbers - ANSWERSto determine which of two fractions is greater than, less than, or equal; cross multiply and apply product to the numerator of the fraction. The greater number will be revealed. perimeter formula - ANSWERSperimeter = width + width + length + length; to solve, all measurements must have the same units, and may require conversions area formula - ANSWERSarea = length times width; to solve, all measurements must have the same units, and may require conversions interest (I) - ANSWERSinterest = principle times rate, times time (I = prt) principle (p) - ANSWERSprinciple = interest divided by rate, times time (p = I/rt) rate (r) - ANSWERSrate = interest divided by principle, times time (r = I/pt) time (t) - ANSWERStime = interest divided by principle, times rate (t = I/pr) How many milliliters are in 1 ounce? - ANSWERS30 mililiters 1/5 - ANSWERS.20 ,20% 3/4 - ANSWERS.75 ,75% 1/2 - ANSWERS.50, 50% 1/4 - ANSWERS.25 ,25% 3/5 - ANSWERS.60, 60% 4/5 - ANSWERS.80, 80% 1/8 - ANSWERS.125 ,12.5% 3/8 - ANSWERS.375 ,37.5% 1/3 - ANSWERS.333 ,33.3% 2/3 - ANSWERS.666, 66.6% Proportions - ANSWERS2 ratios that have equal value Ex: 5/12 = 25/60 Ex: 5:12::25:60 Solve the proportion (Find value of x) - ANSWERS-Rewrite as fractions -Multiply diagonal #s -Divide answer by remaining # Ex: x:63::24:72 62•24 =1512 72 = 21 x=21 Ex: 18 is 50% of what number? - ANSWERS18/x = 50/100 18•100 = 1800 50 = 36 Roman Numerals A letter placed after another of a greater value... - ANSWERSAdds Ex: XVI = 16 Roman Numeral A letter placed before another of a greater value... - ANSWERSSubtracts Ex: XC = 90 Roman Numeral example 1984 - ANSWERSMCMLXXXIV 1000 (M) 900 (CM) 80 (LXXX) 4 (IV) Roman Numeral example 2012 - ANSWERSMMXII 2000 (MM) 12 (XII) PEMDAS - ANSWERSParentheses Exponents Multiply Divide Add Subtract 0' Celsius - ANSWERS32' Fahrenheit (the freezing point of water) 100' Celsius - ANSWERS212' Fahrenheit (the boiling point of water) LXXX - ANSWERSRoman Numeral for 80 Write 4% as a decimal. - ANSWERSAnswer: 0.04 Explanation: 4% = 4/100 =0.04 Write 15% as a fraction. - ANSWERSCorrect answer: 3/20 Explanation: A fraction is always out of 100, so take the percentage and divide it by 100,,,,, 15% = 15/100 reduces to 3/ 20 = 0.15 Write 33 1/3% as a decimal. - ANSWERSAnswer: 0.3333 Explanation: 33 is our whole number, so we won't be doing anything with it, however the fraction 1/3 needs to become a decimal. We can find the decimal by dividing 3 into 1 which goes 0.33 times. So our percentage is 33.33% which when divided by 100, or when we move the decimal place to the left two places we have.... 0.3333 12 is what percent of 40? - ANSWERSCorrect answer: 30% Explanation: 12 = x40 divde both sides by 40 and you get.. 12/40 which reduces to 3/10, turn this into a decimal..=0.3 and multiply this by 100 to get 30% 50 is what percent of 300? - ANSWERSCorrect answer: 17% Explanation: Again, here is our operating words, 50 is, or equals, what or x, percent of 300. so we have 50 = x (300),,, now divide both sides by 300 and reduce the fraction 50/300 and then multiply by 100 for a percent. 1/6 (100) = 16% Write 5/8 as a percent - ANSWERSAnswer: 62.5% Explanation: First turn this into a decimal by dividing 8 into 5.= 0.2, then multiply this by 100 = 20 Write 9/11 as a percent. - ANSWERSAnswer: 82% Explanation: Divide 11 into 9 to get 0.818 and multiply this by 100 to get about 81% or 81.8% Write 65 5/8 as a decimal. - ANSWERSAnswer: 65.625 Explanation: A decimal is always a number smaller than one, so we can leave 65 as it is and just turn the fraction into a decimal., so our decimal becomes 65.625 Write 2 1/5 as a percent. - ANSWERSCorrect answer: 220% Explanation: 2 and 1/5 in decimal form is 2.8, multiply this times 100 and we get 280% 85% of all the students have B's. What is the percentage that do not have B's, if the total number of students is 160. - ANSWERSCorrect answer: 15% Explanation: This is a trick question. All you have to know is that everything is out of 100%, so if 85% is given, the balance is simply 15% Your stock current costs is $34.56 dollars per share. At the closing of the Dow, your stock went up 1/8%. How much is your stock worth now? - ANSWERSCorrect answer: $34.60 Explanation: 1/8% is equal to 0.125/100 = 0.00125, now if we mulitply this times the stock value, we get 0.00432 and then we add this to our stock amount =0.0423 + 34.56 = 34.60. If 15% of all Americans are millionaires, how many Americans are not millionaires, if there are 245,000,000 Americans? - ANSWERSCorrect answer: 208,250,000 Explanation: Remember 15% is the balance of 85%, which are the percentage of Americans that are not millionares. So just take 0.85 times the population. 280,250,000 According to the diet clinic Angie was diagnosed as being 15 pounds overweight for her body size. If Angie weighs 150 pounds, what percentage her weight needs to be lost? - ANSWERSCorrect answer: 10% Explanation: The question here is,,,,,, 15 pounds is what % of 150 or.... 15 = x 150,, so we divide both sides of the equation by 150 to get 30 percent. Did you remember to mulitply by 100 to get your perecent? John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did John walk? - ANSWERSCorrect answer: 2 and 7/16 of a mile