Week of December 11
1. A circular pizza with a diameter of 18 inches is cut along radii into 3 wedge-shaped slices. The measures of two of the central angles are 90 degrees and 130 degrees. What is the area, in square inches, of the largest slice?
2. You start with $5.12. You bet half your current holdings on a 50-50 proposition 6 times. That is, on each bet you either lose all the money you bet or you win twice the amount that you bet. You win exactly 3 bets. How much do you have in the end?
3. Two sides of a triangle are 15 inches and 20 inches. If the third side of the triangle is an integer, what is the smallest possible value for the length of the third side?
4. In the east fork of the Bitterroot River drainage basin, 76 elk calves were fitted with radio collars, as part of a 2012 mortality study. Of those 76 elk calves, 17 died: 6 were killed by mountain lions, 4 were killed by black bears, and 2 were killed by human-related factors. The cause of death for the remaining 5 could not be determined by the researches. Based on the results of the study, what percentage of elk calf mortality can be attributed to mountain lions?
5. A spring survey flight over the east fork of the Bitterroot River drainage basin in 2015 counted 4,323 elk. Researchers reported that 14 bulls were counted for every 100 cows and 25 calves were counted per 100 cows. How many bulls, cows, and calves were spotted?
6. In the correct, two-decimal place subtraction shown below, the letters a, b, and c represent single digits. What does c represent?
ab-ba------ c4