Rational or Irrational?
Comparing Rational and Irrational Numbers
Perfect Cubes
Problem Solving and Volume
Volume of Circular Solids
100

List at least one way rational and irrational numbers are alike.

What is they are both numbers, both can be written as decimals, both can be square roots?

100

Approximate the square root of 54 to the nearest tenth.

What is 7.3?

100

Is 100 a perfect cube?

What is no?

100

Find the total volume:

What is 178.98 cubic yards?

100

How do you find the volume of a hemi-sphere?

What is find the volume of a sphere and divide by 2 (multiply by half)?

200

List at least one way rational and irrational numbers are different.

What is rational can be written as a fraction, irrational cannot be written as a fraction?

What is rational numbers have decimals that terminate or repeat, while irrational has decimals that never end and never repeat?

What is rational numbers have square roots of perfect squares and irrational numbers have square roots of non-perfect squares?


200

Approximate the square root of 95 to the nearest tenth.

What is 9.7?

200

Is 8 a perfect cube?

What is yes?

200

Find the total volume:

What is 7117.3 cubic units?

200

A cylinder has a radius of 5 meters and a height of 7 meters. What is the volume of this cylinder?

What is 549.5 cubic meters?

300

Name two rational numbers.

What is .... answers will vary?

300

Which number is the largest?

2   square root of 61    2pi


What is 23?
300

Find the volume of a standard Rubik's Cube:

What is 27 cubic units?

300

Find the total volume:

The height of the cylinder is 8 cm.

What is 329.7 cm3?

300

Given a cone with the height of 10 cm and the base radius of 9 cm. Find the volume of this cone.

What is 847.8 cm3?

400

Name two irrational numbers.

What is ... answers will vary?

400

Which number is the largest?

4pi     square root of 144     32

What is 4pi?

400

List at least one way perfect squares and perfect cubes are different.

What is they use different exponents, cubes are multiplied one time more, perfect squares are from area and perfect cubes are from volume?

400

The Ming family has a backyard kiddie pool. After a lot of splashing one afternoon, the pool is only half full. The diameter is 8 ft and the height is 2 ft. What is the volume of water remaining in the pool?

What is 50.24 cubic feet?

400

A sphere has a radius of 7 cm. Find the volume of this sphere.

What is 1436.03 cm3?

500

Name two rational decimals.

What is ... answers will vary?

500

Put the following numbers in order from least to greatest:

23     3pi         cube root of 1000       square root of 77    

What is 

23    square root of 77     3pi     cube root of 1000?

8    8.8     9.42     10

500

List at least one way perfect squares and perfect cubes are alike.

What is they are both numbers, they are named for a geometric object (square, cube), they both have roots (square root, cube root), they both use exponents / repeated multiplication?

500

Drinking glasses are cylinders. Glass A has a radius of 1 inches and a height of 5 inches. Glass B has a radius of 1.5 inches and a height of 4 inches. What is the difference in volume?

What is 12.56 cubic inches?  

500

Given a cylinder with a volume of 502.4 cubic inches and radius 4 inches.  Find the height of the cylinder. Use 3.14 for PI.

What is 10 inches?

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