HESI MATH 2021
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.
, HESI MATH 2021
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 Mr.tate 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 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.
, HESI MATH 2021
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 Mr.tate 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,
