1. Math Team Spotlight Week 2014
Created by Educational Technology Network

2. POWERPOINT JEOPARDY 10 10 10 20 20 20 30 30 30 40 40 40 Algebra
Geometry
Probability 10 10 10 20 20 20 30 30 30 40 40 40

3. Solve for y when x = 3
y = x2 – 3x + 4

4. Find the roots of the equation
y = x2 – 5x – 14

5. Find a - b if
2a2 – 3ab + 2b2 = 50 + ab

6. A parabola with equation y = x2 + bx + c
passes through the points (2, 3) and (4, 3).
What is c?

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Category 1 – 50 Points

8. In ∆ABC,
m∠A = 20 and m∠B = 90.
What is m∠C?

9. A piece of 16-gauge copper wire 42 cm long is bent into the shape of a rectangle whose width is twice its length. Find the dimensions of the rectangle.

10. ∆ABC and ∆DEF are similar such that m∠B = m∠C = 59º.
If AB = 27 and DE = 30, and
if BC = 18, what is EF?

11. Is the equation for the volume of which geometric solid?
V = (1/3) πr2h
Is the equation for the volume of which geometric solid?

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Category 2 – 50 Points

13. A fair coin is thrown in the air four times
A fair coin is thrown in the air four times. If the coin lands with the heads up on the first three tosses, what is the probability that the coin will land with the heads up on the fourth toss?

14. Most California license plates have a single number followed by three letters and then three numbers. How many possible license plates can be created with this arrangement?

15. A box contains exactly five chips, three red and two white
A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?

16. If a number is selected at random from the set of all three-digit numbers, what is the probability that it contains at least one 2?

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Category 3 – 50 Points

18. Mary works 2. 5 times faster than Peter. Together, they do a job in 12
Mary works 2.5 times faster than Peter. Together, they do a job in 12.5 hours. How long does it take Mary working alone to complete the same job?

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Category 4 – 20 Points

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Category 4 – 30 Points

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Category 4 – 40 Points

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Category 4 – 50 Points