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Mental Math 2014 FAMAT State Convention Name ________________________________________ School _________________________________ Division (circle one): Calc Alpha Theta Sponsor __________ 21. __________ 1. Compute . __________ 2. __________ 3. What is the smallest prime that divides minutes and back in 3 minutes. What Determine the number of positive was his average velocity? (km/min) __________ 23. Find __________ 24. Find the mean of 1,2,3,4,6,7,8,9, and 10. __________ 25. Find the area of __________ 26. Find A square has a diagonal of 2. What is its area? __________ 5. Benji walks across his 1 km school in 2 7231? integral factors of 360. __________ 4. __________ 22. If and , then ? __________ 6. __________ 7. where each term is a binomial coefficient. __________ 8. __________ 9. Remainder when 123 is divided by 7 __________ 28. Find the sum of the first 7 even positive __________ 29. How many positive even integers are factors of 144? How many numbers less than 100 are not divisible by 2 or 3? __________ 12. __________ 27. integers. __________ 10. __________ 11. , __________ 30. Classify the conic section __________ 31. If three consecutive even integers add to What is the least prime greater than 50 added to the greatest prime less than 50? 24, find the largest of the three. __________ 13. __________ 32. __________ 14. How many terms are in the geometric sequence __________ 15. Find to 2 decimal places __________ 33. Simplify __________ 16. How many real solutions are there to __________ 34. If what is __________ 17. A randomly chosen positive integer is __________ 35. chosen from the set of all positive __________ 36. integers. What is the probability it is not __________ 37. divisible by 2 or 3? __________ 38. ? ? In the sequence 1,1,2,3… (the Fibonacci sequence), what is the sum of the first 6 and Given it is an integer, what is __________ 19. __________ 20. where are positive integers not equal to 1, ? __________ 18. ? __________ 39. What is the radius of a circle with area 4? terms? __________ 40. (This is not a trick question.) Mental Math 2014 FAMAT State Convention Name ________________________________________ School _________________________________ Division (circle one): Calc Alpha Theta Sponsor 40. 2 1. 8060 2. 7 3. 24 4. 2 5. 1/4 6. 21.21 7. 4 8. 800 9. 0 10. 17/72 11. 33 12. 100 13. 5 14. 2 15. 1.57 16. 2 17. 667 18. 1/3 19. 9216 20. 20 21. 6408 22. 2/5 23. 4/9 24. 50/9 25. 4*pi 26. 32 27. 4 28. 56 29. 12 30. hyperbola 31. 10 32. 11 33. 2sqrt(30) 34. 10,002 35. 744769 36. 120 37. 8192 38. 68 39. 2/sqrt(pi) (or “rationalized”)