Quiz Bowl:

Championship Round

Rules

• No loss of points for an incorrect answer.
• 15 lightning questions. These are toss ups!
• You get 15 seconds after buzzing in to answer.
• If unanswered or an answer is wrong, the other team can steal.

1. Lightning: First to Buzz

Sometimes/Always/Never

If x is odd, then x²+x+1 is divisible by 3.

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2. Lightning: First to Buzz

Sometimes/Always/Never

A non-terminating, non-repeating decimal has no fraction equivalent.

3. Lightning: First to Buzz

You have a coupon for $15 off and a coupon for 20% off. How much is your bill if it doesn’t matter which coupon you use?

4. Lightning: First to Buzz

What are the numbers A and D in the famous quadratic pattern:

… A, B, 10, 15, 21, 28, C, D...?

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5. Lightning: First to Buzz

In 2015, 310 million more was spent on adult Halloween costumes than on children’s costumes. If $1.55 billion was spent on adult costumes, how much was spent on children’s costumes?

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6. Lightning: First to Buzz

A standard deck of 52 cards has four suits and two colors, divided evenly. Take two cards at random. Is it more likely they are different suits or that they are the same color?

7. Lightning: First to Buzz

The shaded trapezoid is what fraction of the area of the whole T?

8. Lightning: First to Buzz

If the input is a multiple of three, the output is five less than two thirds of the input.

If the input is not a multiple of three, the output is seven less than a half of one more than the input .

What is the output for input = 141?

9. Lightning: First to Buzz

Greater than, equal, less than or can’t tell?

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the volume of a sphere of radius 5 cm

the volume of a triangular prism �9 cm tall �with a base �length 10 cm �by width 11 cm.

10. Lightning: First to Buzz

World series double comparison! Answer both. Greater than, equal, less than, can’t determine

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median(Chicago runs) ___ median(Cleveland runs)

mean(Chicago runs) ___ mean(Cleveland runs)

11. Lightning: First to Buzz

The third whole number side of the right triangle that has sides 99 and 101. (This one is primitive, which means it’s not a multiple of another triple.)

12. Lightning: First to Buzz

This quadratic function has one root.

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What is the value of c?

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13. Lightning: First to Buzz

Georg Cantor developed set theory, and gave us a way to understand infinity. One of his big ideas was that the number of subsets of a set is 2 to the power of the number of elements in the set. (The set of all subsets is called the power set.) If the power set has 16384 elements, how many elements did the original set have?

Quotation Break

"In mathematics, the art of asking questions is more valuable than solving problems.”

-Georg Cantor, �in his doctoral thesis

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Cantor proved that you can match fractions and counting �Numbers one-to-one!

14. Lightning: First to Buzz

The point (a,2a) is on the line 2x – 5y = 20. What is a as a decimal?

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15. Lightning: First to Buzz

How many hexagons in the next �(4th) picture?

Paper needed

The next question is an estimation question. Both teams have a minute to write down their best estimate. The closer estimate wins the point.

16.

Estimation

The jar of pennies is worth $4.50. Estimate how much the jar of nickels is worth.

Actual

End of Quiz Bowl Final!

Tiebreaker next

slide if needed.

Lightning: Tiebreaker

Write 0.20162016201620162016…

as a simplified fraction. (Reduced to lowest terms.)

14. Lightning: 2nd tiebreaker

Is 100 hectares closer to 100 acres, 250 acres or 1 square mile?