HESI MATH 2023 with complete solution questions and answers

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 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 ( 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? 5 ½ hrs 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? 6.66 0r 7 days 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? 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 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? 2.1 If Larry can wash 50 cars in 1/2 hour, how long will it take him to wash 80 cars? 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 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? 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. 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? 17.5 Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets? 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. 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? 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 A marathon runner is training for his next race. On his daily run he completes 21.6 mile and burns 2,274 calories. What is his rate of calories burned per mile? ... A baker can bake 4 cakes with 10 cups of sugar. If he has a 30 cup bag that is 1/2 full, how many cakes can he bake? If the 30c bag of sugar is 1/2 full, there are 15c left. If the baker can bake 4 cakes with 10 c, he can bake 2 with 5. therefore, he can bake 2*3=6cakes If 6 textbooks cost $354, how much do 13 textbooks cost? if 6 textbooks cost $354, then 1 textbook costs: $354/6= $59. Since 1 textbook cost $59, 13 textbooks will cost $59* 13= $767 Jessie can answer multiplication problems at a rate of 6 problems every 20 seconds. If she has a 10-minute test with 175 questions on it, will she finish in time? If Jessie can answer 6 questions in 20 seconds, and there are 60 seconds in a minute, she can answer 36=18 questions each minute. Since the test is 10 minutes long, she can answer 1018=180 questions. therefore, she will finish the 175-question test and could even complete 5 more If an apple weighs about 170 grams, then about how many apples are in a 3.5 kilogram bag of apples? round your answer to the nearest whole apple. 21 A bookstore has 50% more fantasy books than biographies. What is the ratio of fantasy books to biographies? If there are 50% more fantasy books than biographies, then we can create false numbers and say that if there are 100 biographies, there will be 150 fantasy books. The ratio of fantasy books to biographies, then, is 150: 100. dividing by 50, the ratio simplifies to 3:2 If M is 2.2 meters tall, then how many kilometers tall is he? how tall is he in feet (to the nearest inches)? use the fact that 1mL = 39.37inches. 7.216 ft two buildings in downtown Chicago stand across the river from each other. The first buildings height is 1,700ft and it casts a shadow that is 525ft long. If the second building's height is 1,450 feet, how long will its shadow be at the same time of the day (round to the nearest foot0? If the height of the first building is 1,700ft while its shadow is 525ft, and the second building's height is 1,450ft tall, it sets up this proportion: 1,700/525=1,450/x. By cross multiplying and solving for x we find: 1,700x=761,250; x=448ft long, A baker can bake 4 cakes with 10 cups of sugar. If he has a 30c bag that is 1/2 full, how many cakes bake? If the 30c bag of sugar is 1/2 full, there are 15c left. If the baker can bake 4 cakes with 10 c, he can bake 2 with 5. therefore, he can bake 2*3=6cakes How many fluid ounces are in 2 1/2 gallons 320 0z How many ml are in 6 liters 6000mL How many grams are in 4 kilograms 4000 grams A ride requires you to be 48 inches what height would you have to be in feet to ride it 4ft . The physician tells a woman who usually drinks 5 cup of coffee daily to cut down her consumption by 75%. If this complaint with physician's instructions, how many ounces of coffee is she allowed daily? I got 3.75. The answer is 10. It's asking for ounces so you have to convert cups to ounces first. 5 cups times 8 ounces is 40 ounces. She's allowed 25%, so 40 ounces times .25 10 ounces A library contains 67, 982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the fiction section? 34,161 There is 48 students in a class. 7 out of 8 are females what percent are females. 87% There is a school that has 6,190 students there is already 216 how many more teachers are needed? 29 more teachers John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was his average speed for the whole journey? 54 mph was the average speed How many ounces are in 3 gallons? 384 There is 7 girls and each girl has 7 cats, how many legs are in the group? 210 legs 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? 60% In a certain class, the ratio of passing grades to failing grades is 8: 4. How many of the 36 students passed the course? Solution. The given ratio of passing grades to failing grades tells us that for each 8 students in the class who passed the exam, there are 4 other students who failed the class. Notice that that we can write 36 = 12 + 12 + 12 = '8 + 4) + '8 + 4) + '8 + 4) = '8 + 8 + 8) + '4 + 4 + 4) = 24 + 12 So, the number of students who passed the course is 8 + 8 + 8 = 24. Answer. The right answer is E. 24 Mike bought a pen that was priced at $6.95, and the total bill was $7.64. What is the sales tax rate in this country? Mike bought a pen that was priced at $6.95, and the total bill was $7.64. What is the sales tax rate in this country? Solution. The amount of sales tax for a pen paid in dollars is: 7.64 − 6.95 = 0.69 Let A be the sales tax rate in this country. Then: 0.69 = A% ^_ 6.95 = A 100 ⋅ 6.95 Solve for A: 100 6.95 ⋅ 0.69 = 100 6.95 ⋅ A 100 ⋅ 6.95 10 ≈ A Answer. The right answer is $. 10% Mike decided to renew the paint of the kitchen and the living room. To paint the kitchen, he spends can of paint less than for the living room. If he spends can of paint for the living room, then how much did he spend for the kitchen? If Mike spend can of paint for the living room and can of paint less for the kitchen than for the living room, then he spends: 3 4 − 2 5 55 can of paint for the kitchen. Notice that we have the difference of two fractions with different denominators. Step 2. Find the least common denominator. We need to list multiples of 4 and 5: 4, 8, 12, 16, 20, . .. 5, 10, 15, 20, 25, . .. We can see from above two lists that the least common multiple of 4 and 5 is 20. So, the least common denominator of two fractions and is 20. Step 3. Convert and into their equivalent simple fractions with the common denominator equal to 20 and calculate their difference: 3 4 − 2 5 = 5 5 ⋅ 3 4 − 4 4 ⋅ 2 5 = 15 20 − 8 20 = 7/20 Answer. The price for bananas was 75 cents per pound over last month. Today, we see that it's been marked up to 81 cents per pound. What is the increase in percent? The increase of price for bananas in cents per pound is: 81 − 75 = 6 Let the increase in percent be A. Then: 6 = A% ^_ 75 = A 100 ⋅ 75 Solve for A: 100 75 ⋅ 6 = 100 75 ⋅ A 100 ⋅ 75 8 = A Answer. The right answer is E. 8% Susan spent $10 on fruits in a local market. If she bought 2 bags of oranges for $3.99 per bag and about 5 pounds of bananas, then what was the price of bananas? Let the price of bananas per pound be 5 dollars. If he spends 55 dollars on 5 pounds of bananas and $8 on two bags of oranges, then we have the following equation: 55 + 8 = 10 Let's solve this equation by isolating 5 on the left-hand side (LHS) of the equation. The right answer is &. 40 cents per pound At a hospital, 40% of the nurses work in labor and delivery. if 20 nurses work in labor and delivery. how many nurses work at a hospital? ... Two weeks ago, 2/3 of the patients at a hospital were male. last week 3/6 of the 80 patients were male. during which week were there more patients? ... Jane ate lunch at a local restaurant. she ordered a $4.99 appetizer, a $12.50 entree, and a $1.25 soda. if she wants to tip her server 20%, how much money will she spend in all? ... what is 14.5% of 96? ... According to a hospital survey, 82% of nurses were highly satisfied at their job. Of 145 nurses, how many were highly satisfied? ... A patient was given 40mg of a certain medicine. later, the patient's dosage was increased to 45mg. what was the percentage increase in his medication? ... During a shift, a new nurse spent five hours of her time observing procedures, three hours working in oncology department, and four hours doing paperwork. during the next shift, she spent four hours observing procedures, six hours in the oncology department, and two hours doing paperwork. what was the percent change for each task between the two shifts? ... 1 & 2/5 × 5 7 2 & 1/7 × 1 & 3/4 3& 3/4 4 & 4/5 × 1 & 4/6 8 11 & 3/4 + 13 & 7/8 25 & 5/8 12 1/21 + 3 1/3 = 15 8/21 11 1/4 ÷ 3/4 15 12/15 ÷ 3/5 1 1/3 12 ÷ 2 3/8 5 1/19 How many ounces are in 19.02 pints? -there are 16 ounces in 1 pint. -16 × 19.02 = 304.32 CONVERT TO A RATIO: 0.075 -77/1000= 3/40 -3:40 A farmer has a flock of sheep. He has 15 white sheep, 4 brown sheep, and 1 black sheep. What is the percentage of brown sheep in his flock? 20 Donald earns 8% of the selling price of each house he sells. if he sells a house for $152,000, how much does he earn? $12,160 How many millimeters are there in 25 centimeters? 250 A plan for a house is drawn on a 1:40 scale. if the length of the living room on the plan measures 4.5 inches, what is the actual length (in feet) of the built living room? 15 feet The number 4 is 20% of what number? 20 what is 70% of 110? 77 98 is 175% of what number? 56 Express the ratio of 25:80 as a percentage. 31.25% A package of 10 pencils is divided between every 2 students in class. if there are 20 students in class, then how many pencils are needed? 100 A certain number is 7 less than the product of 18 and 4. what is the value of that number ? 65 If an outside temperature on a sunny day is 82 degrees on the fahrenheit scale, what is approximate temperature on the celsius scale? 28ºC In a scale drawing for a garden, 2cm =1m. If the garden measures 8cm by 10cm in the drawing, how large will it be in reality? (answer is in meters) 4m by 5m 18 is 25% of what number? 72 Callie makes 2% interest quarterly on a deposit of $100. After a year, about how much is in her account? $108 Patient X usually ingests about 2,000 calories daily. If Patient X is placed on a regimen that cuts that daily intake by 20%, how many calories will Patient X consume in a week? 11,200 How many teaspoons are there in 3 tablespoons? 9 teaspoons