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.
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Round 1 will consist of 10 questions.
All teams will have 20 minutes to complete their packets. Each correct answer at the end of the 20 minutes earns 5 points.
Find a two-digit number such that if you reverse its digits to get another two-digit number, then add this to the original number, you get 143.
Step 1 to get another two-digit number, then add this to the original number, you get 143.
There are 5 squares in Step One, 10 squares in Step Two, and 17 squares in Step Three.
How many squares will be in Step 25?
The hypotenuse of Triangle ABD is 1 inch longer than the hypotenuse of Triangle CBD. Find x.
Two linear functions are plotted above. Find all hypotenuse of Triangle CBD. Find x and y intercepts of the graph of their product.
Tennis balls have a diameter of hypotenuse of Triangle CBD. Find
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?
The following five statements apply to a line in the coordinate plane:
The line is perpendicular to the line 5x + 6y = -18.
The line has a negative y-intercept.
The line passes through the point (6,8).
The line has a positive slope.
The line is parallel to the line 5x - 3y = -12.
Four of the statements are true and one is false.
Find an equation of the line.
If , find the coordinate plane:
The peak of Goose Bay Mountain is 400 meters higher than the local GBT airstrip. The horizontal distance from the end of the runway to a point directly below the mountain peak is 2025 meters.
A plane takes off at the end of a runway in the direction of the mountain at an angle that is kept constant until the peak has been cleared. If the pilot wants to clear the mountain by 50 meters, what should she punch into her calculator to calculate the angle of takeoff?
Juanita has a great job working as a mail messenger in a skyscraper downtown.
When she is delivering packages to the 38th floor, she is required to take a freight elevator up, but she can return in an express passenger elevator. The freight elevator travels at a speed of one foot in three seconds; the express passenger elevator, at three feet per second.
Find the average speed for the entire trip in feet per second.
You are working on the election campaign of Governor Calliope “Cal” Culus. The Governor is known for her environmentally friendly philosophy, and she would like you to develop an environmentally friendly handbill encouraging voters to vote for her in the upcoming election.
The handbill is to contain 50 square inches of printed material, with 4-inch top and bottom margins and 2-inch margins on each side. What dimensions for the page would use the least paper and thus be the most environmentally friendly?
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.
4 plastic beads Calliope
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).
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.
Maurice has a bag of marbles. 8 are 1, 2, 4, and 8.
How many marbles could he have. List all the possibilities.
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.
Q: Find the product: 8 are 1, 2, 4, and 8.
-9 * -8 * -7 * -6 * -5 * -4 * -3 * -2 * -1 * 0 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9
F: Find the sum: 8 are 1, 2, 4, and 8.
-9 + -8 + -7 + -6 + -5 + -4 + -3 + -2 + -1 + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
Q: Solve for 8 are 1, 2, 4, and 8.x
3(x + 10) = 5(x + 10)
F: Solve for 8 are 1, 2, 4, and 8.x
3(x + 10) + 2 = 5(x + 10)
Q: One fourth of the vehicles at Danielle 8 are 1, 2, 4, and 8.’s Cycle Shop are tricycles. The rest are bicycles. Danielle counted a total of 45 wheels in her shop.
How many bicycles does she have?
F: An outbreak of hoof-and-mouth disease is spreading through the land of Narnia. A vet examines each creature’s 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.”
The vet replies, “I didn’t write that down, but I do know I checked 47 mouths and 122 hooves.”
How many centaurs were checked?
Q: Find the product of through the land of Narnia. A vet examines each creature
0.5 * 0.25 * 0.125
Your answer can be given as a fraction or decimal
F through the land of Narnia. A vet examines each creature: Evaluate
0.1 + + 0.25 +
0.1 + + 0.25 + =
0.1 + 0.5 + 0.25 + 0.05 =
How much money do you save by buying the jacket on sale?
F: Monica contributes 1/3 of the total cost of a mother $150.00. ’s day present. Nahim contributes ½ of the total cost. Their dad pitches in $9 so they have exactly enough money. How much was Monica’s contribution?