Workkeys – Level 5 Math Percentages and Perimeters

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					Workkeys – Level 5 Math
   Percentages and
   Perimeters/Areas
   How to solve the problem?
Ask yourself the following questions
   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?



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

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

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

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

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

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

• Answer:
  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?
• Are you ready for
  another worksheet?

				
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posted:5/10/2013
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