Application Problems

Problems that involve forming equal-sized groups can be solved by division

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QUESTION OF
Views #: 589
Questions #: 6
Time: 5 minutes
Pass Score: 80.0%
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Surfboard Designs

1 pts

Most surfboards are made of a foam core covered with several layers of fiberglass to keep them water-tight.  How many layers are needed to build up a finish \(\frac38\) of an inch thick if each layer of fiberglass has a thickness of \(\frac{1}{16}\) of an inch?

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Patio Furniture

1 pts

A production process applies several layers of a clear plastic coat to outdoor furniture to help protect it from the weather.  If each protective coat is \(\frac{3}{32}\)-inch thick, how many applications will be needed to build up \(\frac38\) inch of clear finish?

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Marathons

1 pts

Each lap around a stadium track is \(\frac14\) mile.  How many laps would a runner have to complete to get a 26-mile workout?

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Cooking

1 pts

A recipe calls for \(\frac34\) cup of flour, and the only measuring container you have holds \(\frac18\) cup.  How many \(\frac18\) cups of flour would you need to add to follow the recipe?

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Lasers

1 pts

A technician uses a laser to slice thin pieces of aluminum off the end of a rod that is \(\frac78\)-inch long.  How many \(\frac{1}{64}\)-inch-wide slices can be cut from this rod?

Assume that there is no waste in the process

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Underground Cables

1 pts

Refer to the illustration and table on the next page

  1. How many days will it take to install underground TV cable from the broadcasting station to the new homes using route 1? (1)
  2. How long is route 2? (2)
  3. How many days will it take to install the cable using route 2? (3)
  4. Which route will require the fewer number of days to install the cable? (4)

             [For (d) write the number only 1 or 2]

Proposal Amount of cable installed per day Comments
Route 1 \(\frac25\) of a mile Ground very rocky
Route 2 \(\frac35\) of a mile Longer than Route 1

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Explanation

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0
sin cos tan
sin-1 cos-1 tan-1 π e
xy x3 x2 ex 10x
y√x 3√x √x ln log
( ) 1/x % n!
7 8 9 + MS
4 5 6 – M+
1 2 3 × M-
0 . EXP ÷ MR
± RND C = MC
Keywords
Year 7