Scientific Notation
Square Roots
Cube Roots
Pythagorean Theorem
Volume
100
Write the number in standard form: 5.47**10^-3
0.00547
100
Simplify sqrt(25/49)
5/7
100
Simplify root(3)(27
3
100
Find the length of the missing side. Round to the nearest tenth.
5.8 inches
100
Find the volume of sphere with a radius of 12 cm.
Hint: V=4/3pir^3
7,238.2 cm3
200
Write the number in scientific notation:
923,000,000
9.23**10^8
200
Simplify sqrt100+sqrt121
21
200
Simplify root(3)(-1000)
-10
200
Find the length of the missing side. Round to the nearest tenth.
6.7 feet
200
Find the volume of the figure to the nearest tenth. Hint: V=pir^2h
502.7 in3
300
Divide (9.6**10^7)/(1.6**10^3)
Write your answer in scientific notation.
6**10^3
300
Complete the statement with <, >, or =
sqrt (49/9) ______ 2
<
300
Simplify +-root(3)(729)
+-9
300
Is this a right triangle? You MUST have work to support your answer.
No; 61!=64
300
Find the volume of the figure below to the nearest whole number. Hint: V=1/3pir^2h
1,131 m3
400
Multiply (8.2**10^3)**(2.1**10^5)
Write your answer in scientific notation
1.722**10^9
400
Simplify 6+3**sqrt64
30
400
Simplify root(3)(216)-sqrt64
-2
400
Is a triangle with sides sqrt12 cm, sqrt7 cm, and sqrt5 cm a right triangle? You MUST have work to support your answer.
Yes, 12=12
400
The mug below has a volume of 28 in3. What is its height to the nearest inch?
Hint: V=pir^2h
4 inches
500
The area of the Pacific Ocean is approximately 6.4**10^7 square miles. The area of the Gulf of Mexico is approximately 10^5 square miles. How many times greater is the area of the Pacific Ocean than the area of the Gulf of Mexico?
Write your answer in standard form.
640
500
Simplify 5(sqrt(48/3)-2)
10
500
Simplify 13+(root(3)(125))^3
138
500
A 20-foot tall tree casts a shadow that is 5 feet long. What is the distance from the top of the tree to the end of the shadow? Round to the nearest tenth.
20.6 feet
500
The volume of the walking water ball shown below is 4/3pi cubic meters. What is its diameter?
Hint: V=3/4pir^3
2 meters