7th
Proportions and Variations
Proportions and Variations
If my tires make 975 revolutions every 3 minutes, what is the unit rate?
975/3 = 325 revolutions per minute.
If a rectangular prism has dimensions of 5ft, 2ft and 3ft, then what is its surface area?
62ft^2
If you roll a six-sided die twelve times how many times should you expect to roll a one?
Twice.
If y=6x-5, what is the slope and y-intercept?
Slope = 6
Y-Intercept = -5
If two angles are added together and their sum is equal to 90 degrees, then they are considered....
Complementary
If a line passes through points (-3,-3) and (1,1) then what is its slope?
It has a slope of 1.
A cylinder has a diamter of 8m and a height of 2m. What is its Surface Area?
Surface Area of a Cylinder is 2 x 3.14 x r x (r + h).
So 2 x 3.14 x 4 x (4+2) = 150.8m^2
There is a game spinner with 10 different sections. The spinner has 2 red, 3 blue, 1 green, and 4 yellow. If I spin 15 times how many times should I expect to land on red?
3 times.
No
A triangle has two known angles of 50 degrees and 55 degrees. What is the value of the missing angle?
75 degrees
Do 4/9 and 2/3 form a proportion?
No they do not.
A cone has a height of 6cm and a base of 3cm. What is its volume?
(1/3) x 3.14 x 1.5^2 x 6 = 14.1cm^3
There is a game spinner with 10 sections. The colors are 2 red, 3 blue, 1 green and 4 yellow. What is the probability of not landing on blue?
7/10
Solve the equation:
2x+6=4x-12
x=9
If a polygon has 13 sides then what is the sum of all its angles?
(n-2) x 180
11 x 180 = 1980
How many kg is 56lbs?
1 pound is equal to .4 kilograms, so
56 x .45 = 25.2 kilograms
A baseball team uses a heated tub to treat injuries. What is the capacity of the tub in liters if its dimensions are 150cm x 150cm x 80cm?
1L = 1000cm^3
150 x 150 x 80 = 1800000cm^3 =1800L^3
You have a bag of 60 assorted mints. You randomly choose six mints. Two of the mints you choose are peppermints. How many of the 60 mints would you expect to be peppermints?
1/3 of the mints were peppermints so we should expect 20 out of 60 to be peppermint.
If 2x-y=16 and
y=12+x
What are the values of x and y?
x = 28
y = 40
A 4-sided polygon has known angle measures of 60, 128, and 95. What is the value of the missing angle?
77 degrees
A specific shade of green glaze requires 5 parts blue to 3 parts yellow. A glaze mixture contains 25 quarts of blue and 9 quarts of yellow. How can you fix the mixture to make the specific shade of green glaze?
Add 6 quarts of yellow.
You are making smoothies. You will use wither the cone-shaped glass or the cylindrical glass. Which glass holds more if both have a diameter of 5in and a height of 5in?
The cylinder glass.
The names of 49 middle school students are placed in a hat. The probability of randomly drawing the name of a seventh-grade student is 3/7. How many seventh-grade students' names are in the hat?
21
A math class has a test today. There are 30 problems on the test. There are multiple choice and word problems. Multiple choice are worth 2 points and word problems are worth 5 points. The test is worth 75 points. How many multiple choice and word problems are on the test?
25 multiple choice
5 word problems
Two lines intersect. How many angles are created from this intersection and if you're given the value of one of the angles can you find the value of all the rest?
4 angles are created.
Each of the angles created is supplementary with at least two others, so if you're given one of the angles you can find the other three.