HESI A2 LPN Math Entrance Exam Questions and Answers 2023 ( Latest Already Graded A+)

HESI A2 LPN Math Entrance Exam Questions and Answers 2023 ( Latest Already Graded A+) In class the ratio of males to females is 4:5. If there are 36 total students, how many females are in the class?: Males= 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 65. 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?: temp./hr = (145-32)Fahrenheit/4hrs. = 113F/4hrs = 28.25 F/hr 66. Roman numerals: When a c is put before an m it means to subtract 100 for 1000 67. Example for Roman numeral: 1969 = 100 - M 900 - CM 60 - LX 9 - IX = MCMLXIX 68. 1991 in Roman numerals: 1000 = M 900 = CM 90 = XC 1 = I = MCMXCI 69. 2016: 1000 = M 1000 = M 10 = X 6 = VI = MMXVI 70. 0 Celsius: 32 Fahrenheit (freezing point of water) 71. 100 Celsius: 212 Fahrenheit (boiling point of water) 4 / 44 HESI A2 LPN Math Entrance Exam 72. adding positive and negative numbers: subtract, and use sign of larger number (3 + -4 = -1 or -3 + 4 = 1) 73. adding negative numbers: add, and the answer will be negative; negative plus negative equals negative (-2 + -5 = -7) 74. a negative minus a negative: add, and the answer will be negative (-5 - 3 = -8) 75. a positive minus a negative: add, and the answer will be positive; positive minus negative equals positve (2 - -3 = 5) 76. multiplying & dividing with the same signs: the answer will be positive whether both signs are positive, or both signs are negative (3*3 = 9) or (-4*-5 = 20) 77. multiplying & dividing with different signs: the answer will be negative when multiplying or dividing different signs (-5*5 = -25) 78. P E M D A S: in a math problem, the order of operations (steps to be done) from left to right starting with parenthesis, exponents, multiplying & dividing, and adding & subtracting 79. GCF (Greatest Common Factor): the 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) 80. LCD (Lowest Common Denominator): the 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 81. adding and subtracting fractions: Convert 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. 82. mixed fraction: a number that is a whole number, and a fraction 5 / 44 HESI A2 LPN Math Entrance Exam 83. adding mixed fractions: first add the whole numbers, then add the fractions (apply common denominators if needed) 84. subtracting mixed fractions: convert any mixed fractions to improper fractions, and subtract (apply common denominators if needed) 85. improper fraction: a fraction in which the numerator is larger than the denominator 86. mixed fraction to improper fraction: multiply the denominator by the whole number and add the numerator, keep the original denominator 87. improper fraction to mixed fraction: divide the larger numerator by the smaller denominator; the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same. 88. multiplying fractions: simple multiply; (top times top and bottom (bot) times bottom) EX) (8/5 *5/8) = 8*5 = 40 & 5*8 = 40 = 40/40 = 1 89. multiplying mixed fractions: convert 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 90. dividing fractions: Remember 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) 6 / 44 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 91. dividing mixed fractions: convert any mixed fraction to an improper fraction, and divide as usual (invert the second fraction and multiply) 92. percent formula: is/of = %/100 93. percent change: amount of change divided by original amount, times 100 (amount of change/original amount * 100) 94. percent increase: subtract old amount from new amount, divided by original amount times 100 ([new amount - old amount]/original amount * 100) 95. percent decrease: subtract new amount from old amount, divided by original amount times 100 ([original amount - new amount]/original amount * 100) 96. Amount increase or decrease: multiply original price times % mark up, or mark down (original price * percent mark up or mark down) 97. original price equals: divide new price by whole amount minus % mark up, or mark down (new price/[whole - percent mark down or mark up]) 98. finding ratio equivalents: cross multiply with given ratio and information 99. ratios; finding the whole when a total is given: convert 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) 100. direct proportion: two quantities that are directly proportional will increase or decrease in tandem. They change in the same direction. For direct proportions, solve by cross multiplying. 101. inverse proportion: two 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. 7 / 44 102. equations with more than one variable: example: solve for y: (4x + 3y = 3x + 2y). combine like terms: (3y - 2y = 3x - 4x). solve for y: (y = -x) 103. adding & subtracting in algebraic equations: only 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. 104. multiplying in algebraic equations: first multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. 105. monomial times monomial: remember 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) 106. monomial times polynomial: First 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) 107. binomial times binomial: Remember foil: first, outer, inner, last. Combine like terms by adding/subtracting. 108. binomial times polynomial: multiply 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. 109. roman numeral system: System 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. 110. adding and subtracting decimals: line up decimals, and add or subtract 111. multiplying decimals: Multiply 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) 112. dividing decimals: Move 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.) 8 / 44 113. percent to decimal: Move 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) 114. fraction to decimal: Divide 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) 115. decimal to fraction: This 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) 116. decimal to percent: Move 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%) 117. fraction to percent: divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign. 118. 1 quart =: 4 cups 119. 1 gallon =: 4 quarts 120. 1 gallon = how many cups: 16 cups 121. 1 year = how many weeks: 52 weeks (time) 122. 1 centimeter (cm) = how many millimeters (mm): 10 millimeters (length) 123. 1 liter (L) =: 1000 milliliters 124. comparison of rational numbers: to 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. 125. perimeter formula: perimeter = width + width + length + length; to solve, all measurements must have the same units, and may require conversions 126. area formula: area = length times width; to solve, all measurements must have the same units, and may require conversions 127. interest (I): interest = principle times rate, times time (I = prt) 9 / 44 128. principle (p): principle = interest divided by rate, times time (p = I/rt) 129. rate (r): rate = interest divided by principle, times time (r = I/pt) 130. time (t): time = interest divided by principle, times rate (t = I/pr) 131. How many milliliters are in 1 ounce?: 30 mililiters 132. 1/5: .20 ,20% 133. 3/4: .75 ,75% 134. 1/2: .50, 50% 135. 1/4: .25 ,25% 136. 3/5: .60, 60% 137. 4/5: .80, 80% 138. 1/8: .125 ,12.5% 139. 3/8: .375 ,37.5% 140. 1/3: .333 ,33.3% 141. 2/3: .666, 66.6% 142. Proportions: 2 ratios that have equal value Ex: 5/12 = 25/60 Ex: 5:12::25:60 143. Solve the proportion (Find value of x): -Rewrite as fractions -Multiply diagonal #s -Divide answer by remaining # Ex: x:63::24:72 62•24 =1512 72 = 21 x=21 144. Ex: 18 is 50% of what number?: 18/x = 50/100 18•100 = 1800 50 = 36 145. Roman Numerals A letter placed after another of a greater value...: Adds Ex: XVI = 16 10 / 44 146. Roman Numeral A letter placed before another of a greater value...: Subtracts Ex: XC = 90 147. Roman Numeral example 1984: MCMLXXXIV 1000 (M) 900 (CM) 80 (LXXX) 4 (IV) 148. Roman Numeral example 2012: MMXII 2000 (MM) 12 (XII) 149. PEMDAS: Parentheses Exponents Multiply Divide Add Subtract 150. 0' Celsius: 32' Fahrenheit (the freezing point of water) 151. 100' Celsius: 212' Fahrenheit (the boiling point of water) 152. LXXX: Roman Numeral for 80 153. Write 4% as a decimal.: Answer: 0.04 Explanation: 4% = 4/100 =0.04 154. Write 15% as a fraction.: Correct 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 = 0.15 155. Write 33 1/3% as a decimal.: Answer: 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.... 11 / 44 0.3333 156. 12 is what percent of 40?: Correct 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% 157. 50 is what percent of 300?: Correct 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% 158. Write 5/8 as a percent: Answer: 62.5% Explanation: First turn this into a decimal by dividing 8 into 5.= 0.2, then multiply this by 100 = 20 159. Write 9/11 as a percent.: Answer: 82% Explanation: Divide 11 into 9 to get 0.818 and multiply this by 100 to get about 81% or 81.8% 160. Write 65 5/8 as a decimal.: Answer: 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 65.625 161. Write 2 1/5 as a percent.: Correct answer: 220% Explanation: 2 and 1/5 in decimal form is 2.8, multiply this times 100 and we get 280% 12 / 44 162. 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.: Correct 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% 163. 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?: Correct 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. 164. If 15% of all Americans are millionaires, how many Americans are not millionaires, if there are 245,000,000 Americans?: Correct 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. 280,250,000 165. 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?: Correct 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? 166. John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did John walk?: Correct answer: 2 and 7/16 of a mile Explanation: 1. 2 and 7/16 of a mile 2. 3 miles 3. 2.5 miles Solution; Take ¾ of 3 ¼. The word "of" means to multiply. ¾(3 ¼) ¾ (13/4) Numerator multiples numerator and denominator multiples denominator. 39/16