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40th Annual Lee Webb Math Field Day MARCH 12, 2011

40th Annual Lee Webb Math Field Day MARCH 12, 2011. Junior Varsity Math Bowl. Before We Begin:. Please turn all cell phones off, or set to vibrate, while the Math Bowl is in progress.

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40th Annual Lee Webb Math Field Day MARCH 12, 2011

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  1. 40th Annual Lee Webb Math Field DayMARCH 12, 2011 Junior Varsity Math Bowl

  2. Before We Begin: • Please turn all cell phones off, or set to vibrate, while the Math Bowl is in progress. • Students will use the TI-Inspire only to electronically submit their answers. You will not be able to use the calculator to perform any computations. • Turn on your calculator by pressing the ON button in the lower left corner. The HOME screen should appear, and A: Calculate should be highlighted.

  3. For each question, a signal will be sent to your calculator, and a screen will appear for your use in submitting your answers. • You will need to use the TAB button, located on the upper left side of calculator, to the left of the large round thumb cursor to submit your answers. • We will first make sure that all calculators are properly logged in before we start.

  4. We will do a sample question each round, utilizing some keys that students may need for their answers. • There is to be no talking among the students on stage once the round has begun. • Audience please do not shout out any answers.

  5. 2011 Math BowlJunior VarsityRound 1

  6. Sample - 45 seconds Submit the following answer, being sure to place parentheses properly to dictate the desired order of operations. Remember to use the tab key to exit an exponent.

  7. Problem 1.1 - 15 seconds Which of the following decimals is the smallest? Enter the decimal, not the letter. a) .031 b) .029 c) .03 d) .009

  8. Problem 1.2 - 15 seconds Find f(4) when f(x) = -2x - 7.

  9. Problem 1.3 - 30 seconds What is the y intercept of the line perpendicular to the line y = 3x + 5, and passing through the point (3, 5)?

  10. Problem 1.4 - 30 seconds The ratio of men to women in a certain Iowa farm town is 5 to 3. If there are 600 adults in the town, how many are men?

  11. Problem 1.5 - 15 seconds Simplify: 12 - 3(x - 2)

  12. Problem 1.6 - 45 seconds The length of a rectangle is 8 in. longer than its width. If its perimeter is 32 in., what is its area, in sq. in.?

  13. Problem 1.7 - 30 seconds The cost of producing n suncatchers is given by C(n) = 150 + 3n; while the revenue from the sale of these suncatchers is given by R(n) = 8n. How many suncatchers must the manufacturer sell to break even?

  14. Problem 1.8 - 15 seconds Simplify as much as possible: (751/2)(3001/2)

  15. Problem 1.9 - 30 seconds What is the volume, in square centimeters, of a 5 cm. tall right cylinder, if the base has a radius of 3 cm.? 5 cm. 3 cm.

  16. Problem 1.10 - 30 seconds A pair of shoes that originally sold for $100.00 was marked down 20%. Two weeks later it was marked down an additional 50%. What is the new price, in dollars?

  17. Problem 1.11 - 30 seconds What is the greatest common factor of 312 and 48?

  18. Problem 1.11 - 45 seconds State all values of x which satisfy the equation. 3x - 2(x2 - x + 1) = 0

  19. Problem 1.13 - 30 seconds A couple has $21.00 to spend on lunch, and want to leave a 20% tip. What is the maximum amount of money, in dollars, they can spend on their food order?

  20. Problem 1.14 - 15 seconds A, B, C are points on the circle centered at O. If , what is , in degrees? B A C O

  21. 2011 Math BowlJunior VarsityRound 2

  22. For each question, a signal will be sent to your calculator, and a screen will appear for your use in submitting your answers. • You will need to use the TAB button, located on the upper left side of calculator, to the left of the large round thumb cursor to submit your answers. • We will first make sure that all calculators are still properly logged in before we start. • Next we will review the keyboard again.

  23. Sample - 45 seconds Submit the following answer, being sure to place parentheses properly to dictate the desired order of operations. Remember to use the tab key to exit an exponent.

  24. Problem 2.1 - 15 seconds How many cubic feet are in 2 cubic yards?

  25. Problem 2.2 - 30 seconds Find the degree measure of angle x. x + 30º x x - 15º

  26. Problem 2.3 - 45 seconds Find the ordered pair that satisfies the linear system.

  27. Problem 2.4 - 15 seconds Rewrite as a fraction in lowest terms.

  28. Problem 2.5 - 30 seconds The number of houses sold by Apple Realty decreased from 300 in the year 2009 to 180 in 2010. What is the percentage decrease in the number of houses sold?

  29. Problem 2.6 - 15 seconds What is the maximum value in the range of the function f(x) = -(x – 5)2 - 3 ?

  30. Problem 2.7 - 30 seconds Find the area of the parallelogram, in square centimeters.

  31. Problem 2.8 - 15 seconds What is the median of the following set of numbers? {2, 5, 7, 5, 3}

  32. Problem 2.9 - 30 seconds Solve the absolute value equation.

  33. Problem 2.10 - 15 seconds Find the distance between the points (-2, 6) and (4, -2).

  34. Problem 2.11 - 30 seconds Suzanne volunteered to make 180 cookies for a bake sale. In 90 minutes, she has only made 30 cookies. At that rate, how many hours will it take her to make the rest of the cookies?

  35. Problem 2.12 - 45 seconds Solve for x:

  36. 2011 Math BowlJunior VarsityRound 3

  37. For each question, a signal will be sent to your calculator, and a screen will appear for your use in submitting your answers. • You will need to use the TAB button, located on the upper left side of calculator, to the left of the large round thumb cursor to submit your answers. • We will first make sure that all students have the correct calculator and that the calculators are properly logged in before we start. • Next we will review the keyboard again.

  38. Sample - 45 seconds Submit the following answer, being sure to place parentheses properly to dictate the desired order of operations. Remember to use the tab key to exit an exponent.

  39. Problem 3.1 - 45 seconds Bill is making decorative plaques from scrap lumber to sell at the flea market. If each plaque measures 15” long by 5” wide, and he has four 8 foot long 10" wide boards available, how many plaques can he make?

  40. Problem 3.2 - 15 seconds Simplify: log12

  41. Problem 3.3 - 30 seconds Let M = kN - 4. When N = 9, M = 2. Find the value of M when N = 15.

  42. Problem 3.4 - 30 seconds Find

  43. Problem 3.5 - 45 seconds At a discount store, similar items are the same price. One sweater and three shirts cost $42, while three sweaters and two shirts cost $56. How much does one shirt cost, in dollars?

  44. Problem 3.6 - 30 seconds Find the value(s) of the x intercept(s) of the circle. (x + 3)2 + (y - 5)2 = 25

  45. Problem 3.7 - 15 seconds Simplify: i275

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