Geometry Problems

The geometry problems follow the same format on every Calculator test.
Problem Numbers 9, 10: Simple, usually one step, calculations involving circles, rectangles, triangles, trapezoids, squares, rhombus, etc.
Problem Numbers 19, 20: Right triangles featuring sin, cos, tan, and the pythagorean theorem.
Problem Numbers 29, 30: Simple calculations involving three-dimensional figures.(Frustrums, spheres, cones, pyramids)
Problem Numbers 39, 40: Inscribed and circumscribed circles, law of sines, law of cosines
Problem Numbers 49, 50: More complex three-dimensional figures, that may be combined to make one figure.
Problem Numbers 59, 60: Graphs using calculus and REALLY complex shapes.
Problem Numbers 69, 70: Straight from the Calculator Applications Study Guide available on the UIL

Unit Conversions

These are useful all throughout the Calculator test, along with the Math and Number Sense tests as well. It is best to have most of these conversions memorized. Although they are not asked for directly, these equations are necessary to complete many types of problems.

1 inch = 2.54 cm.
1 mile = 5280 ft.
1 sq. mile = 640 acres
1 acre = 43560 sq. ft.
1 acre = 4840 sq. yds.

1 teaspoon (tsp) = 1/6 oz.
1 tablespoon (tbsp) = 1/2 oz.
1 cup = 8 oz.
1 pint = 16 oz.
1 quart = 32 oz.
1 half gallon = 64 oz.
1 gallon = 128 oz.
1 cubic foot = 7.481 gallons (approx.)
1 liter = 1.0567 quarts (approx.)
1 pound = 16 oz.
1 pound = 453.59237 grams
1 ounce = 28.3495231 grams

Radius of the Earth = 3960 miles

Degrees Celsius = (Degrees Fahrenheit - 32 degrees)/9 = Kelvin - 273.15

Scalene Triangles

r = (s-c)*tan(C/2) = [(a+b-c)*tan(C/2)]/2
R = (abc)/4K
K = sqrt(s*(s-a)*(s-b)*(s-c))

Test Strategy

The best strategy for a beginner would be to focus on problems 1- 25. That's more than 1 minute per question. Although speed is a necessity, accuracy has more of an effect on your score. Whenever you practice, work on reducing the time you take on each number cruncher. KNOW YOUR CALCULATOR. I, Kevin, know just about every function on my HP and I'm trying to learn all of them for my N-spire. I am also trying to be able to finish all the number crunchers (35 in all) in under 10 minutes. It's been a while, but it would leave me at least 20 minutes to solve the stated and geometry problems.

Geometry

Frustum
R1=radius of lower base
R2=radius of upper base
s=slant height
h=altitude(height in center)
O=semicone angle(angle the cone makes at the top from the middle of the circle)
S=lateral surface area
T=total surface area
V= Volume

s=SQRT((R1-R2)^2 +h^2)=h/(cosO)=(R1-R2)/(sinO)
S=pi(R1+R2)s
T=pi[R1^2+R2^2+(R1+R2)s]
V=1/3*pi*h(R1^2+R2^2+R1*R2)