Free Printable Pythagorean theorem

1.

Level 1

The Pythagorean Theorem works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

e)

all triangles

2.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

3.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

4.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

5.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

6.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

7.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

8.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

9.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

10.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

11.

Sides a and b are called legs.

a)

true

b)

false

12.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

13.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

14.

Find the distance between the 2 points. Round to the nearest hundredth.

a)

3

b)

2.23

c)

2.24

d)

2.2

15.

Find the distance between the points.

a)

3

b)

4

c)

5

d)

6

16.

Determine the length of the line between C(-5,6) and D(-2, 1)

a)

$\sqrt{74}$

b)

8.6

c)

$\sqrt{33}$

d)

5.8

17.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

18.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

19.

If a = 9 and b = 7, what is c?

a)

130

b)

12.4

c)

11.4

d)

11

20.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

21.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

22.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

23.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

24.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

25.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

26.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

27.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

28.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

29.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

30.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

31.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

32.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

33.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

34.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

35.

If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC.

a)

15°

b)

49°

c)

31°

d)

90°

36.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

37.

Choose the number that is written in scientific notation.

a)

0.78 x 10^-2

b)

7.8 x 10³

c)

78.0 x 10^-4

d)

780 x 10⁵

38.

Which of these numbers is the smallest?

a)

3.5 x10⁷

b)

3 x10⁷

c)

5 x10⁷

d)

5.5 x10⁷

39.

Which of these numbers is the greatest?

a)

9 x 10⁹

b)

8.1 x10⁸

c)

9.02 x10⁹

d)

6.35 x10⁷

40.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

41.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

42.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

43.

What are all names for -7?

a)

rational, real

b)

irrational, real

c)

rational only

d)

irrational only

44.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

45.

We can classify π or PI as _____________.

a)

Rational only

b)

Irrational only

c)

Rational, Real

d)

Irrational, Real

46.

Classify the following number: 1.01276894...

a)

Rational

b)

Irrational

47.

Classify the following: -78

a)

Integer

b)

integer, real

c)

integer, whole, rational

d)

integer, rational, real

48.

1,378,472,706 can best classified as what?

a)

natural, whole, integer, rational

b)

whole, integer, rational

c)

rational

d)

natural, whole, integer, rational, real

49.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

50.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

51.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

52.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

53.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

54.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

55.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

56.

What is the highest score in the class?

a)

88%

b)

100%

c)

13

d)

98%

57.

How many students received a score of 94%?

a)

94

b)

4

c)

1

d)

2

58.

How many total students are in the science class?

a)

13

b)

6

c)

27

d)

25

59.

What is the range of the test scores?

a)

15

b)

100

c)

6

d)

10

60.

What is the MODE of this data?

a)

90

b)

85, 90, and 95

c)

85 and 95

d)

None

61.

The median is

a)

The middle score

b)

Scores added & divided by the number of scores

c)

The most frequent score

d)

The middle when in order

62.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

Pythagorean theorem

Total questions: 62

Worksheet time: 2hrs 13mins

Similar Resources on Wayground