NO CALCULATOR ALLOWED!
Types of Numbers
Pythagorean
Theorem
100
Is 49 a perfect square?
yes
100
Is pi rational? Why or why not?
No. It is irrational because it goes on forever without repeating.
100
Find the square root of 459 to the nearest hundredth.
21.42
100
Find the square root of 63 to the nearest thousandth.
7.937
200
What is the square root of 196?
14
200
Is the square root of 38 rational? Why or why not?
No. It is irrational because 38 is not a perfect square.
200
A square garden has an area of 256 ft2. What is the length of each side?
16 ft
200
A triangle has sides of 14 m, 10 m, and 18 m. Is it a right triangle? Show your work.
NO!
300
Which two consecutive whole numbers is the square root of 26 between?
5 and 6
300
Name ALL of the number sets that -3 belongs to. (Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers)
Integers and Rational Numbers
300
A gigantic square chocolate chip cookie has an area of 2,025 in.2. What is the length of each side of the square cookie?
45 in.
300
A triangle has legs of 9 cm and 12 cm. What is the length of the hypotenuse?
15 cm
400
Which two consecutive whole numbers is the square root of 93 between?
9 and 10
400
Name ALL of the number sets that 0 belongs to. (Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers)
Whole Numbers, Integers, and Rational Numbers
400
A triangle has sides of 17 in., 15 in., and 8 in. Is it a right triangle? Show your work.
YES!
400
A rectangular sandbox has sides of 5 ft and 8 ft. You plant a row of marigolds diagonally from corner to corner. How long is the row of marigolds, rounded to the nearest tenth?
The row of marigolds is about 9.4 feet long.
500
Which two consecutive whole numbers is the square root of 173 between?
13 and 14
500
Name ALL of the number sets that 75/25 belongs to. (Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers)
Natural Numbers, Whole Numbers, Integers, and Rational Numbers
500
A 25 ft ladder is leaning against a house. The bottom of the ladder is 10 ft away from the house. How tall is the house, rounded to the nearest foot?
The house is about 23 feet tall.
500
Find the length of the side of the triangle that Mrs. Laird shows you.
x = 22 cm