HESI MATH
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 - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS 2.1
If Larry can wash 50 cars in 1/2 hour, how long will it take him to wash 80 cars? - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS
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? - ANS 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? - ANS 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? - ANS 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
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 - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS 2.1
If Larry can wash 50 cars in 1/2 hour, how long will it take him to wash 80 cars? - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS 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? - ANS
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? - ANS 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? - ANS 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? - ANS 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
