Name _________________________
Explorer Test
Rocket City Math League
Round 2
2015-2016
Answers must be written inside the adjacent answer boxes. All answers must be written in exact, reduced, simplified, and rationalized form. Figures are not necessarily drawn to scale. No calculators, books, or other aides may be used. Time limit: 45 minutes 1.
Find the area of the circle with a radius of
2.
Solve for
3.
There are three rockets that are 154 m, rockets? Round to the nearest tenth.
4.
14 . (Use π = 22/7.)
x : 3(7 x 18) 9
6 x 17 .
(1 point)
(1 point)
132 m, and 178 m long. What is the mean length of the
Write the correct comparison symbol ( , , ) for the equation when
2 x 17
14
(1 point)
x is negative: (1 point)
5.
What is the y-intercept of a line that travels from (-3, 15) to (12, 30) on a Cartesian Plane? (2 points)
6.
Poggle bought five liters of rocket fuel for $28.50. How many liters of rocket fuel can Poggle buy with $74.10? (2 points)
7.
On a Cartesian Plane, the Messier galaxy is located at (6,3) while the Sculptor Galaxy is located at (-3,7). What is the shortest distance between the galaxies? (2 points)
8.
Tingo wants to go stargazing at 6 pm, but first she has to clean her room which takes x hours, and do the remainder of her chores which takes y hours. If 4 x 3 1 and 20 x 26 2 y , when 6 2 will she have to start her chores in order to watch her show? Include am or pm. (3 points)
9.
You are at the Interstellar Music Festival on the moon Xanthos. There are 100 people at the festival who wear a scarf, hat, or both. 63 people wear a scarf. 56 people wear either a hat or scarf only. What is the percentage of people wearing both a hat and a scarf? (3 points)
10. Ruzo the Martian mines Neurotium, and he works at the rate of 7 kg per hour. Fele, Ruzo’s friend, also mines Neurotium, but she works at the rate of 11 kg per hour. If each of the workers is required to have 60 kg of Neurotium by the end of the day, how much quicker, in hours, will Fele complete her work than Ruzo? (4 points) The material on this page is the property of the Rocket City Math League. Reproduction other than for non-profit educational purposes is strictly prohibited without the expressed written consent of the RCML. Rocket City Math League www.rocketcitymath.org Sponsored by Mu Alpha Theta - National Math Honor Society www.mualphatheta.org
