The Real Number System
Volume
Pythagorean Theorem
Exponents
Scientific Notation
Converting To/From Fractions
100
Of the following, which number(s) are irrational?
sqrt11, 2.121212..., 3/11, (2pi)/(5pi), sqrt121
sqrt 11
100
A candy store sells hard candy in the shape of a sphere. If the radius of the candy is 3 cm, what is the approximate volume of the candy?
113.04 cm^3
100
What are the missing lengths of the following triangle? Draw the triangle labeling the correct lengths. Choose from the following numbers: 2, 6, 8, 10, 14
top - 8
hypotenuse - 10
100
Simplify.
3^6*3^2
3^8
100
What is the following number written in standard notation?
8.25 * 10^5
825,000
100
What is 7/11 written as a decimal?
0.bar63
200
Of the following, which number(s) are rational?
sqrt200, 2.5623451..., 3.14159, sqrt225, -11/7
3.14159,
sqrt225, -11/7
200
A candle in the shape of a cylinder has a diameter of 6 in and a height of 5 in. What is the approximate volume of the candle?
141.3 inches^3
200
One side of a right triangle has a length of 5 cm. Another side has a length of 10 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply.
sqrt 50, sqrt75, sqrt125, 5, 15
sqrt75, sqrt125
200
Consider this expression. (3^-2*3^3)/3^-1 What is the value of the expression?
9
200
What is 5.17*10^-6 written in standard notation?
0.00000517
200
DAILY DOUBLE!!!!!! Write a wager on one white board and turn it over on your desk! Write your answer on the other white board!
What is the following written as a fraction? Remember to simplify if needed!
0.91bar6
300
Order the numbers from least to greatest.
pi/2, sqrt25, 3sqrt8, 15/7
pi/2, 15/7, sqrt25, 3sqrt8
300
What is the exact volume of the cone?
150picm^3
300
What is the length, to the nearest unit, of side TU?
9 units
300
What is the value of
root(3)64
4
300
What number multiplied by the expression 5*10^3 is equivalent to the expression
5*10^6 ?
1,000
300
What is the fraction equivalent to
0.7bar3
11/15
400
Simplify.
root(3)8*sqrt36/3-15
-11
400
A tent in the shape of a cone has a volume of 4710 cubic yards. If the height of the tent is 20 yards, what is the radius of the tent?
15 yards
400
DAILY DOUBLE!!!! Write your wager on a white board and turn it over on your desk!
One of the most extreme zip lining experiences is the Zipflyer in Nepal which will drop you 2,000 ft in elevation across the 6,000 ft of cable. If the bus taking you from the landing of the zip line to the beginning of the zip line travels at a pace of 25 miles per hour, how long is the bus ride? Hint: there are 5,280 ft in one mile.
400
The following number represents the number of bacteria found in a petri dish. What is the number of bacteria in the dish?
5(2^3)^2
320 bacteria
400
The speed of light in cold air is approximately 3*10^8 . The speed of sound in cold air is approximately 3*10^2 . The speed of light in cold air is how many times the speed of sound in cold air?
1*10^6
400
What is the fraction that is equivalent to
0.bar78 ?
26/33
500
Televisions are measured by their diagonal. If Susan's TV's diagonal measures the following in inches, how big is her TV rounded to the nearest tenth?
5 sqrt42
32.5 inches
500
Calling all coffee lovers! A super-jumbo-sized drip coffee maker just came out on the market! The beverage is produced as hot water filters through a cone-shaped vessel containing coffee grounds. The cone has a height of 3 inches and diameter of one foot. Assuming that the cone is filled with water, and the water is dripping out at a rate of 10 cu. in. per minute, how long will it take for all of the water to pass through (answer in minutes and seconds)?
11 minutes, 18 seconds.
500
A slide has a ladder that is 13 ft. long. This diagram shows the ladder, slide, and some other dimensions. What is the length of the slide?
15 feet
500
Simplify:
(24m^-4n^3(y^3)^4)/(30(m^-2)^2n^7y^-5
(4y^17)/(5n^4)
500
The area of Europe is about 9.938*10^6 square kilometers, and the area of North America is about
2.4256*10^7 square kilometers. What is the approximate total area, in square kilometers, of Europe and North America combined?
3.4194*10^7
500
What is 0.12bar5 written as a fraction?
113/900