HESI MATH COMPLETE STUDY GUIDE ACTUAL EXAM 2025/2026 ACCURATE QUESTIONS WITH CORRECT DETAILED ANSWERS || 100% GUARANTEED PASS <RECENT VERSION>

HESI MATH COMPLETE STUDY GUIDE ACTUAL EXAM 2025/2026 ACCURATE QUESTIONS WITH CORRECT DETAILED ANSWERS || 100% GUARANTEED PASS &lt;RECENT VERSION&gt; 1. Variable - ANSWER A letter representing an unknown quantity (i.e., x) 2. Constant - ANSWER A number that cannot change 3. Expression - ANSWER A mathematical sentence containing constants and variables 4. Exponent - ANSWER A number or symbol placed above and after another number or symbol (a superscript or subscript), indicating the number of times to multiply. 5. What is 15 out of 75 as a percent - ANSWER 20% 6. What is 2 out of 50 as a percent - ANSWER 4% 7. What is 20 out of 100 as a percent - ANSWER 20% 8. what is 28% of 100 - ANSWER 28 9. What is 95% of 20 - ANSWER 19 10. What is 15.5% of 600 - ANSWER 93 11. The number 2 is 20% of what number - ANSWER 10 12. The number 65 is 25% of what number - ANSWER 260 13. The number 9 is 20% of what number - ANSWER 45 14. The number 44 is 25% of what number - ANSWER 176 15. Percent - ANSWER Per hundred (part per hundred) 16. A Farmer has 240 acres under cultivation at the cost $188.99 per acre. If he averages a yield of 60 bushel per acre, what profit is expected if the price per bushel is $5.67 - ANSWER First figure out total cost cultivation. $189.99 per acre x 240 acres = $45,357.60 So basically it costs the farmer $45,357.60 to maintain 240 acres. Next, figure out how much he earns per bushel. 60 bushels per acre x 240 acres- 14,400 bushel total. 14,400 x $5.67 (cost per bushel) = $81,648 $81,648 is how much he earns, but you have to subtract $45,357.60 because that's how much he is losing (spending) to maintain his farm $81,648- $45,357.60 = $36,290.40 17. ( Rounded to the tenths) Sarah ran a 24 mile race. She ran 6 miles in 1.6 hours, 6 miles in 1.2 hours, 6 miles in 1.3 hours 6 miles in1.5 hours. How long did it take her to finish the race? - ANSWER 5 ½ hrs 18. An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip contains 3 report with a paper clip on each one. The supply of paper clip is provided in boxes of 500. How many days will it take for the clerk to use up one box of paper clips? - ANSWER 6.66 0r 7 days 19. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel? - ANSWER If the train leaves at 1:45 and arrives at 3:15 it has been traveling for 1.5 hours. to find how far it has traveled, we multiply by the speed: 1.5*65=97.5 20. Leslie is blowing up one of her favorite photographs to hang on her wall. If the photo's original length and height were 8 inches and 15 inches, and the new height is 4 feet, how many feet must the new picture be? - ANSWER 2.1 21. If Larry can wash 50 cars in 1/2 hour, how long will it take him to wash 80 cars? - ANSWER if it takes Larry 30 minutes (1/2 hour) to wash 50 cars, then it takes 30/50=.6 minutes per car. 80 cars will take 80*6=48minutes 22. A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets back home at 10:00, how many miles did he run? - ANSWER If the runner is out from 7:45 to 10:00, he ran for 2:15. 2;15= 2.25 hours. Since he travels at an average of 6mph, his total travel distance is 2.25*6= 13.5 miles. 23. If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day? - ANSWER 17.5 24. Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets? - ANSWER If 2 workers can finish a play set in 18 hours, it would take half the time, or 9 hours, to finish the play set with 4 workers. It would then take 93 hours to finish building 3 play sets: 9 hours3play sets=27hours. 25. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month? - ANSWER If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, then randy sells 8*690=5,520 vacuum cleaners per a year. The question asks how many vacuum cleaners randy sells per month so: 5,520/12=460 vacuum cleaners per month 26. A nurse is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The urinary drainage bag denotes a total of 1,000 ml for the past 24 hours. The total intake is: 2 8-oz cups of coffee 1- 16 oz serving of clear soup 1 pint of water consumed throughout the day How much is the deficit in milliliters? Enter numeric value, round to nearest whole number. - ANSWER 440 27. A woman received a bottle of perfume as a present. The bottle contains 1/2 oz. of perfume. How many milliliters is this? Round to nearest whole number. - ANSWER 15 28. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions from metric. The directions say, " Dilute contents of package in 2 liters of water." The aide has a measuring device marked in ounces. How many ounces of water should be used? Round to nearest whole number. - ANSWER 66.7 29. If Alice consumes two times as many calories as Claire, and Claire consumes 2,500 calories a day. How many calories does Alice consume a week? 35,000 - ANSWER 35,000 cal 30. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel? - ANSWER 97.5 miles 31. Leslie is blowing up one of her favorite photographs to hang on her wall. If the photo's original length and height were 8 inches and 15 inches, and the new height is 4 feet, how many feet must the new picture be? - ANSWER 2.1 ft 32. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars? - ANSWER 32 min 33. A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets back home at 10:00, how many miles did he run? - ANSWER 13.5 miles 34. A bowling team consists of 34 members, and 18 are male. If 4 females leave the team, what percent of the remaining members are male? - ANSWER 60% 35. A car dealer offers 10 different brands of cars for sale. The average daily sales for the dealer are: Honda - 2 models, sells 20 of each model per day Toyota - 3 models, sells 15 of each model per day Kia - 1 model, sells 7 each day Ford - 4 models, sells 6 of each model per day How many total cars are sold per day? - ANSWER 2 hondas x 20 cars = 40 3 toyotas x 15 cars = 45 1 kia x 7 cars = 7 4 fords x 6 cars=24 40+45+7+24=116 cars 36. 25 chain saws, 14 snow blowers, 18 floor sanders, 12 leaf blowers and 19 power washers. If 25% of the total inventory is available for rental, how many tools can be rented? - ANSWER The total inventory is 88 (25+14+18+12+19) 25% of 88 = 88 x 0.25 = 22 37. The patient currently drink 4 12 oz. cans of diet soda per day. How many ounces of diet soda can the patient drink if he reduces his intake by 25%? - ANSWER Patient currently consumes 48 ounces (4x12 oz) Patient has to give up 25% of 48 ounces = 48 x .25 = 12 oz the patient can drink 48 - 12 = 36 ounces 38. On an annual basis, a hospital deliver 1,820 babies. If 55% of the babies born are boys, how many girls were born in a year? - ANSWER If 55% are boys, then 45% must be girls. 1820 x 45% = 819 girl babies 39. How many gallons are in 80 fluid ounces? - ANSWER There are 128 oz per gallon so, 80 fluid oz = 80 / 128 =0.625 gallons 40. The Warrens are installing a privacy fence along 2 sides of their property. The length of one side is 85 1/3 feet, the length of the other side is 62 5/6 feet. How many feet of fencing will the warrens install - ANSWER 148 1/6 feet 41. 5/7 - 2/7 - ANSWER 3/7 42. 2/4 - 3/16 - ANSWER 5/16 43. 16 8/9 - 5 2/3 - ANSWER 11 2/9 44. 20 1/2 - 4 2/3 - ANSWER 15 5/6 45. Terry has 8 1/4 feet of wood trim. He needs 5 1/3 feet of trim for the wall. After cutting the wood to size, how much trim will he have left? - ANSWER 2 11/12 feet 46. Jordan has a gallon of milk which is equal to 16 cups. She uses 1 1/4 cups of milk to make pancakes. How much milk does she have left? - ANSWER 14 3/4 cups 47. Multiplying Fractions - ANSWER Top x Top, Bottom x Bottom 48. 3/4 x 3/6 - ANSWER 9/24 = 3/8 49. 5 x 7/6 - ANSWER 35/6 = 5 5/6 50. 5 5/8 x 2 5/6 - ANSWER 15 15/16 51. 1 3/9 x 3 1/4 - ANSWER 4 1/3 52. A baseball pitcher hires an average of 15 pitches per inning. This pitcher throws an average of 6 1/3 innings per game. What is the average number of pitches per game for this pitcher? - ANSWER 15/1 x 6 1/3 = 15/1 x 19/3 = 285/3 = 95 53. You have $100 to spend. You pick out two items to purchase. The first item is $64.57. The second item is $26.82. If you buy both of these items, how much money will you have left? - ANSWER The two items total $91.39 ($64.57+$26.82=$91.39) you have $100-$91.39=$8.61 left. 54. The Roman numeral MCMLXVII is equivalent to which Arabic number? - ANSWER M stands for 1000 C for 100 L for 50 X for 10 V for 5 I for 1 The MCM stands for 1900 (putting the C before the M means subtract 100 from 1000). The LXVII stands for 67 (50+10+5+2) 55. A woman has 8 black shoes, 5 brown shoes, 2 red shoes, and 5 boots. What percentage of her collection is boots? - ANSWER Since she has 20 overall items in her collection, boots make up 25% of her collection (5/20=25%) 56. A nurse's shift in a military hospital is from 1400 to 2100. What time of day does the nurse work? - ANSWER Military time is based on a 24 hour clock. To convert from military time to standard time, simply subtract 1200 from the time. is 2 pm. 57. . If Andy runs five times as long as Jake and Jake runs 24.5 miles each week, how many miles does Andy run in a day? - ANSWER 17.5 miles 58. Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets? - ANSWER 27 hours 59. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month? - ANSWER 460 vacumns