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Grade 8
Arithmetic
Meet 2
2011-2012
1)
Evaluate: 4-1 - 8-2
Answer: __________ (2 pts)
2)
2 ½% of 40% of a number is 2. What is the number?
Answer: __________(3 pts)
3)
The mean of a set of seven numbers is 5. The mean of a second set of five numbers
is 7. What is the mean of the two sets combined? State your answer as a mixed
number in simplest form.
Answer: __________(4 pts)
4)
Evaluate:
3 x x  2   y
if x = ¼ and y= (-2). State your answer as a simplified
2  x2 y
fraction.
Answer: __________(5 pts)
5)
Find the sum of the smallest and largest prime factors of 10,101.
Answer: __________(6 pts) Grade
8
Geometry
Meet 2
2011-2012
1)
What is the measure of angle x given the figure below?
63°
x
115°
Answer: ________________°_(2 pts)
2)
One angle of a triangle has a measure of 63 degrees. The other two angles have
degree measures in a ratio of 4:5. What is the sum of the angle measures of the two
largest angles?
Answer: _______________°_ (3 pts)
3)
Measuring clockwise from the hour hand, how many degrees are there between the
hands of a clock at 3:40 p.m.?
Answer: _______________°__(4 pts)
4)
Two lines have the same non-zero y-intercept. The first line has a slope of 10 and
an x-intercept of (s,0). The second line has a slope of 6 and an x-intercept of (t,0).
What is the ratio of s to t? Express your answer as a common fraction.
Answer: ________________ (5 pts)
5)
A pizza with a diameter of 12 inches costs 11 dollars. If the cost is directly
proportional to the area of the pizza, how much, to the nearest cent, would you pay
for a pizza with a diameter of 17 inches?
Answer: $______________(6 pts)Grade
8
Team
Meet 2
2011-2012
1)
If 7 diagonals can be drawn from a vertex of a regular polygon, how many degrees are
there in one angle of the figure?
Answer: ______________°_ (6 pts)
2)
If a ~b means
a 2 b  2b
what is the value of 3~4?
a2
Answer: _______________ (6 pts)
3)
Greg ran 147 miles in 6 days. If he runs n miles the first day, and he increases the number
of miles he runs each day by n miles, how many miles did he run on day 3?
Answer: __________miles_(6 pts)
4)
If three gets equal seven takes, what percent of a take is ¾ of a get? (round to the nearest
percent).
Answer: _______________(6 pts)
5)
A dartboard has 3 concentric outer zones, all 2 inches wide, with a bullseye 4 inches
wide. What is the probability a randomly thrown dart hits the zone closest to the outer
edge? Give your answer as a percent to the nearest hundredth.
Answer: _______________(6 pts)
6)
If 5a + 2b = 1 and a + b = 2, what is the ordered pair (a, b) that satisfies both equations?
Answer: _______________ (6 pts)
Grade 8
Solutions
Meet 2
2011-2012
Arithmetic
15
1)
64
2) 200
3) 5 5/6
4) 
53
34
5) 40
Geometry
1) 52 degrees
2) 128 degrees
3) 130 degrees
4) 3/5
5) $22.08
Team
1) 144 degrees
2) 28
¼- 1/64
0.025 (.4) x= 2
70
/12
11

3    2   2  21  2  53
 53
44

= 16
 16 
2
1
17
34
1
2
2      2 
8
8
4
10101 = 3 x 7 x 13 x 37. 3 + 37 = 40.
Supplement of 115 is 65; 65 + 63 + 52 = 180.
2 missing angles are 52 and 65, so 2 largest are 63 and 65
From 4 to 8 on the clock represents 120 degrees (4 * 30), plus the hr hand moves
2/3 of the way to 4 o’clock by the time it is 3:40 which leaves 1/3 of 30 or 10
more degrees, so 120 + 10 = 130°
1st line goes through (0,y) and (s,0) with slope 10 so y = -10s. 2nd line goes
through (0,y) and (t,0) with slope 6 so y = -6t. Therefore -10s = -6t and s/t = 6/10 =
3
/5
36 72.25

 36x = 72.25(11)  x = 22.0763888…  22.08
11
x
figure is decagon, so 8*180/10 = 144.
3 ~ 4 equals [3²(4) – 2(4)] divided by [3 – 2], (36 – 8) / 1 = 28
3) 21
4) 175%
5) 43.75%
6) (-1, 3)
n+2n+3n…6n gives 21n = 147, n=7 so 3n is 21
get = 7/3 take, so 3/4g=7/4take  7/4 = 1.75 or 175%
outer is 8 squared pi minus 6 squared pi, then divide by total area, so (64 – 36)/64
= 43.75%
If a + b = 2, then a = 2 – b. Use substitution to find 5( 2 – b) + 2b = 1; 10 – 5b +
2b = 1; 10 – 3b = 1 and 3b = 9 so b = 3. a + 3 = 2 and a = -1.