# Workkeys – Level 5 Math Percentages and Perimeters

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```					Workkeys – Level 5 Math
Percentages and
Perimeters/Areas
How to solve the problem?
when solving the problem:
1. What is the problem asking?
2. What are the facts?

Last step is to:
Set up and solve the problem.
Find the percentage described to
the nearest whole number.
• 365.9 is what percent of 987.7?

365.9 / 987.7 => .3704566 => 37%
Find the percentage described to
the nearest whole number.
• 598.9 is what percent of 864.5?

598.9 / 864.5 => .6927703 => 69%
Find the percentage described to
the nearest whole number.
• 253.5 is what percent of 295.9?

253.5 / 295.9 => .8567083 => 86%
Find the percentage described to
the nearest whole number.
• 16.9 is what percent of 810.6?

16.9 / 810.6 => .0208487 => 2%
Find the percentage described to
the nearest whole number.
• 451.3 is what percent of 533.6?

451.3 / 533.6 => .8457646 => 85%
Find the percentage described to
the nearest whole number.
• 58.5 is what percent of 615.7?

58.5 / 615.7 => .0950128 => 10%
Find the percentage described to
the nearest whole number.
• 451.3 is what percent of 533.6?

451.3 / 533.6 => .8457646 => 85%
A zoo has a circular pool for its seals. How
much fence is required to enclose the
pool if the diameter of the pool is 32 feet?

• Asking: How much fence if
required to enclose pool with a
diameter of 32 feet?
• Facts: ¶ (pi) is 3.14
• Set up and solve:
3.14 x 32 = 100.48 feet
An athlete runs around a circular track. The track has a
diameter of 200 feet. How many laps around the track
must she take to travel one mile (5,280 feet)?
• Problem asking? How many laps are taken to travel one mile.
• Facts? Track diameter = 200 feet
One mile is 5,280 feet
• Set up:
c = pi x d = 3.14 x 200ft = 628 ft
1 lap = n laps
628ft     5280ft

628n = 5280

n = 8.4 laps which tells us that she must do 9 laps for 1 mile.
A banstand in the shape of a circle is to be 21 feet across.
How many square feet of flooring will be required?

• Asking? How many square feet of flooring
required.
• Facts: Shape of floor is a circle.
Floor is 21 feet across.
• Set up:
Square feet means area
A = pi x r2
d = 21ft, r = 21ft/2 = 10.5ft

A = 3.14 x [(10.5) x (10.5)]
A = 346.185 (round to 346.19)
The top of an auto piston is a circle with a diameter that
measures 8.4 centimeters. What is the area of the top of
the piston?

• Asking: What is the area of the top of the
piston.
• Facts: Diameter measures 8.4 cm
• Set up:
Area = pi x r (squared)
r = d/2 = 8.4cm/2 = 4.2cm
A = 3.14 x [(4.2) x (4.2)]
A = 55.39 sq-cm
A gallon of paint covers 59 square yards. How many
gallons of paint will be needed to cover a circular floor
that is 24 yards in diameter?
• Asking: How much paint is needed to cover floor?
• Facts: One gallon cover 59 sq-yds.
Circular floor with diameter 24 yds.
• Set up:
Area = pi x r(squared)
r = d/2 = 24/2 =12 yds
A = 3.14 x [(12 yds) x (12yds)] = 452.16sq-yds

Use cross multiplication:
1 gal     = n gal
59 sq-yds    452.16 sq-yds

59n = 452.16n = 7.7 gallons
(round to 8 because you cannot buy less than a gallon)
How much framing material would you have to buy to
make the frame shown? Ignore any wasted material.

27 cm

21 cm
What is the perimeter of the track of land
containing a lake, as shown?
A square quilt displayed at the Colonial Museum measured
425 cm on each side. How much binding did the quilt
maker use to bind the edges of the quilt?
Ignore any waste.
A glass company is to make a panel of glass for a front
door. What is the area of the glass panel if it is 120cm
long and 20 cm wide?
How much carpet is needed for a room that measures
11 feet by 18 feet? How much carpet is required?
You need to replace the molding around a floor that is 15
feet long and 25 feet 6 inches wide. The molding sells for
\$0.50 per foot. How much will the molding cost?
Which room is larger: Room 1 – measuring 9 feet by 11
feet.
Room 2 – mesauring 8 feet by 12 feet.
Which room is larger, and by how much?
How many pints of paint are needed to paint a wall 8
feet by 14 feet if a pint will cover 40 square feet? How
much paint is required for the wall?
In the diagram shown, you need to go from point A to point
B and cannot go inside the building, but must walk along
the side of the building. Which way is the shortest?
A fertilizer company recommends 6 pounds of fertilizer per
1,000 sq.ft. of lawn. How much fertilizer will be required
to fertilize an area 68 feet by 115 feet?
A carpet cleaner charges \$0.70 per square foot to clean
carpeting. In the next house he is going to clean, the living
room measures 18 feet by 24 feet.
How much would he charge?
You want to put sod on a yard that measures 100 feet by
60 feet. How many square feet of sod is required?