8th Grade Sq/Cube Rts Pythag Theorem

Square Roots

100

Square root of 36

6

200

Square root of 225

15

300

What is the square root of 77 rounded to the nearest tenth? 

8.8

400

What is the square root of 275 rounded to the nearest hundreth?

16.58

500

If a square has an area of 900 square feet, what is the length of the sides?   

Bonus [+200 points] 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 343 ft³

7

500

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

Bonus [+200 points] - What is the area of the base?

25 in.   

625in²

Pythagorean Theorem

100

What kind of triangles does the Pythagorean Theorem work for?

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?

hypotenuse

400

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

13 cm

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? (to the nearest tenth)

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 wide is it? (nearest tenth)

31.3 in

500

If you have streets that come together to make a triangle that have lengths of 80 m, 170 m and 150 m, do the streets form a right triangle?

Yes

Pythagorus

100

What is the name of what Pythagoras came up with?

Pythagorean Theorem

200

Was Pythagoras born in AD or BC?

BC

300

Pythagoras came up with what formula?

a² + b² = c²

400

What Pythagoras Chinese, Italian, or Greek?

Greek

500

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

Samos (Greece)

Areas

100

What is the area of Figure #1 on the board?

12 square meters

200

What is the area of figure #2 on the board?

12 ft²

300

What is the area of the square figure #3 on the board?

49 square yards

400

What is the are of the triangle in figure #4 on the board?

12 in²

500

What is the total area of the figure #5 on the board? 

21 square inches

Random

100

How many colors in a rainbow?

7

200

How many days are there in a standard school year?

180

300

What year was Mr. Stuck born?

1978

400

What farm animals does Mr. Stuck have?

Chickens

500

Mr. Stuck's favorite football team?

Da' Bills!