** Swimming Pool.** How much water is in an Olympic-size swimming
pool that is 50 meters long, 25 meters wide with flat areas 10 meters
long at each end, the shallow end being 1 meter deep, the deep end 4
meters? How much chlorine at 1.5 parts per million is required to make
the pool safe for swimming?

** Crossed Triangles.** Two triangles ABC and ADE share a common
angle at vertex A. AEB are collinear, with AE = 2 cm and EB = 3 cm.
ACD are collinear, with AC = 3. If P is the intersection of BC and DE,
and if BP = 4 cm, DP = PE = 2 cm, find the length of DC.

** Estimating Speed.** A car is driving with its cruise control
set on 60 mph, but it takes only 56 seconds to go from one mile marker
to the next. How fast is the car really going?

** In Between.** Find a number between the square root of ten and
the square root of 11. Between pi and 3.1456. Between .00009 and
.00019. Between 4/11 and 6/17. Between 2^16 and 3^10. Is there any
number between .99999... and 1.00000? How do you know?

** Roof Angles.** A rambler-style house with a 1/5 pitch roof has an
attached garage with a 1/4 pitch roof whose orientation is perpendicular
to the house. What is the angle of the gutter where the two roofs join?

** Carpet Cleaning.** A carpet cleaner needs to submit a bid on
cleaning the doughnut-shaped carpet in a revolving restaurant. He knows
only that the room is 24 feet wide and that the distance around the
inner hole is 144 ft. If he normally charges $50 plus $3.00 per
square yard, what bid should he submit?

** Losing Weight.** A store has 100 lbs of cucumbers that are 99%
water. After they sit in storage for a while some of the water
evaporates, so that then they are sold they are only 98% water. What do
they weigh when they are sold?

** Seeing the Horizon.** How far can you see from an airplane
flying at 36,000 feet?

** Road Grades.** What is the slope of a road that rises at a 6%
grade? How long does the road have to be to enable a car to climb 100
feet? What if the maximum allowable grade is 4%?

** Roofing.** A 30' x 60' rambler has a 3/12 pitch hip roof that
hangs over 4' on all sides. Find the area of the roof to determine how
many shingles to purchase.

** Pouring Concrete.** You have decided to build a 12' by 20'
deck, with the long side attached to your house. The outer edge will be
supported by four posts resting on cylindrical concrete piers whose
footings must be 48 inches below grade level to prevent frost heaves.
Standard design specifications for decks require that you allow 50 lbs
per square foot--10 for the deck, and 40 for people and furniture. If
the soil has a bearing capacity of 1500 lbs per square foot, how much
concrete do you need for the supporting piers?

** Chimney Skirts.** A round chimney 8" in diameter protrudes
from a roof that has a pitch of 1:2. Draw a pattern for an aluminum
skirt that can be cut out of sheet metal and bent into a cone to seal
the chimney against rain.