Solid Geometry
A rectangular box measures 2 cm × 8 cm × 3 cm. Find the volume
48 cubic cm
y varies directly as x. If y=72 when x=9, find y when x=10
y = 80
If one day of the week is picked at random, what is the probability that the day’s name begins with a consonant?
9/12 = 75%
A deck of 9 soccer cards contains 4 Messi, 2 Ronaldo, and 3 Neymar cards. Elie draws one card, looks at it, puts it back, then draws a second card. What is the probability the second card is Ronaldo given the first card was Messi?
2/9 = 22.22%
There are 6 colors in mastermind. How many 4 color codes can you make if you can repeat colors?
1,296
A rectangular box measures 3 cm × 4 cm × 5 cm. Find the surface area.
94 square cm
y varies inversely as x. If y=16 when x=3, find y when x=8.
y = 6
There are 3 black marbles and 7 white marbles. What is the probability of grabbing a black one?
3/10 = 30%
A bag contains 3 red, 2 blue, and 3 green marbles. Three marbles are drawn without replacement. What is the probability of getting exactly two marbles of the same color?
9/14 = 64.28%
How many 5 letter words are possible in a game of world (nonsensical)?
11,881,376
A cylinder has a radius of 1.5 and a height of 4 (inches). What is the volume?
28.27 inches cubed
Sofia walks her dog 1.5 miles every day from 4:30 - 5:00 PM. Assuming time is directly proportional to speed, how many miles would she walk her dog if she walked until 5:15?
2.25 miles
There are 3 black marbles and 7 white marbles. What is the probability of grabbing a black one and then a white one? (with replacement)
21%
In a class survey, 62% of students own a bike, and 48% like math. If 82% of students own a bike or like math, what percent of students both own a bike and like math?
28%
You, your parents, and your 2 siblings are going to the theaters. How many ways of sitting next to each other exist?
120
A cylinder has a radius of 0.5 and a height of 3 (inches). What is the surface area?
11 squared inches
Four painters together can paint a fence in 10 days working 6 hours per day. If Emma joins them and everyone works 8 hours per day, how many days will it take to finish the fence?
6 Days
Let A = Even #s from 1-20. Let B = multiples of 3 from 1-20. Let C = the intersect of A and B. Find P(C)
15%
A spinner is spun around a circle that is divided up into 50 equally sized sectors. Find P( perfect square | Even)
12%
A teacher wants to choose 4 students from 7 boys and 5 girls to form a committee. What is the probability the committee contains at least one girl?
93%
A cone has a radius of 2 in and height of 4 in. What is the volume?
16.75 cubed inches
It took 20,000 people 20 years to build Taj Mahal. Each worker works at the same rate. How long would it have taken for 25,000 workers to build the Taj Mahal?
16 years
Sofia writes the integers 1 to 20 on pieces of paper, mixes them, and chooses 2 papers at random without replacement. What is the probability the product of the two chosen numbers is odd?
23.7%
The probability that it is Friday and that a student is absent is 0.03. There are 5 days in a week. What is the probability that a student is absent given that today is Friday?
15%