Free Printable Pythagorean Theorem QUIZ

1.

The longest side of a triangle is always the...

a)

hypotenuse

b)

leg

c)

right angle

d)

base

2.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

3.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

4.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

5.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

6.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

7.

The length of the hypotenuse of a right triangle is 13 cm. If one leg measures 12 cm, how long is the other leg?

a)

2 cm

b)

5 cm

c)

25 cm

d)

18 cm

8.

Which of the following statements is true?

a)

The leg of a right triangle must be shorter than the hypotenuse

b)

The leg of a right triangle can have the same measure as the hypotenuse

c)

The Pythagorean Theorem can be used to find the missing side of any triangle

d)

The square of the hypotenuse of a right triangle is equal to the difference of the squares of the legs

9.

What is the value of x?

a)

9 in

b)

19 in

c)

81 in

d)

none of these

10.

Solve for x. SIMPLIFY your radical answer completely.

a)

2√6

b)

6√2

c)

4√6

d)

6√4

11.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√2

b)

2√4

c)

2√2

d)

16√2

12.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√22

b)

22√4

c)

22√2

d)

2√22

13.

Solve for x. SIMPLIFY your radical answer completely.

a)

√181

b)

90

c)

19

d)

√19

14.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

15.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

16.

Find the missing side and leave your answer in simplest radical form.

a)

b)

c)

d)

17.

Determine whether the following lengths create a right, acute, or obtuse triangle or no triangle.

11, 11, 15

a)

right

b)

acute

c)

obtuse

d)

no triangle

18.

Determine whether the following lengths create a right, acute, or obtuse triangle or no triangle.

5, 7, 13

a)

right

b)

acute

c)

obtuse

d)

no triangle

19.

Determine whether the following lengths create a right, acute, or obtuse triangle or no triangle.

20, 40, 50

a)

right

b)

acute

c)

obtuse

d)

no triangle

20.

Determine whether the following lengths create a right, acute, or obtuse triangle or no triangle.

6, 8, 10

a)

right

b)

acute

c)

obtuse

d)

no triangle

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)

200

b)

210

c)

79

d)

150

22.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

23.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

24.

Find the perimeter of a rhombus with diagonals 10 and 24.

a)

13

b)

68

c)

$60\sqrt{2}$

d)

52

25.

Ringo walked on a path on which he only made right angle turns. He went 3 miles north, then 10 miles east, then 4 miles north, and finally 14 miles east. If he flew straight home on a line, then how far did he fly?

a)

$18\sqrt{2}$

b)

25

c)

$\sqrt{493}$

d)

18.8

26.

Find the altitude (height) of an isosceles trapezoid whose sides have lengths 10, 20, 10 and 30.

a)

$5\sqrt{3}$

b)

10 $\sqrt{2}$

c)

8

d)

6

27.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

28.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

29.

9² = ?

a)

81

b)

90

c)

99

d)

72

30.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

31.

Find the distance between the two points.

a)

2.2 units

b)

3.5 units

c)

4.1 units

d)

2.7 units

32.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

33.

$y^0=$

a)

y

b)

0

c)

1

d)

10

34.

$x^3\cdot x^4\ =$

a)

$x^{12\ }$

b)

$x^{-1}$

c)

$x^7$

d)

$x^{34}$

35.

$\frac{9x^2}{3x^{ }}=$

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

36.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

37.

$\left(x^5\right)^4$

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

38.

$\frac{3x^2}{7x^2}$

a)

$\frac{3x}{7x}$

b)

$\frac{3}{7}$

c)

$\frac{3^2}{7^2}$

d)

$0.4285$

39.

$\frac{5r^3}{8r}$

a)

$\frac{5r^2}{8}$

b)

$\frac{5}{8}$

c)

$5r^2$

d)

$\frac{5}{8r}$

40.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

41.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

42.

Simplify the following
(no negative exponents):

$\left(x^4\right)^{-3}\cdot2x^4$

a)

$\frac{2}{x^8}$

b)

$\frac{2^4}{x^8}$

c)

$\frac{1}{2x^8}$

d)

$2x^{-12}x^4$

43.

What is equivalent to 5 squared?

a)

25

b)

10

c)

55

d)

30

44.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

45.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

46.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

Pythagorean Theorem QUIZ

Total questions: 46

Worksheet time: 3hrs 59mins

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