Volume
What is the AREA OF THE BASE.
What is the formula that would be used to calculate to total surface area of a cylinder?
What is 2(pi)(r)(h) + 2(pi)(r)2
DAILY DOUBLE
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There is one word in the dictionary that is spelled wrong. What is it?
What is the test used to determine if a graph represents a function?
A triangle has a 47 degree angle and a 89 degree angle. Based on this information, how many degrees is the third angle in this triangle?
44 degrees
DAILY DOUBLE
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Kate's mother has 3 children, Snap, Crackle and ________?
The base of a triangular prism is an equilateral triangle with side lengths of 8 mm. The height of the prism is 15 mm. What is the lateral surface area of the triangular prism?
What is 360 mm2
A pentagon is translated using the following algebraic rule: (x,y)-->(x+2,y-5)
Explain what happened to the resulting pentagon.
The pentagon moved 2 units to the right and down 5 units.
{(3, 7), (8, 4), (-3, 7), (5, 4)}
Does this set of ordered pairs represent a function? (This answer is worth 100 points)
How do you know?
(This answer is worth 100 points)
Yes because the x values are each only associated with one y value.
Or
Yes, because x does not repeat.
True/False: When a polygon is rotated on a coordinate grid the resulting image is not congruent to the original image.
False, rotated images are congruent to each other.
Abraham has 10 nickels in a stack. Each nickel has a thickness of 0.5 cm and a diameter of 4.8 cm. What is the volume of the entire stack of nickels?
What is 90.48 cubic centimeters?
What is the lateral surface area of a cylinder with a 15 inch radius and a height of 8 inches?
What is 753.98 square inches.
A triangle is located in quadrant 2 on a coordinate axis. The triangle is rotated 90 degrees clockwise with the origin as the center of rotation.
Part 1: (Worth 150 points) Which quadrant will the triangle be in after the rotation?
Part 2: (Worth 150 points) What will happen to the original x and y coordinates after the rotation?
Part 1: The triangle will be in the first quadrant
Part 2: The original x and y will switch spots and the original x will go from being negative to positive.
or
(x,y)-->(y,-x)
Show an example of a mapping diagram that does NOT represent a function.
Your diagram should have multiple arrows beginning from a single x value.
DAILY DOUBLE
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When Griffin was 8 his brother was half his age. Griffin is now 14, how old is is brother?
A traffic cone is 27 inches tall and, at it's base, the diameter is 15 inches. What is the volume of the traffic cone?
What is 1590.43 cubic inches?
What is the total surface area of a cylinder with a diameter of 19.5 cm and a height of 33.75 cm?
What is 2664.86 cm2
A polygon is reflected across the x axis. What is the algebraic rule that would represent this transformation?
(x,y)-->(x,-y)
DAILY DOUBLE
How many points would your team like to risk? If you are correct you will add these points to your score, but if you are incorrect you will lose these points.
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It has keys but no locks, it has space but no room, you can enter but can not go inside. What is it?
Felix got a job working at the concession stand at the movie theater. Felix was given a one time hiring bonus when he was first hired and earns a set hourly rate. Below you will see the total amount of money Felix earned for a variety of time periods worked. How much money does Felix earn per hour at his job?
2.5 hours worked = $31.25
4 hours worked = $44.00
7.5 hours worked = $73.75
Felix earns $8.50 per hour.
The diameter of the earth is 7,917.5 miles. What is the approximate volume of the northern hemisphere?
For credit your answer must be recorded in SCIENTIFIC NOTATION.
What is 1.299 x 1011 cubic miles?
DAILY DOUBLE
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You are running a race, and at the very end you pass the person in 2nd place. What place did you finish the race in?
A rectangle is on a coordinate grid with one vertex located at the coordinates (2, -5). The rectangle is then dilated by a scale factor of 3.5. Use this information to fill in the blanks below (each correct answer is worth 125 points)
The dilated image will be ____________ than the original image. The new coordinates of the vertex will be ___________. The angles of the dilated image are _____________ to the original and the ______________ side lengths are proportional.
Possible answers for the first blank: 3.5 times larger, an enlargement, bigger
2nd blank: (7, -17.5)
3rd blank: congruent
4th blank: corresponding
x | 5 | 7 | -3 | 4 | 7 |
y | 5 | -2| 4 | -1| -2|
Does the table above represent a function?
YES, this is a function because, although the 7 repeats itself in the x value row, it is paired both times with -2 from the y value row.
A gym charges a one time joining fee and a monthly membership fee. Below you will see the money paid for a variety of months of membership. Based on this information what is the membership fee (worth 250 points) and what is the one time joining fee (worth 250 points)?
3 months = $195
7 months = $415
10 months = $580
The one time join fee is $30 and the monthly membership fee is $55.