Quiz Bowl

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Quiz Bowl

• All eight students will solve problems as part of
  a quiz bowl.
• Students will work together to answer questions
  and compete head to head against other teams.
• Teams will be seated at tables.
• A moderator will ask a question using a
  microphone.
• Each team will write an answer to each question
  on the paper provided.

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• Team captains will hand one answer to the table
  runner.
• The team captain should be seated in middle of
  the team.
• Teams should write answers clearly and neatly so
  that judges can read answers. Teams with unclear
  answers will not receive points.
• Time will begin once I say go.
• Teams should NOT include computational or scratch
  work on the paper only answers should be written
  on the paper.

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• Once a team turns in their paper, the team may
  NOT change their answer.
• Teams will be provided with scratch paper and
  pencils as well as their answer sheets.
• NO books, notes, calculators, or electronic
  devices, such as cell phones, may be used.
• Cell phones must be turned off.

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Quiz BowlRound 1 Solve the Problem at Your
Table

• Round 1 will consist of 10 questions.
• Teams will have 20 minutes to answer all 10
  questions.
• Each question is worth 5 points.
• Teams that finish early may ask for additional
  questions.

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This blender costs 139.99 at Bed Bath
Beyond. You have a 20 off coupon and a 20 off
coupon. Which coupon will give you a bigger
discount for this blender?
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Step 1
Step 2
Step 3
There are 5 squares in Step One, 9 squares in
Step Two, and 13 squares in Step Three. How many
squares will be in Step 33?
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A lemonade recipe calls for 7 lemons, 630 grams
of sugar, and 1 ¾ quarts of water.
You only have 4 lemons. How much water and sugar
should you use?
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Find the measure of Angle BEF
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• Tennis balls have a diameter of
• 2.7 inches. They are sold in a
• cylindrical can whose height is
• 8.1 inches (the exact height of 3
• tennis balls) and whose diameter
• is 2.7 inches.
• Which is bigger, the height of the can
• or the circumference of the can?

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• Which values of A, B, C, and D complete the table
  below?

23 A
22 4
21 2
20 B
2C 1/2
2-2 1/4
2-3 D
2-4 1/16
You must get all four correct to receive credit.
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• Maxs quiz scores so far were 68, 75, and 70.
• Ms. Smith gave back a quiz with an 80 score. Max
  realized Ms. Smith made a mistake and he should
  have gotten a 90 score.
• She said, Ill make the change in my grade book
  but it wont change your quiz average.
• Which average or measure of center is Ms.
  Smith more likely using, the mean or the median?

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• Which is greater, 10 of one million or 500,000
  0.5?

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In a standard deck of 52 cards, there are 12 face
cards (King, Queen, and Jack of each suit). There
are 13 cards of each suit (Ace through King). A
friend offers you a bet if you can pick a face
card of any suit, or a heart of any value, from
the deck, hell give you 1. If not, you owe him
1. What is the probability that you win the bet?
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• Find the value of x that makes this equation
  true
• 2(x 10) 7

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Quiz BowlRound 2 Multiple Answers

• Round 2 will consist of 3 questions that each
  have multiple answers.
• Each team will earn 1 point for each correct
  answer and 1 bonus point if the team provides all
  of the possible answers or the number of possible
  answers.

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4 plastic beads are arranged to make a bracelet.
Here you see 3 different views of the same
bracelet. List all the different bracelets that
could be made with these 4 beads (including the
bracelet in the picture).
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Solution

• RBYG or BRGY (this is the given bracelet)
• or BYGR or YBRG
• or YGRB or GYBR
• or GRBY or RGYB
• RYBG or YRGB
• or YBGR or BYRG
• or BGRY or GBYR
• or GRYB or RGBY
• RBGY or BRYG
• or BGYR or GBRY
• or GYRB or YGBR
• or YRBG or RYGB

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• The factors of 12 are 1, 2, 3, 4, 6, and 12. The
  factors of 8 are 1, 2, 4, and 8.
• List all the numbers, from 1 to 30 (including 1
  and 30) that have an odd number of factors.

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Solution

• 1 1
• 4 1, 2, 4
• 9 1, 3, 9
• 16 1, 2, 4, 8, 16
• 25 1, 5, 25

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• Maurice has a bag of marbles.
• When he counts them by 2s he has 1 left over.
• When he counts them by 3s he has 2 left over.
• When he counts them by 4s he has 3 left over.
• He has fewer than 60 marbles.
• How many marbles could he have. List all the
  possibilities.

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Solution

• If he had one more marble, his number of marbles
  would be a multiple of 2, 3, and 4
• Multiples of 2, 3, and 4 under 60
• 12, 24, 36, 48
• One less than each
• 11
• 23
• 35
• 47

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Quiz BowlRound 3 Speed Round with Follow Up
Questions

• Round 3 will consist of 5 questions.
• The first team to give a correct answer to the
  runner will get 3 points.
• The first team with the correct answer will then
  receive a follow-up question for 2 bonus points.

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• Q Find the product
• -9 -8 -7 -6 -5 -4 -3 -2 -1 0
  1 2 3 4 5 6 7 8 9

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Solution

• Anything multiplied by 0 is 0, so the answer is 0.

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• F Find the sum
• -9 -8 -7 -6 -5 -4 -3 -2 -1 0
  1 2 3 4 5 6 7 8 9

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Solution

• Still zero just make pairs of the positive and
  negative numbers.

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• Q Solve for x
• 3(x 10) 5(x 10)

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Solution

• 3 (___) 5 (___) can only be true when both
  sides equal 0
• Therefore, x 10 must equal 0
• So x -10

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• F Solve for x
• 3(x 10) 2 5(x 10)

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Solution

• 3 somethings is 2 less than 5 somethings
• I know 3 ones is 2 less than 5 ones
• The statement will be true if (x 10) 1
• x -9

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• Q One fourth of the vehicles at Danielles
  Cycle Shop are tricycles. The rest are bicycles.
  Danielle counted a total of 45 wheels in her
  shop.
• How many bicycles does she have?

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Solution

• Every 4 vehicles has 9 wheels 6 bike wheels and
  3 trike wheels
• There are 5 sets of 9 wheels in 45 wheels
• She has 4 5 20 vehicles all together, 15 of
  which are bikes (3/4 of 20 is 15).

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F An outbreak of hoof-and-mouth disease is
spreading through the land of Narnia. A vet
examines each creatures mouth and examines each
hoof (4 per centaur and 2 per faun). At the end
of the day the assistant says, I need to record
how many fauns and how many centaurs we checked.

Faun
The vet replies, I didnt write that down, but I
do know I checked 47 mouths and 122 hooves. How
many centaurs were checked?
Centaur
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Solution

• If she had checked only fauns (2 legs each) she
  would have checked 47 2 94 hooves
• She checked 122 94 28 extra hooves
• Thats 14 extra pairs of hooves
• Therefore she checked 14 animals with 4 hooves
  (centaurs).
• 14 centaurs were checked.

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• Q Find the product of
• 0.5 0.25 0.125
• Your answer can be given as a fraction or decimal

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Solution

• 0.5 0.25 0.125 ½ ¼ 1/8
• ½ ¼ 1/8 1/(248)
• 1/(248) 1/(88) 1/64
• 1/64 0.15625

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• F Evaluate
• 0.1 0.25

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Solution
0.1 0.25 0.1 0.5 0.25
0.05
0.9 or 9/10
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• Q A jacket is on sale for 25 off. The sale
  price is 150.00.
• How much money do you save by buying the jacket
  on sale?

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Solution

• 150 is 75 of the jackets original price
• 50 is 25 of the jackets original price
• Therefore, you save 50.

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• F Monica contributes 1/3 of the total cost of a
  mothers day present. Nahim contributes ½ of the
  total cost. Their dad pitches in 9 so they have
  exactly enough money. How much was Monicas
  contribution?

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Solution

• Total ½(Total) 1/3(Total) 1/6(Total)
• 9 was 1/6 of the price.
• The total price was 54
• 1/3 of 54 18
• Or, 9 was 1/6 of the price, so 1/3 of the price
  is 2 9 18