HESI A2(Mc Hill) Math : practice 1
Danny has 11 1/4 cups of chocolate syrup. He is going to make chocolate sundaes for his friends. Each sundae will have 3/4 cup of chocolate. How many sundaes can Danny make?
11 1/4 ÷ 3/4 15
How many cups are there in 2 gallon?
32 cups 1 cup=8 ounce 1 gallon=128 ounces 1:128=2:x x=256 x:256=1:8 8x=256 x=32
The nursing staff is currently composed of 20 female and 5 male nurses. Over the next year, the clinic hopes to increase the male nursing staff to equal at least 25% of the nursing staff. If everyone now working retains his or her job, what is the least number of people the clinic will need to hire? (numeric value)
5/25=20% 6/26=23% 7/27=25% 7-5=2 : hire 2 people
If a discount of 25% off the retail price of a desk saves Mark $45, how much did he pay for the desk? A. $145 B. $160 C. $180 D. $210
C. $180
which of the following is not a rational number? a) -4 b) (1/5) c) 0.833 d) rute 2
D (which cannot be written in the form of fraction)
Morris went shopping with four $20 bills. He spent $24.17 at the hardware store and $32.87 on clothes. How much money did he have left? a) $ 22.96 b) $42.96 c) $54.04 d) $23.04
a) $ 22.96 4 x $20-($24.17 + $32.87)
A tablet contains 0.52g of vitamin A. Convert the amount of vitamin A in the tablet to mg a) 520mg b) 52 mg c) 5200 mg d) 5.2 mg
a) 520mg 1000 mg =1g
A half cup serving of sliced peaches has 18 g of sugar. How many g of sugar are in 2 cups of sliced peaches? a) 18g b) 72g c) 36g d) 9g
b) 72g 0.5: 18=2:x 0.5x=36 x=72
After a 20% discount, Frank purchased a new refrigerator for $850. How much did he save from the original price? a)$170 b)$212.50 c)$105.75 d)$200
b)$212.50 850: x=80:100 x=1062.5 1062.5-850=212.50
If property taxes are figured at $1.5 for every $100 in evaluation, what taxes will be paid on a home valued at $ 85000? a) $567 b) $12750 c) $1275 d) 5670
c) $1275 1.5: 100=x:85000 100x=127500 x=1275
An investor believes she will make $12 for every $100 she invests. How much she expect to make on a $1500 investment? a) $125 b) $112 c) $180 d) $120
c) $180 1500 ÷ 100=15 15 x 12= 180
How many milliliters are in 1 Liter? a) 100 b) 30 c) 1000 d) 3000
c) 1000
A plan for a house is drawn in a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the build living room? a) 45 feet b) 25 feet c) 15 feet c) 12 feet
c) 15 feet 1 feet=12 inch 1:12=x:4.5 inch 12x=4.5 x=0.375 1:40=0.375:x x=15
How many kilometers are there in 12 miles? a) 7.5 miles b) 13.2 miles c) 19.2 miles d) 22 miles
c) 19.2 miles 1 mile=1.6 km 12 x 1.6 = 19.2
The number 4 is 20 % of what number(enter numeric value only)
4÷0.2(20%) = 20
A bottle contains 712 mL of cleaning fluid. convert the volume to L. a) 71.2 L b) 71,200 L c) 7.12 L d) 0.712 L
d) 0.712 L
Kenna lost an average of 1.1 pounds per week for an entire year. How much weight did she lose? (round to the nearest whole number) a) 47 lb b) 53 lb c) 46 lb d) 57 lb
d) 57 lb 1.1 x 52 week/year
How many meters long is a 100 yard dash? a) 109.4m b) 9.14m c) 1094m d) 91.4m
d) 91.4m 100 yard x (0.914m/1 yd)
Alec has six friends who each give him 2 3/4 pieces of gum. How many pieces of gum does Alec have now?
6 x 2 3/4 16 1/2
How many centimeters are in milliliter? a) 10 b) 100 c) 1000 d) 1/10
d) 1/10
How many centimeters are there in 1 foot? a) 4.72 cm b) 10 cm c) 25.4 cm d) 30.48 cm
d) 30.48 cm 1 meter: 3.28 feet 1 : 3.28 = 1 : x x= 0.304878.... meter to centimeter= 1 : 100 0.304878 x 100 = 30.48 12 x 2.54 = 30.48 cm
Rick rides 11 1/8 miles in an hour with his bike in second gear going uphill. If Rick rides downhill in fourth gear he goes 2 1/2 times faster. How many miles will Rick go in an hour downhill in fourth gear?
11 1/8 x 2 1/2 27 13/16
At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses 3/4 of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left? a) 4 b) 6 c) 2 d) 1
20/2=10 10-6=4 (1-3/4) x 4=1
Patient X usually ingest about 2000 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? (numeric value)
2000 x 0.2(20%)= 400 2000- 400= 1600 calories/day 1600 x 7 = 11,200 calories
The budget for hospital renovations is $2(1/2) billion. The hospital will receive 2/5 of the funding from local charity. How much will be donated by the charity? a) $1 billion b) $1(1/5) billion c) $1(1/2) billion d) $2 billion
a) $1 billion 2(1/2) x 2/5
Maria's salary is $1975 per month. Taxes and insurance taken out of her check total 35%. What is Maria's take-home pay? a) $1283.75 b) $1940 c) $1175 d) $691.25
a) $1283.75 1975-(1975 x 34%)
Simplify the following expression (9 + 6) x (2 - 5) a) -45 b) 45 c) 25 d) 16
a) -45
convert 6.5 feet to meters. Round the answer to the nearest hundredth a) 1.98 m b) 198 m c) 78 m d) 7.8 m
a) 1.98 m 6.5ft x (0.3048m/1ft)
Adam is painting a 4 walled shed. The shed is 5 feet wide, 4 feet deep, and 7 feet high. How much paint will Adam need? a) 126 ft2 b) 140 ft2 c) 63 ft2 d) 46 ft2
a) 126 ft2 A=2(5ft)(7ft) + 2(4ft)(7ft) =70 + 56=126
The dosage for a certain medication is 2 milligrams per kilogram. What dosage should be given to a patient weighting 165 pounds? a) 150 mg b) 250 mg c) 132 mg d) 50 mg
a) 150 mg 1 kg: 2.2 pound 1: 2.2=x:165 2mg: 1kg= x: 75 2.2x=165 x=150 x=75
How much saline solution is needed to fill 24 bottles that each hold 0.75 liter? a) 18L b) 32L c) 24L d) 6L
a) 18L 24 x 0.75 = 18
Write 2.75 as a mixed number in lowest terms a) 2(3/4) b) 2(5/7) c) 2(1/5) d) 2(3/5)
a) 2(3/4)
A rat can finish a maze in about 3 minutes. If a small backpack is put on the rat so it reduces its speed by 50%, how much longer will it take the rat to finish the maze? a) 3 minutes b) 6 minutes c) 10 minutes d) 12 minutes
a) 3 minutes
If a rectangular field has a perimeter of 44 yards and a length of 36 feet, what is the field's width? a) 30 feet b) 28 yards c) 18 feet d) 42 feet
a) 30 feet 1 yard = 3 feet 44 yards= 132 feet 132= 2(length) + 2(width) 132=2(36)+2 width 132-72/2= 30
There were 135 people in an auditorium. If the auditorium was 45% full, how many seats are in the auditorium? a) 300 seats b) 608 seats c) 180 seats d) 500 seats
a) 300 seats 135 x 0.45= 300 135: 45%=x:55% x=165 165+135=300
A man's waist measurement is 88.9 centimeters. What is his waist in inches? a) 35 in b) 40 in c) 225 in d) 22.5 in
a) 35 in
Joe's doctor has directed him to take 5 units of insulin before breakfast and 10 units of insulin before dinner each day. How many units if insulin will he need for a 30 day supply? a) 450 units b) 15 units c) 300 units d) 150 units
a) 450 units 5(breakfast) + 10(dinner) = 15 units/day 15 x 30=450 units
Given the numbers 5.63, 5.6 and 5.627, find the sum of the two with larger decimals decreased by the one with the smallest decimal. a) 5.657 b) 5.297 c) 5.603 d) 16.857
a) 5.657 (5.63 + 5.627)-5.6 =5.657
Eduardo has made 24(1/2) ounces of homemade tomato sauce. How many 3(1/2) ounce jars can he fill? a) 7 jars b) 8 jars c) 12 jars d) 6 jars
a) 7 jars 24(1/2)÷3(1/2)=49/2 x 2/7= 7
If I3x + 2I=5 which of the following options gives us the correct values of x? a) {1,(-7/3)} b) {-1,(7/3)} c) {3,7} d) {(7/3), (3/7)}
a) {1,(-7/3)}
A car dealer sells an SUV for $ 39000 which represents a 25% profit over cost. What was the actual cost of the SUV to the dealer? a) $29,250 b) $31,200 c) $32,500 d) $33,800
b) $31,200 First of all, you should know that 25% profit on the actual price means that we have multiplied the original price by 1.25(1+0.25) find the actual price of the SUV, we divide it by 1.25 39000/1.25= b) $31,200
In their first year of business, a small company lost $2100. The next year, the company recorded a profit of $11200. What was the company's average profit over the two years? a) $5650 b) $4550 c) $9100 d) $11300
b) $4550 -2100 + 11200=9100 9100÷2=4550
Lance makes $11.35 an hour and earns time and half pay for every hour over 40. If Lance worked 47 hours this week, about how much will his paycheck be? Round to the hundredth place a) $454 b) $573.18 c) $521.37 d) $546.24
b) $573.18
Simplify the following expression: -10 + 15 ÷ (-5) x 3*2 -10*2 a) -48 b) -137 c) -91 d) -73
b) -137
solve: x/4 - 1/3=7x/12 + 5/6 a) 3/2 b) -7/2 c) -3 d) 7/3
b) -7/2
A snail moves about 0.029 miles per hour. Convert its speed to inches per second. a) 0.23 in/sec b) 0.51 in/sec c) 5 in/sec d) 2 in/sec
b) 0.51 in/sec 0.029 mi/hr x 5280ft/mi x 12 in/ft x 1 hr/3600 sec
A team from the highway department can replace 14 streetlights in 7 hours of work. If they work a 30 hour week at this job, in how many weeks will they replace all 120 downtown streetlights? a) 1 1/2 weeks b) 2 weeks c) 2 1/2 weeks d) 3 weeks
b) 2 weeks 14 ÷ 7hr = 2 hr/day(rate of work) 120 ÷ 2 hr/day = 60 hr 1 week or 30 hr 2 week
Eighty percent of the class passed with a 75 or higher. If that percent equaled 24 students, how many students were in the whole class? a) 18 b) 30 c) 36 d) 60
b) 30 24 ÷ 0.8(80%) = 30 or 80 : 24 = 20 : x x=6 6 + 24=30
The orthopedic post-surgery unit at smith hospital is 75% full. There are 36 patients in the unit. What is the capacity of the unit? a) 27 patients b) 48 patients c) 12 patients d) 45 patients
b) 48 patients whole=part/percent 36/0.75=48
In a scale drawing for a garden, 2cm=1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality? a) 2m by 3m b) 4m by 5m c) 8m by 10m d) 16m by 20m
b) 4m by 5m 2cm : 1 m= 8cm: x 2x=8 x=4m 2cm : 1 m=10cm:x 2x=10 x=5
Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses, if she has $1,545 left after that, how much is her monthly paycheck? a) $2,175 b) $2,250 c) $2,575 d) $2,650
c) $2,575 10 + 30 =40 % 100-40 = 60 % of actual number is $1545 what is actual number of 60% of 1545? part/whole = %/100 1545/x=60/100 60x=154500 x=2575
A national hockey league store in the state of Michigan advertises 50% off all items. Sales tax in Michigan is 6%. How much would a hat originally priced at $32.99 and a jersey originally priced at $64.99 cost during this sale? Round to the nearest penny. a) $97.98 b) 103.86 c) $51.93 d) $48.99
c) $51.93 tax=6%=0.06 sale=50%=0.5 hat=$32.99 jersey=$64.99 hat sale= 0.5(32.99)=16.495 jersey sale=0.5(64.99)=32.495 16.495+32.495=48.99 48.99+(48.99x0.06)=$51.93
In a scale drawing for toy rocket, 1 inch=6inches. If the rocket is 6 inches tall on the drawing, how tall will be in reality? a) 1 foot b) 6 feet c) 1 yard d) 2 yards
c) 1 yard 1 inch=6inches 6inches=36 inches 1 foot=12 inches (36/12=3 foot) 1 yard = 3feet
The recommended dosage of a particular medication is 4 mL per 50 lb of body weight. What is the recommended dosage for a person who weights 175lb? a) 25mL b) 140mL c) 14mL d) 28mL
c) 14mL 4:50=x:175 50x=700 x=14
The price of a movie ticket increased from $9.75 to $11.50. Find the percent increase. Round your answer to the nearest tenth of percent a) 84.8% b) 22% c) 17.9% d) 15.2%
c) 17.9%
John lost 10% of his body weight. If he now weight 171 pounds, how much did he weigh originally? a) 154 lb b) 210 lb c) 190 lb d) 181 lb
c) 190 lb 100% -10%=90% 171/0.9=190
A dietician has directed an underweight patient to increase her calorie intake by 675 calories per day. If the patient was eating an average of 1250 calories per day, what should her new daily calorie target be? a) 1875 cal b) 2000 cal c) 1925 cal d) 2200 cal
c) 1925 cal 675 + 1250
The average rainfall in May for Austin, Texas, is 4.5 inches. In July, the average rainfall is 1.67 inches. How much more precipitation falls on average in May than in July. a) 1.22 in b) 2.97 in c) 2.83 in d) 6.17 in
c) 2.83 in 4.5 -1.67=2.83
In Downsville, a bus token cost 25¢ in 1990. This year, a bus token cost 75¢. What is the percentage of increase in the cost of the taken? a) 50% b) 75% c) 200% d) 300%
c) 200% 75¢ -25¢ =50¢ 25¢ ÷ 50¢= 2 200 %
If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale? a) 18 C b) 24 C c) 28 C d) 50 C
c) 28 C C= (F-32) x 5/9 {F= (Cx9/5) + 32} C= (82-32) x 5/9 = 50 x 5/9 = 450/9 x 5/9 = 2250/81 = 27.77777 round it = 28
In his stamp collection, Bruno has 15 more stamps from Europe than Africa, and 18 more stamps from Asia than from Africa. If he has 27 stamps from Europe, how many Asia stamps does he have? a) 12 b) 22 c) 30 d) 40
c) 30 Europe 15 more than Africa Asia 18 more than Africa Europe is 27 stamps 27 - 15 = 12 Africa 12 + 18 =30
A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan? a) 80 inches by 100 inches b) 40 inches by 50 inches c) 4.8 inches by 6 inches d) 4 inches by 5 inches
c) 4.8 inches by 6 inches 1 feet=12 inches 4 feet x 12 = 48 5 feet x 12 = 60
If the average person drinks ten 8 oz glasses of water each day, how many oz water will she drink in a week? a) 80 oz b) 700 oz c) 560 oz d) 70 oz
c) 560 oz ten 8 oz (10 x 8oz) x 7 days = 560
Sarah works 22(1/2) hours per week, which she splits between two departments. Sarah spends 1/3 of her hours working for the marketing department. How many hours per week does Sarah work for marketing? a) 6(1/3) hr b) 7hr c) 7(1/2)hr d) 8(2/3)hr
c) 7(1/2)hr 22.5 ÷ 3(because 1/3)
If three lengths of cooper wire, 6(2/5) feet each, are cut off a 100-foot roll of copper wire, how much wire is left on the roll? a) 19(15) ft b) 93(3/5) ft c) 80(4/5) ft d) 81(1/5) ft
c) 80(4/5) ft 3 x 6(2/5) =3/1 x 32/5=96/5=19(1/5) 100-19(1/5)=500/5-96/5=400/5 =80(4/5)
At the concession stand, Joanie bought a hot dog for $1.25, popcorn for $1.35, and a drink for $2. She paid with a $5 bill. What is the least number of coins she could have received as correct change? a) one b) two c) three d) four
c) three $1.25 + $1.35 + $2 = 4.6 5-4.6=0.4 (1 dollar: quarter 1/4) a quarter(25¢), dime(10¢), nickel(5¢)
Store brand coffee beans cost $1.23 per pound. A local coffee bean roaster charges $1.98 per 1 1/2 pounds. How much more would 5 pounds fro the local roaster cost than 5 pounds of the store brand? a) $0.55 B) $1.55 c) $1.45 d) $0.45
d) $0.45 store coffee = $ 1.23/lbs local roaster coffee = $ 1.98/1.5 lbs $1.23/1lbs x5 lbs = $6.15 $1.98/1.5lbs=$6.60 $6.60-$6.15=0.45
Callie makes 2% interest quarterly on a deposit of $100. After a year, about how much is in her account? a) $102 b) $104 c) $106 d) $108
d) $108 2 % interest quarterly(4 times a year) 100 x 0.02(2%) = 2 2 x 4=8 100 + 8 = 108
Mary pays $0.187 per kilowatt-hour for electricity at his business. Find the cost of electricity for month in which the business uses 927 kilowatt-hours a) $111.40 b) $741.00 c) $495.72 d) $173.35
d) $173.35 0.187 x 972
Beth spends $550 per month on rent which is 25% of her budget. What is Beth's total budget? a) $1375 b) $2500 c) $1650 d) $2200
d) $2200 whole = part/ percent 550/0.25=2200
A bank account is $20 overdrawn. The bank charges the customer a $25 overdraft fee. What is the bank account balance now? a) -$15 b) $15 c) $5 d) -$45
d) -$45 -20 +(25)
A skateboard is moving down the sidewalk at 15 feet per second. What is his approximate speed in miles per hour? a) 30.7 mph b) 22 mph c) 15.9 mph d) 10.2 mph
d) 10.2 mph (15ft/sec) x (3600sec/hr) x(1mile/5280ft)
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? a) 20 b) 40 c) 80 d) 100
d) 100 10 ÷ 2 =5 20 x 5 = 100
There are 453.59 grams per pound. An infant weighs 6,577 grams. What is the weight of the infant in pounds and ounces? a) 14 lb 5 oz b) 14 lb 6 oz c) 29 lb 8 oz d) 14 lb 8 oz
d) 14 lb 8 oz
simplify the following expression 15 ÷ 3 x 5-10 a) -15 b) -9 c) -25 d) 15
d) 15 15 ÷ 3=5 5x5=25 25-10=15
A pregnant woman arrives at the hospital at 1:00pm. After five and a half hours, she delivers a healthy baby boy. What time of birth will be recorded in the chart? a) 0630 b) 1230 c) 1630 d) 1830
d) 1830
The bill for a gallbladder surgery was $9400. Insurance paid $6500, and the patient was responsible for the rest. What percent of the bill did the patient have to pay? a) 70% b) 80% c) 20% d) 30%
d) 30%
A doctor advises her prediabetic patient to decrease his sugar consumption by 25%. If he currently consumes 40g of sugar per day on average, how many grams of sugar per day should he have now? a) 10g b) 16g c) 24g d) 30g
d) 30g
The distance from Boston to New York city is 215 miles. Convert the distance to kilometers. (round to the nearest whole number) a) 108km b) 134km c) 400km d) 346km
d) 346km 215 mi x 1.609 = 346
Felicia has earned 57.5 hr of sick leave. Assuming she works 8 hr shifts, how many days of sick leave has she earned? (round to the nearest tenth) a) 460 days b) 59.5 days c) 72 days d) 7.2 days
d) 7.2 days 57.5 ÷ 8= 7.1875
Mom's car drove 72 miles in 90 minuets. How fast did she drive in feet per second? a) 0.8 feet per second b) 48.9 feet per second c) 0.009 feet per second d) 70.4 feet per second
d) 70.4 feet per second 1 mile = 5280 feet. 1 minute=60 second 72/90 x 5280/1 x 1/60 x=70.4
If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? a) 56 F b) 62 F c) 66.5 F d) 71.6 F
d) 71.6 F F=(C x 9/5) + 32 F=(22 x 9/5) + 32 =(110/5 x 9/5) + 32 =(990/25) + 32 =990/25 + 800/25 =1790/25 =71.6
On a map, 1 inch represents 22 miles. If 2 towns are 4.5 inches apart on the map, what is the actual distance between them? a) 50 mi b) 44mi c) 90mi d) 99mi
d) 99mi 1:22=4.5:x x=22 x 4.5 x= 99
Molly's headband broke, and her hair is falling in her face. She has 4 pieces of ribbon to choose from. She needs to choose the piece the piece that can go around her 22 inch head. The piece must be at least 4 inches longer than her head so that she can tie a knot, but it cannot be more than 6 inches so that the ends will show through her hair. Which of the following pieces of ribbon will work best? a) 2 feet b) 2(3/4) feet c) 2(5/8) feet d) 2(1/3) feet
her head is 22 inches and need extra 4 inches so 26 inches d) 2(1/3) feet=28 inches a) 2 feet=24 inches b) 2(3/4) feet=33 inches c) 2(5/8) feet=31.5 inches d) 2(1/3) feet=28 inches
