2. 100 200 300 100 200 300 100 200 300 100 200 300

3. Algebra 1 100 points Algebra 1 100 points The numbers 1, 2, 3, … 10 are written on ten index cards, one number per card. You shuffle the cards and, without looking at them, randomly select one card and throw it away. If you randomly select a second card, what is the probability that it will have a prime number written on it?

4. Algebra 1 100 points Answer Algebra 1 100 points Answer The prime numbers are 2, 3, 5, and 7. If no card was thrown away, the probability of a chosen card displaying a prime number would be 4/10. Each card in the deck has the same probability of being a prime number. Throwing away the first card has no effect. 2/5

5. Algebra 1 100 points Algebra 1 200 points Algebra 1 200 points Nine numbers have a mean of k. If c is added to the nine numbers, the new mean is 2 k. Express c in terms of k.

6. Algebra 1 200 points Answer Algebra 1 200 points Answer

7. Algebra 1 300 points Algebra 1 300 points

8. Algebra 1 300 points Answer Algebra 1 300 points Answer

9. Geometry 100 points Geometry 100 points

10. Geometry 100 points Answer Geometry 100 points Answer

11. Geometry 200 points Geometry 200 points

12. Geometry 200 points Answer Geometry 200 points Answer

13. Geometry 300 points Geometry 300 points The circumference of a large circle is 2 cm greater than the circumference of a small circle. Exactly how much bigger is the radius of the large circle than the radius of the small circle?

14. Geometry 300 points Answer Geometry 300 points Answer

15. Algebra 2 100 points Algebra 2 100 points

16. Algebra 2 100 points Answer Algebra 2 100 points Answer

17. Algebra 2 200 points Algebra 2 200 points

18. Algebra 2 200 points Answer Algebra 2 200 points Answer

19. Algebra 2 300 points Algebra 2 300 points

20. Algebra 2 300 points Answer Algebra 2 300 points Answer

21. Related Technical 100 points Related Technical 100 points Most octopi have 8 arms. Each arm has 2 rows of suction cups, and each row contains between 100 and 125 suction cups. What is the difference between the maximum and minimum numbers of suction cups for an octopus?

22. Related Technical 100 points Answer Related Technical 100 points Answer The largest variation in the number of suction cups in one row is 25, and there are a total of 16 rows. Therefore, the largest variation would be 16 x 25. 400

23. Related Technical 200 points Related Technical 200 points Sam makes $10.50 per hour. When he works a 40-hour week, his after-tax take home pay is $344.27. How large a raise, to the nearest percent, would Sam need so that his new take-home pay equals his current gross pay? (Assume that the tax rate does not change.)

24. Related Technical 200 points Answer Related Technical 200 points Answer new pay – old pay = percentage increase old pay 10.5(40)-344.27 =.22 344.27 22%

25. Related Technical 300 points Related Technical 300 points A block of wood in the shape of a right rectangular prism has dimensions 1 ft. x 1ft. x 2 ft. If Tom saws it in half to create two blocks with dimensions 1 ft. x 1ft. x 1 ft., what is the percentage increase in the total surface area?

26. Related Technical 300 points Answer Related Technical 300 points Answer Original total surface area = 4(1 2) + 2(1 1) = 10 ft 2 After sawing, total surface area = 2 6(1 1) = 12 ft 2 Since the original surface area was 10 ft 2, the amount of increase was 2 ft 2. 2/10 = 20% increase 20% increase