Pythagorean Theorem
Pyramids and Cones
Prob. This or That
Transformations
Probability
100
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
100
What parts of the volume formulas for cones and pyramids are the same?
The both have a 1/3 and h (height) in them.
100
Probability of a coin landing on heads or tails.
2/2, 1, 100%
100
What are the 4 types of transformations we have learned about this year?
Translations, Reflections, Rotations, Dilations
100
What is the difference between a simple probability, independent probability, and a dependent probability?
Simple = 1 event
independent = more than 1 event. Have no effect on one another.
dependent = more than 1 event. One outcome effects the others outcome.
200
Find the distance of the missing side.
10
200
Find the volume of the cone.
12.8 in3
200
Probability of Rolling a 1 or a 2
2/6 or 1/3
200
What would the coordinates of the point A' be after a translation of 4 units down and 5 units left?
( -3 , -2 )
200
You flip a coin and roll a number cube. What is the probability of getting heads and then a 5 on the cube?
1/12 or 0.08 or 8%
300
Find the missing side length of the triangle.
19.5
300
Find the volume of the rectangular based pyramid.
224 cm3
300
A bag has 10 marbles; 1 red, 3 green, 4 orange, 2 blue. What is the probability of picking a green or red marble?
4/10 or 2/5
300
Which axis was figure abc reflected across to form figure a'b'c'?
y - axis
300
Greg has a spinner that has 4 equal parts. Each part has a different color: red, yellow, green, and blue. How many possible outcomes are there if he spins the spinner three times?
64
400
A ladder that is 15ft. long is resting against a wall. If the base of the ladder is 5ft. from the base of the wall, how far up the wall does the ladder reach?
14.1 ft.
400
A square house has a pyramid-shaped attic built under the roof, which you are converting into a spare bedroom. You are installing an air conditioner to cool the room. The area of the base of the room is 2,256.25 ft2, and the attic height is 6ft. How many cubic feet of air are in the empty attic?
4,512.5 ft3
400
Probability of drawing a diamond or a spade
1/2
26/52
400
What would be the same about figure WXYZ after a reflection across the x-axis and then a translation of 6 units right and 2 units up and then a rotation of 180o counterclockwise to form figure W'X'Y'Z'?
Everything except their position because they would be congruent figures.
400
A bag contains 9 blue marbles and 3 red marbles. Two marbles are drawn at random without replacement. What is the probability of drawing a blue marble and then another blue marble?
6/11 or 0.55 or 55%
500
Find the distance between point b and point c.
3.6
500
You have a cone and pyramid with heights of 4 meters. The cone has a diameter of 6 meters and the pyramid has a base area of 36 square meters. How many cubic meters bigger is the pyramid than the cone?
10.3 cubic meters
500
Probability of drawing a face card, answer with simplified fraction (Ace not included)
3/13
500
Would there be a dilation of 4 or 1/4 from the pink triangle to the green triangle and how do you know?
A dilation of 1/4 because the pink triangle is getting smaller to form the green triangle.
500
Twelve people work together: four of them are managers and eight of them are office workers. Two people are chosen at random from the twelve members of the group. Calculate the probability that one is a manager and one is an office worker.
8/33 or 0.24 or 24%