1.
Find the ratios of the following rectangles:
a.
10x20 b. 5x30 c. 4x5 d. 3x18
e.
7x5 f. 8x4 g.
4x8 h. 4x12
2.
Which two of the above rectangles are congruent, but rotated 90o. Which two are dilations of each other?
3.
What is the probability that if you roll three dice that all
three will have a five or better?
4.
If you have a bag of 200 marbles with 70 green, 60 red, 50
yellow, and 20 blue, what would be the probability that you would draw one blue
marble? What would be the probability
that you would draw four blue marbles in a row?
5.
If you have a roof that rises three feet for every four feet it
goes in, what would be the height of the roof at its tallest if the center support
for the roof is 16 feet in from the edge?
6.
What would be the length from the edge of the roof to the top
center of the roof? Remember the Pythagorean
theorem.
7.
If you captured and tagged 200 deer in 2003 and went back and
captured 200 more in 2004 and found that 47 of these deer were tagged, how many
deer would you say lived in the area where you were tagging? If you tagged the remaining deer you just
captured, how many deer are now tagged for future research?
8.
If you sample fifty light bulbs out of a production of 2000 and
find 3 defective light bulbs, what would be the total number of defective light
bulbs? If you could expect a 2% margin
of error, what would be the expected range of defective light bulbs?
9.
What are similar polygons?
If you have a scale model of a building at 1:24 scale and the model had
two walls 10” and 15” respectively, what would be the sizes of the two real
walls?
10.
You want to calculate the height of a structure. A meter stick makes a shadow of 0.3
meters. The building makes a shadow of
25 meters. How tall is the structure?
11.
If a ball is dropped from six feet and has a bounce ratio of 0.95,
how high will it bounce on its third bounce?
12.
If a wheel has a diameter of 10 centimeters, what would be its
circumference? What would be the area
of its face?
13.
If the same wheel had a width of 3 centimeters, what would be
its volume?
14.
What is a direct variation?
What is the general formula for a direct variation? If a slope passes through the points (0,5)
and (2,9), what would be its direct variation formula?
15.
If a 10 inch diameter pizza costs $10.95 and a 14 inch diameter
pizza costs $14.95, which is a better deal?
16.
If Print-It charges you a set-up fee of $3.00 and $0.02 a copy
and Copy-It charges no set-up fee and $0.05 a copy, when would it be cheaper
for you to use Print-It instead of Copy-It?
17.
If the height of a TV set is 12 inches and the diagonal is 20
inches, what is the width of the TV?
18.
If a parachutist is equally likely to hit any spot in a field
that measures 200 feet by 100 feet, what is the chance they will hit a circle
that has a 10 foot radius?
19.
What is the surface area of a box that is 10 cm x 20 cm x 5 cm?
20.
A cone has a base radius of 6 cm and a height of 10 cm, what is
its volume?
21.
What did you like best about this class during the year?
22.
What did you learn, that you did not know previously, in this
class?
23.
Do you have any suggestions on how to make this class better?
24. What plans do
you have for this summer? Will you be
doing anything in which you could do any mathematical calculations that you
learned this year?
25. What are your
plans for next year?