2008 Junior High
Math Field Day
Math Bowl
Skills Tested: Pre-Algebra, Algebra, and Geometry
Number of Problems: 100
Time Limit: 1 hour
Points Possible: 100
Instructions:
1. Print your name (last, first), grade level, and school on the answer sheet.
2. Points are given on the basis of the correctness and accuracy of your answers. If you finish the test early, it is to your advantage if you check over your answers.
3. Do not write on the test booklet.
4. Try your best and double check your answers.
5. Disruptive behaviors or cheating in any form will result in your disqualification form the event.
DO NOT START THIS
TEST UNTIL TOLD TO DO SO!
1) A family pays $800 per year for an insurance plan that pays 80
percent of the first $1,000 in expenses and 100 percent of all medical expenses
thereafter. In any given year, the total amount paid by the family will equal
the amount paid by the plan when the family's medical expenses total which of
the following?
A. $1000 B. $1200 C.$1400 D. $1800
2) Solve for x in: -(3x - 1) / 3
- 2(x - 8) / 5 = (x + 8) / 5 – 3
A. -10 B. 15 C.17/2 D. 37/12
3) Machine A can produce 1,000 sausages in 4 hours. Machine B can
produce 1,000 sausages in 8 hours. Working together at their respective rates,
how long will it take the machines to produce 1,000 sausages?
A. 1 hr 40 min B. 2 hrs C.
2 hrs 40 min D. 3 hrs
4) If k is divisible by 2, 3, and 15, which of the following is
also divisible by these numbers? A. k + 5 B.
k + 15 C. k + 20 D. k + 30
5) Solve for x in: 2 / 7 - (x + 8) / 4 = 3(x - 3) / 5 - 3 / 2
A. no
solutions B. 0 C. 37 /
119 D. 222 / 119
6) A special lottery is to be held to select the student who will live
in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and
200 sophomores who applied. Each senior's name is placed in the lottery 3
times; each junior's name, 2 times; and each sophomore's name, 1 time. What is
the probability that a senior's name will be chosen?
A. B. C. D.
7) If and what
is the value of m?
A. B. C. D.
8) Find the Mean, Median, and Mode of the
data set: 220, 250, 210, 290, 310, 230, 230. A. 310, 250, 310 B. 275, 290, 220
C. 249, 230, 230 D.
255, 220, 230
9) Find the
range and standard deviation of the data set: 19.4, 16.3, 12.7, 24.8, 19.2,
15.4 A.
12.5, 4.50 B. 14.7, 4.32 C.
15.4, 6.85 D. 12.1, 3.82
10) Solve
the equation for y: 5x - y = -10. A. y=5x-10 B. y=x-15 C. y=10x-5 D. y=x-2
11) Solve
for z: 8(z - 6) = -16 A.
4 B. 2 C.
8 D. 6
12) Simplify the expression: 7y - 2x + 5x - 3y + 2x A. 3x - 4y B. 5x + 4y C. 4x - 4y D. 5x - 4y
13) Write
the expression as a complex number in standard form: (3 + 10i)(4 - 9i) A. 105-13i B.
13i+102 C.5i+100 D.
102+13i
14) Solve for x in: 2x = 32
A. 5 B. 3 C. 2 D.
6
15)
Solve for
x in: (1/3)2x = 243
A. -3/2 B. -2 C. -5/2 D. -3
16) Which of the following is not an exponential function?
A. f(x) = 3e-2 x B.
f(x) = 3e-2 x C.
h(x) = x3/2 D. g(x)
= 15 / 7x
17) x4 (x-5
· x3) ² =
A. x6 B. x4 C. x D. x8
18) If x4 = 16, then x = ?
A.
2 B. -2 C. ±4 D. ±2
19) (3²x6) ³ =
A. 729x18 B.
9x9 C.
243x18 D.
243x9
20) x9/x-2
=
A. x7 B.
x8 C. x11 D. x10