Rational and Irrational Numbers

Square and Cubed Numbers (no calculator)

100

5 squared

25

200

7 squared 

49

300

2 cubed

8

400

3 cubed 

27

500

10 cubed - 8 squared

936

Rational or Irrational?

100

17

Rational

200

The square root of 36

6. Rational.

300

1.3 repeating

Rational.

400

The square root of 1.6.

Irrational.

500

Pi

Irrational

Approximate the Square Root

100

The square root of 85 is closest to what whole number?

9

200

The square root of 27 is closet to what whole number?

5

300

The square root of 50 is between which whole numbers?

7 and 8

400

The square root of 120 is closest to which whole number?

11

500

Round the square root of each number to the nearest whole number. Then, find the difference.

The approximate square root of 83 minus the approximate square root of 18.

9 - 4 = 5

Pythagorean Theorem

100

What is the equation for the pythagorean theorem?

a²+b²=c²

200

Solve for c:

3²+5²=c²

The square root of 34 equal c.

300

Solve for c.

2² + 8² = c²

The square root of 68 is equal to c.

400

Is this a right triangle?

3² + 4² = 5²

Yes. 9 + 16 = 25.

500

How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12-foot tall wall? Label your answer.

9 ft from the wall

Volume of Shapes

100

What is the equation for the volume of a cylinder?

V = pi x radius² x height

200

What is the volume of a cone?

V = 1/3 x pi x r² x height

300

What is the volume of a sphere? 

V = 4/3 x pi x radius³

400

Find the volume of a sphere that has a diameter of 24 feet. Round your answer to the nearest tenths place. Label your answer. 

7,238.2 feet³

500

Find the difference in volume between a sphere that has a volume of 200 and a cone that has radius of 4 and a height of 8.

The difference is about 134.