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Grade 7
Arithmetic
Meet 3
2009-2010
2
1
of of a number is 12. What is the number?
3
4
1)
Answer: _________________ (2 pts)
2
3
of a cup of milk and 2 cups of flour. If Ryan only has half a cup of milk
3
4
for the recipe, how much flour should he mixed in? Express your answer as a mixed number.
2)
A recipe calls for
Answer: ____________cups (3 pts)
3)
1

2 5  2 2  
2

Simplify:

 8  4  6  (3)
Answer: _________________(4 pts)
4)
Widgets cost 5 times as much as wadjets, and wadjets cost half as much as thingamabobs. If 2
widgets, 3 wadjets and 4 thingamabobs cost $4.20, how much does a thingamabob cost?
Answer: $_______________(5 pts)
5)
1
1
 .75 
5 
Simplify and express as a mixed number: 3
1 1
  .125
4 12
Answer: _________________(6 pts)
Grade 7
Geometry
Meet 3
2009-2010
1)
What is the sum of the complement of an angle of 35 degrees and the supplement of an angle of
110 degrees?
Answer: _________________(2 pts)
2)
A cylinder has a base with a circumference of 12π inches and it is 12 inches high. What is its
volume? Use 3.14 for π and round your answer to the nearest hundredth.
Answer: ____________sq in (3 pts)
3)
A right triangle has legs that are nine inches and forty inches. If a side of a square is the
hypotenuse of that right triangle, what is the area of the square?
Answer: _____________in2 (4 pts)
4)
A circular archery target has 3 circles with diameters of 8, 12 and 16 inches. What is the
probability, as a percent, that an arrow that hits the target will not strike the innermost circle nor
the outermost ring? (i.e., the middle ring is where the arrow hits the target.)
Answer: ______________% (5 pts)
5)
A car tire has a diameter of 40 inches. In order to travel at least one mile, how many complete
revolutions will the tire make? Use 3.14 for π.
Answer: ______________ft. (6 pts)
Grade 7
Team
Meet 3
2009-2010
1)
What is 52467 in base 6?
Answer: _________________ (6 pts)
2)
What is the probability of throwing a 1 or a 3 on either or both die, if you throw 2 dice? (At least
one die has a 1 or a 3 showing.) Express your answer as a fraction in lowest terms.
Answer: _________________ (6 pts)
3)
John buys a skateboard whose regular price is $109.99, but is on sale for 30% off. He also buys
1
skate shoes which are regularly $74.99, but are 35% off. If tax is 5 percent, what did he pay?
2
Answer: _________________(6 pts)
4)
Express the following quotient in scientific notation:
(8.6 x 103 )(5.7 x 108) ÷ (3 x 105 )
Answer: _________________(6 pts)
5)
1
3
of an inch thick. You select a group of consecutive pages
of an
128
4
inch thick. The selected pages start with 25 (a right hand page) and end with what left hand page
number?
Each page in a book is
Answer: _________________(6 pts)
6)
An investment of $6000 grows by 8% a year. How many years will it take for the investment to
increase in value by more than 50%?
Answer: _________________(6 pts)
Grade 7
Solutions
Meet 3
2009-2010
Arithmetic
1) 72
2) 2 1/16
3) -2
4) $0.40
4
5) 2
5
Geometry
/3 times ¼ times the number .
/3 is to ½ as 2 3/4 is to x. 11/4 times ½ equals 2/3 x. x = 11/8 x 3/2 = 33/16 = 2 1/16
26/-13 equals -2.
3x+8x+10x = 4.20, with wadjets as x, x = 0.20. Thingamabobs cost $0.40.
2
2
77/60 divided by 11/24ths.
1)
2)
3)
4)
125º
1356.48
169 sq in
31.25%
5) 505
55+70.
The radius is 6 and area of the base is 36π multiplied by the height 12 or 432π.
5,12,13 triangle, area of the square is 13x13.
Total area is 64π and bullseye is 16π. Middle ring area = 36π - 16π = 20π. 20π/64π =
5/16 = 31.25%
40π (the circumference in inches) ≈ 125.6 in. 5280 x 12 = 63360. 63360/125.6 ≈ 504.4,
so 505 complete revolutions.
Team
1) 123156
5246 base 7 is 1847 base 10 and therefore 12315 base 6.
2)
3)
4)
5)
6)
There are only 20 combinations out of 36 that have 1, 3, or both.
76.99 plus 48.74 plus 6.92 tax.
You get 16.34x106 and need to change the power.
3/4 inch is 96 sheets or 192 pages including p25, so end 216.
6480, 7019.01, 7580.53, 8186.97, 8841.92 then over 9000.
5/9
$132.65
1.634x107
216
6