Name________________________________________
Rocket City Math League
2009-2010
Round 2
Explorer Test
Answers must be written inside the adjacent answer boxes. All answers must be written in exact, reduced, simplified, and rationalized form. No
calculators, books, or other aides may be used.
1. Planets Xeon, Yeon, and Zeon lie in a straight line in that order. Planet Xeon is 6 light years away from Planet
Yeon and 10 light years away from Planet Zeon. How far, in light years, is Planet Yeon away from Planet Zeon?
(1 point)
2. Two hundred Tweeknaks are at a spaceport. If 15% of the Tweeknaks are traveling to Earth, how many
Tweeknacks are not traveling to Earth?
(1 point)
3. Imari the 12-armed alien won 62 super Magnoballs playing Odyssey Pinball. She gave three Magnoballs to each
of her friends, and had only 11 Magnoballs left. How many friends did Imari give Magnoballs to?
(1 point)
4. If the weight, in pounds, of a Neglion super computer is multiplied by 5/7, the result is 81/2 pounds. What is the
actual weight, in pounds, of the super computer?
(1 point)
5. Planets J, K, and L form a right triangle as shown below.
J
K
L
If Planet J is 6 light years away from Planet K which is 8 light years from Planet L, then how far, in light years, is
Planet J from Planet L?
(2 points)
6. Aquba is taking his final exam to pass Treasure Hunting 101. For his exam, Aquba must follow a treasure map
and make it to finish line. The map instructs her to move 14 light years east, 16 light years south, 20 light years
east, 22 light years north, 2 light years west, 6 light years south, and 8 light years east. If Aquba were to hover
directly from the start to the finish, how far would she travel?
(2 points)
7. Aliens from Planet Xena have 3 eyes and 4 legs. Aliens from Planet Neevine have 4 eyes and 6 legs. These two
types of aliens are the only types of aliens on the Galorgian Cruiser. If there are 34 eyes and 48 legs on the
Galorgian Cruiser, how many aliens are there in total on the Galorgian Cruiser?
(2 points)
8. Thrall is 12 feet tall and casts a 15 foot long shadow. If Dhrall, who is 8 feet tall, were standing in the same
place with the light source from the same place, how many feet long would Dhrall’s shadow be?
(2 points)
9. If 3 Bjorks equal 5 Cliknops, and 4 Cliknops equal one Piezor, then how many Bjorks equal 3 Piezors?
(3 points)
10. At the Criptonian Olympics, two aliens, Actnor and Bizznap, are competing in a championship race. Actnor
can run 10 miles per hour, and Bizznap can run 8 miles per hour. Bizznap starts 4 miles ahead of Actnor.
Assuming both aliens run at a constant speed, how many hours would it take Actnor to catch up to Bizznap?
(3 points)
.
11. Someone has activated the self-destruct timer on Ziggy’s Spacecraft. The only way to stop the timer is to enter
a password, which is the sum of the positive even numbers less than 878. What is the password?
(3 points)
12. At the 5th Annual Alien Grid-Counting Competition (AAGCC), Edoc is in the final round. In order to win the
competition, Edoc has to determine how many squares of any size are drawn in a 5x5 grid and then find how many
rectangles of any size are drawn in a 4x6 grid. What is the sum of the number of squares in the 5x5 grid and the
number of rectangles in the 4x6 grid? (Figures not drawn to scale)
(4 pts)
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