Real Number System
Squares and Cubes
Converse of the Theorem
Pythagorean Theorem
Word Problems
100

What are the categories of the real number system?

Real, Irrational, Rational, Integer, Whole, Natural

100

What is the square root of 49 to the nearest tenth

7

100

A triangle with sides that are 6, 8, and 10

YES it is a right triangle

100

Find a if b = 5 and c = 10.

radical 75

100

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

10 blocks

200

Nichole thinks 0.33 and 1/3 are equivalent. Veronica thinks they are not equivalent. Who is correct?

Veronica

200

What is the square root of 63 to the nearest tenth place

7.9

200

Use the converse of the Pythagorean Theorem to determine if the following side lengths form a right triangle:   3 cm, 4 cm, and 6 cm.

NO it is NOT a right triangle

200

Solve for the missing side:

a = 6 ft
b = ?
c = 10 ft

b = 8 ft

200

Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree.

8.7 feet

300

Is the square root of 3 rational or irrational?

Irrational

300

What is the cube root of (57 - 14 + 21)?

4

300

Daniel thinks a triangle with sides 8, 4, and 7 is a right triangle. James thinks a triangle with sides 8, 4, and 7 is not a right triangle. Who is correct?

James

300

Solve for the missing side length. Leave your answer in radical form.

a = 5 in
b = radical 8 in
c = ?

c = radical 33 in

300

Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen.

26 inches

400

Classify the following number:
square root of 64
          4

Real, Rational, Integer, Whole, Natural

400

What is the square root of 20 to the nearest tenth?

4.5

400

Do the points (-2, 3), (0,0) and (4, 4) form a right triangle?

NO it is NOT a right triangle

400

Write and solve an equation to find the distance between the points (1, 3) and (4, -2). Leave your answer in radical form.

radical 34

400

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

5 meters

500

Which of the following are rational numbers? 3.565565556...
pi
6.38
5.3333...

6.38
5.3333...

500

If the square root of x is 6.8, what is the value of x to the nearest whole number?

46

500

Is a triangle with the following side lengths a right triangle?

8, 5, radical 39

YES it is a right triangle

500

Find the missing side length in the image. 

Radical 181 inches or 13.5 inches

500

Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug.

14.2 feet