Academic Bowl

Geometry/ Trig

100

If the measure of an angle is 42.6 degrees what is the measure of its supplement?

137.4 degrees (Supplement means the two angles add up to 180 degrees.)

200

If the measure of an angle is 23.8 degrees what is it's complement?

66.2 degrees (Complement means the angles add up to 90 degrees.)

300

What is the sine of angle A? Simplify if possible. (Refer to diagram A)

4/3

400

A map is laid out in the standard (x, y) coordinate plane. How long, in units, is an airplane's path on the map as the airplane flies along a straight line from City A located at (20, 14) to City B located at (5, 10)? A.) The square root of 1,201 B.) The square root of 241 C.) The square root of 209 D.) 7 E.) The square root of 19

B (The square root of 241) To find this problem you have to use the distance formula (The square root of (x1-x2)^2 + (y1-y2)^2)

500

A person 2 meters tall casts a shadow 3 meters long. At the same time, a telephone pole casts a shadow 12 meters long. How many meters tall is the pole? Hint: Draw a picture A.) 4 B.) 6 C.) 8 D.) 11 E.) 18

C, Your proportion might be 3/12 = 2/h. Cross multiply to get 3h = 24. Solve to get h = 8.

Grammar & Punctuation

100

Locate the incorrect word and rephrase the following sentence accordingly: "The owner of the bicycles are going to sell them."

"The owner of the bicycles is going to sell them."

200

Otherwise, this difference points *to* significant underlying cultural values. A.) No Change B.) on C.) at D.) Omit the underlined portion

F

300

What are the two parts of a sentence?

Subject and Predicate

400

A full case of sodas, when opened by a horde of thirsty athletes who have been running laps, *don't go* very far. A.) No Change B.) do not go C.) doesn't go D.) doesn't get to go

C

500

What is used to indicate possession? A.) A quotation B.) An apostrophe C.) A hyphen D.) A gerund

B

ACT Format

100

How long do you get to complete the writing portion of the ACT?

30 Minutes

200

You should read the entire passage before moving on to the questions. True or False?

False, you should read all of the questions before reading the passage.

300

Where should you write corrections on the writing section of the ACT?

In the space between the lines.

400

What are the five components of the ACT and which of the five is optional?

English, Mathematics, Reading, Science and Writing; the writing section is optional.

500

What subjects does the Mathematics Test include? (3 Basic mathematic types)

Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, and Plane Geometry/Trigonometry. (Algebra, Geometry and Trigonometry)

Algebra

100

What is 4% of 1,100? A.) 4 B.) 4.4 C.) 40 D.) 44 E.) 440

D; Convert 4% to a decimal and multiply by 1,100. (0.04 * 1,100) = 44

200

If x + y = 1, and x - y = 1, then y = ? A.) -1 B.) 0 C.) 1/2 D.) 1 E.) 2

B

300

The relationship between temperature expressed in degrees Fahrenheit (F) and degrees Celsius (C) is given by the formula: F = 9/5C + 32 If the temperature is 14 degrees Fahrenheit, what is it in degrees Celsius? A.) -10 B.) -12 C.) -14 D.) -16 E.) -18

A

400

Cody drove the 200 miles to New Orleans at an average speed 10 miles per hour faster than his usual average speed. If he completed the trip in 1 hour less than usual, what is his usual driving speed, in miles per hour? A.) 20 B.) 30 C.) 40 D.) 50 E.) 60

C; You have to use the formula (D = rt) (Let R represent his usual speed in mph.) (200/r+10) = (200/r) - 1

500

If a < -1, which of the following best describes a general relationship between a^3 and a^2? A.) a^3 > a^2 B.) a^3 < a^2 C.) a^3 = a^2 D.) a^3 = -a^2 E.) a^3 = 1/a^2

B; if a < -1, then a is a negative number, so its cube is a negative number. Squaring a negative number, however, gives a positive number. Every negative number is less than every positive number so the correct answer would be B (a^3 < a^2)

Sentence Structure & Rhetorical Skills

100

It is a social *music that preformed* at weddings, birthday parties, and feasts. A.) No Change B.) music in which it is preformed C.) music, performing D.) music, performed

D

200

In the early 1900s the O'odham became acquainted with marching bands and wood-wind instruments *(which explains the presence of saxophones in wail).* Given that all of the choices are true, which one is most relevant to the focus of this paragraph? A.) No Change B.) (although fiddles were once widely used in waila bands). C.) (even though they're now often constructed of metal). D.) (which are frequently found in jazz bands also).

A

300

Today, after many birthdays and New Year's Days, I now find meaningful the difference I once found confusing. *Otherwise,* this difference points to significant underlying cultural values. A.) No Change B.) Though, C.) In fact, D.) Then,

C

400

The school board members believed that wearing "play clothes" to school mad the students *inefficient toward* their school work, while more formal attire established a positive educational climate. A.) No Change B.) lazy and board to tears with C.) blow off D.) lax and indifferent toward

D

500

What is the best way to rewrite the following sentence and why does it need to be re-written? : "Snarling and snapping, Juanita attempted to control her pet turtle."

Juanita attempted to control her pet turtle, which snarled and snapped." It needs to be re-written because Juanita isn't doing the snarling and snapping.