WorksheetsPythagorean Theorem And Rational/Irrational Numbers
Total questions: 34
Worksheet time: 2hrs 8mins
Name
Class
Date
1.
0.333333333... is considered a ________ decimal
a)
repeating
b)
terminating
2.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
3.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
√64
d)
-1.325
4.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
5.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
6.
Which number is a rational number?
a)
2.25
b)
-8.78654684598.....
c)
Square root of 99
d)
3.14...
7.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
8.
a)
8
b)
9
c)
10
d)
11
9.
What is the cube root of 1000?
a)
10
b)
100
c)
500
d)
20
10.
√324
a)
17
b)
18
c)
13
d)
14
11.
√289
a)
15
b)
17
c)
14
d)
13
12.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
13.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
14.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
e)
None of them
15.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
16.
Which equation can be used to solve for "x"?
a)
152 – x2 = 212
b)
x2 – 152 = 212
c)
152 + 212 = x2
d)
152 + x2 = 212
17.
Name the longest side of a right triangle.
a)
leg a
b)
leg b
c)
leg
d)
hypotenuse
18.
Determine the length of the missing side.
a)
7
b)
8
c)
17
d)
23
19.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
20.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
21.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
22.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
23.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
15, 20, 25
a)
Yes
b)
No
24.
Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75
18, 73, 75
a)
Yes
b)
No
25.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
26.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
27.
a2 + b2 = c2
a = 9, b = 40, what is c?
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
28.
a)
G
b)
O
c)
E
d)
X
29.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
30.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
31.
The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?
a)
8 feet
b)
5.29 feet
c)
10 feet
d)
14 feet
32.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
33.
Solve by square roots
k2 - 6 = 43
a)
k = √37
b)
k = 37
c)
k = 7
d)
no solution
34.
x2 -4 = 77
a)
9
b)
7
c)
No Real Solutions
d)
8
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