8th Grade Sq/Cube Rts Pythag Thm

Square Roots

100

Square root of 36

6

200

Square roots of 225

15

300

Square root of 77 is between which 2 whole numbers? 

8 and 9

400

square root of 300 is between which 2 whole numbers?

17 and 18

500

If a square has an area of 900 ft squared, what is the length of the sides?   Bonus 200, what is the perimeter of the square?

30 ft.    120 ft

Cube roots

100

Cube root of 27

3

200

cube root of 125

5

300

Cube root of 64,000

40

400

Side length of a cube with a volume of 343ft³

7

500

Side length of a cube with a volume of 15,625in³.

Bonus 200, what is the area of the base?

25 in.   625in²

Pythagorean Theorem

100

The Pythagorean Theorem only works for what type of triangle? 

Right

200

If the legs of a right triangle are 3 and 4, how long is the longest side?

5

300

What is the name of the longest side of a right triangle? (spell correctly)

hypotenuse

400

How long is the hypotenuse of a right triangle that has legs 5cm and 12 cm?

13cm

500

If the hypotenuse is 20 feet long and one leg is 12 feet, how long is the other leg?

16 feet

Application Pythagorean Theorem

100

If you live 5 miles directly north of me and another friend lives 5 miles directly east of me, how many miles would it take you to run directly to the friends house?

7.1 miles

200

You made a triangular garden with side lengths of 40 feet, 60 ft and 72 ft.  Did you make a right triangle garden?

no

300

If a 25 foot ladder is placed 7 feet from the bottom of a house, how high up the house does the ladder reach?

24 feet

400

The diagonal of a tv is 36 inches. The height of the tv is 17.6 inches, how long is it?

31.3 in

500

If you have streets that come together to make a triangle with lengths 80 m, 170m, and 150m, do the streets form a right triangle? (prove it)

yes

Pythagoras

100

What do we call the legs in the Pythagorean Theorem?

a and b

200

Was Pythagoras born in AD or BC?

BC

300

Pythagoras came up with what formula?

a² + b² = c²

400

Was Pythagoras Chinese, Italian, or Greek?

Greek

500

Pythagoras was born on the island of .....

Samos (Greece)

Rational #'s

100

Pi is rational or irrational?

Irrational

200

The five types of real numbers are....

irrational, rational, integers, whole, natural

300

2.134134134 is an irrational or rational number?

rational

400

sq root of 7 is rational or irrational

irrational

500

-2/9 is bigger or smaller than -5/24

smaller

Random

100

How many colors in a rainbow?

7

200

How many days are students in school in one year?

174

300

What year was the Declaration of Independence signed?

1776

400

How many colonies were there originally?

13

500

In what year did Illinois become a state?

1818