Perfect Squares
Estimating Square Roots
Real Numbers
Comparing and Ordering Rational Numbers
For Fun
100

What is 15²?

225

100

Between which two consecutive whole numbers does √50 lie?

7 & 8

100

Is 7 rational or irrational?

Rational

100

Compare using <, >, or =: √16 ___ 5

< (4 < 5)

100

How many continents are there?

7

200

What is √196?

14

200

Is √30 closer to 5 or 6? Explain.

5, because 30 is only 5 away from 25 but 6 away from 36.

200

Classify √25 as rational or irrational.

rational 

200

Which is greater: √10 or 3?

√10 (≈ 3.16)

200

Who invented the light bulb? 

Thomas edison

300

What are both square roots of 121?

11 & -11

300

Estimate √40

Between 6 and 7 

300

Is 0.333… rational or irrational? Explain.

Rational. It's a repeating decimal equal to 1/3.

300

Compare using <, >, or =: π ___ 22/7

< (π ≈ 3.1416, 22/7 ≈ 3.1429)

300

What do you call an angle that's greater than 90 but less than 180 degrees?

obtuse

400

A square pool has an area of 289. What is the measure of one of it's sides?

17

400

Estimate √77

Between 8 and 9

400

Name every set of numbers that −8 belongs to.

rational, integer

400

Order from least to greatest: √5, 2.3, 9/4, −√3

−√3, √5, 9/4, 2.3 (≈ −1.73, 2.24, 2.25, 2.3)

400

What is the hardest natural substance on earth?

diamond

500

A square garden has an area of 144 square feet. What is it's perimeter?

48 ft

500

A square courtyard has an area of 130 square feet. Estimate the side length

Between 11 & 12 ft

500

Give an example of a real number that is not rational and explain how you know.

answers vary

500

Order from least to greatest: √50, 7, 7.1, 50/7

7, √50, 7.1, 50/7 (≈ 7, 7.07, 7.1, 7.14)

500

Which 4 presidents are on Mount Rushmore?

George Washington, Abraham Lincoln, Thomas Jefferson, and Theodore Roosevelt