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Math
Practice Problems for High School in Measurement HSM-55)
Answer:
$776,250. The
air above planet Zarz is thick with 258,750 soaring fi-lees. Unfortunately, fi-lees
must pay a yearly fee for using airspace. Infant fi-lees travel up to 10 miles
per day and pay a $1 fee; children travel up to 20 miles per day and pay a $2
fee; teenagers fly 31 to 50 miles per day and pay a $3 fee; adults travel over
50 miles per day and pay a $4 fee. The fi-lee fee collector says there are three
times as many teenagers as children, one-half as many adults as teenagers, and
one-fourth as many infants as children this year. How much money will the
collector get from the fi-lees this year? Explain
your answer in detail. HSM-54)
Answer:
Jumbo-14, Giant-15, Large-14, Medium-15, Small-14 On
the planet Pluto, the heater salesman has a very lucrative business.
This year, Mr. Hurox has added to his heater line and now carries the
jumbo heater for 16 trogs. (That is the equivalent of $23.40 in our currency).
He also has the giant heater for $18.35, the large-sized heater for $13.50, the
medium-sized heater for $8.65, and the small heater at $3.77.
So far this month Mr. Huron has sold 72 heaters for a total number of
trogs equal to $974.38. How many heaters of each size has he sold? explain
your answer in detail. HSM-53)
Answer: 33
inches squared If
you cut a cardboard tube, you will find that it is a rectangle. How much
cardboard is used in a tube if its length is 5.5 inches and its circumference is
6 inches. Explain
your answer in detail. HSM-52)
Answer:
Jim’s by 0.2 quarts The
owner’s manual of Donna’s car states that it has a capacity of 12.2 gallons.
Jim’s car has a capacity of 12 gallons and 1 quart. Which car has the greater
gasoline capacity and how many more quarts will it hold?
Explain
your answer in detail. HSM-51)
Answer:
18 feet by 16 feet. The
scale on a blueprint for a house is 1 inch to 4 feet.
If the dining room on the blueprint is 4.5 inches by 4 inches, what are
the dimensions of the actual room. Explain
your answer in detail . HSM-50)
Answer:
John could fill the 5 quart container, dump it into the 3 quart
container, and dump the remaining two quarts into the 10 quart container. Repeat
the process to obtain a total of 4 quarts. Christine
and John were stranded on a desert isle. Christine needed exactly 4 quarts of
water to prepare dinner. She gave John 3 unmarked containers of 10 quart, 5
quart and 3 quart capacity. How can John measure out exactly 4 quarts of water?
Explain your answer in detail. HSM-49)
Answer:
960 inches cubed Donna
asked Jim to measure the edges of a rectangular box and to leave the information
on her desk. On returning she found that Jim had left her the areas of the faces
of the box. Knowing that the edges each measured a whole number of inches, she
determined the length, width, and height of the box. If the areas were 120, 96,
and 80 square inches, find the lengths of the edges of the box. What is the
volume of the box? Explain
your answer in detail. HSM-48)
Answer: 8
1/2 miles Here
are the current rates for the Metro Taxi Company. $2.00 for the first half-mile.
45 cents for each additional quarter-mile ü
25 cents for each minute of waiting time . $1.00 additional after 6:00 P.M. .
$1.00 for each additional passenger. Mr. Robbins took a taxi from the airport to
his downtown hotel at 8:00 P.M. An accident blocked the highway for 10 minutes,
but otherwise the trip went smoothly. Mr. Robbins gave the driver $23.50, which
included a $3.60 tip. How far was the hotel from the airport? Explain
your answer in detail. HSM-47)
Answer: midnight In
the old west, Eric and his gang stole a wagon full of gunpowder from Fort
Laramie at 9:00 P.M. one night. They drove off at the rate of 16 miles per hour,
across the plains, and stopped after 2 hours to rest the horses. Unfortunately
for them, one of the powder kegs had a hole and left a trail of gunpowder all
the way back to the fort along their path. An hour after they stole the wagon, a
soldier discovered the trail and set it on fire. If the fire travels at the same
rate of 16 miles per hour, at what time was Eric jolted?
Explain your
answer in detail. HSM-46)
Answer: There probably is no "correct" answer to this problem.
Calculations show that the two costs are approximately the same. Two
couples are preparing for a summer trip from their home in Philadelphia to Rome.
Their plane leaves from Kennedy Airport in New York at 11:00 P.M., but they must
check in approximately three hours prior to departure. Their problem is how to
get from their home in Philadelphia to the airport in New York, a distance of
about 120 miles. They are considering two options-renting a car or using a
limousine service. Here's what they have found out: Car Rental: ü Flat rate of $78.00
each way ü
Insurance (optional): $14.95 each way ü
Tolls: $8.00 each way ü
Free unlimited mileage, but gasoline must be replenished Limousine Service: ü Flat rate of $25
per person each way ü
A gratuity of 15% is expected ü
The Limousine Schedule: (Leave Philadelphia - Arrive at Kennedy Airport) ü 8:00 A.M. - 11:00
A.M., 2:00 P.M. - 5:00 P.M., 5:00 P.M. - 8:30 P.M., 7:00P.M.- 10:00 P.M. If you
were making the trip, which way would you go? What would you do? Defend your
decision. Explain
your answer in detail. HSM-45)
Answer: 6
minutes The
Great Western Limited express train is exactly one kilometer long and is
traveling at 80 kilometers per hour. It passes through a tunnel that is 7
kilometers long. How long will it take the train to pass completely through the
tunnel? Explain
your answer in detail. HSM-44)
Answer: $6,500,000 A
professional basketball team has 12 players on its roster and a player payroll
of $20,000,000. Every player earns at least $500,000. Six of the players earn at
least $1,500,000 each. One player earns at least $2,500,000. The star center has
demanded at least $3,500,000. His demands must be met. What is the maximum
possible salary any one player can earn? Explain
your answer in detail. HSM-43)
Answer: 61 miles / hour A
mathematician on a train traveling from Atlanta to Miami was looking out the
window. She noticed a series of 10 telephone poles, which she knows are each 150
yards apart. She looks at her watch and notes that it takes exactly 45 seconds
to pass the 10 poles. What is the speed of the train to the nearest mile per
hour? Explain your
answer in detail. HSM-42)
Answer: 15 Mr.
Milou challenged the 15 students in his Statistics class with the following
problem. The first two students each choose a number. The third student chooses
the arithmetic mean of the first two numbers. Each successive student chooses
the arithmetic mean of the numbers selected by all the students who have gone
before. What is the number chosen by the 15th student? Explain
your answer in detail. HSM-41)
Answer: There is no single "correct" answer You
have been offered a job. There are three possible salary plans to select from:
Plan A: A salary of $400 per week; Plan B: A salary of $200 per week plus 10
percent commission on all your sales; Plan C: A commission of 25 percent on all
your sales Which plan would you select? What would you do? Defend your decision.
Explain your answer
in detail. HSM-40)
Answer: If
"Hoops" plays in fewer than 20 games, contract #1 is the best. If he
plays in more than 20 games, but fewer than 27, contract #2 is the best. If he
plays in 27 or more games, contract #3 is the best. "Hoops"
Malone has his contract up for renewal. The team has offered him a choice of
three contracts: 1) $700,000 plus $5,000 for every game he plays 2) $600,000
plus $10,000 for every game he plays 3) $1,000,000 with a penalty of $25,000 for
every game he misses. The season consists of 32 games. Last season,
"Hoops" only appeared in only 12 games because of knee surgery. If you
were "Hoops" Malone, which contract would you take? What would you do?
Defend your decision. Explain
your answer in detail. HSM-39)
Answer:
40 HSM-38)
Answer:
12 HSM-37)
Answer:
50 cents less HSM-36)
Answer:
$75 HSM-35)
Answer:
6 o’clock HSM-34)
Answer:
6 HSM-33)
Answer:
Thursday HSM-32)
Answer:
24 mph HSM-31)
Answer:
4 ways
HSM-30)
Answer:
50 HSM-29)
Answer:
10:20 HSM-28)
Answer:
Tuesday HSM-27)
Answer:
N=3, D=6,
Q=1 HSM-26)
Answer:
11 HSM-25)
Answer:
28 HSM-24)
Answer:
made $10 HSM-23)
Answer:
12 HSM-22)
Answer:
60 minutes HSM-21)
Answer:
$7.85 HSM-20)
Answer:
Monday HSM-19)
Answer:
8:40 HSM-18)
Answer:
9:30 HSM-17)
Answer:
3 HSM-16)
Answer:
10:45 am HSM-15)
Answer:
17 nickels, 13 quarters HSM-14)
Answer:
2 hours 20 minutes HSM-13)
Answer:
made $10 HSM-12)
Answer:
$140 HSM-11)
Answer:
10 minutes HSM-10)
Answer:
96”
HSM-9)
Answer:
12 nickels, 4 dimes HSM-8)
Answer:
57
HSM-7)
Answer:
32 HSM-6)
Answer:
$300 HSM-5)
Answer:
$150 HSM-4)
Answer:
45 miles HSM-3)
Answer:
528 feet HSM-2)
Answer:
20 minutes HSM-1)
Answer:
Thursday
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