Free Printable Pythagoras

1.

What was Pythagoras' first name?

a)

Peter

b)

Sampson

c)

He didn't have one

d)

George

2.

What island was Pythagoras born on?

a)

Samos

b)

Hawaii

c)

Galapagos

d)

Island of Pythagoras

3.

Pythagoras started a secret brotherhood called __________.

a)

Math Geeks

b)

The Pythagoreans

c)

Pupils of Pythagoras

d)

Mu Alpha Theta

4.

The symbol of his secret group was __________.

a)

gold wreath

b)

equilateral triangle

c)

five-pointed star

d)

right triangle

5.

When Pythagoras discovered the Pythagorean Theorem, he offered __________ oxen to the gods.

a)

1

b)

10

c)

100

d)

1000

6.

His brotherhood discovered __________ numbers.

a)

integers

b)

complex

c)

rational

d)

irrational

7.

Pythagoras' first "unofficial" school consisted of __________.

a)

a boy from the market place he paid to listen to him

b)

Kings and wealthy people

c)

his family

d)

students from the local elementary school

8.

His first "official" school taught four subjects: number theory, geometry, astronomy and __________.

a)

history

b)

music

c)

grammar

d)

chemistry

9.

"__________ rule the universe" according to Pythagoras.

a)

Numbers

b)

Smart people

c)

Oxen

d)

Stars

10.

One member of the brotherhood "leaked" a secret discovery and was later found __________.

a)

hanged

b)

put in jail

c)

drowned

d)

shot

11.

These people also have proofs of the Pythagorean Theorem

a)

Lewis Carroll

b)

President Garfield

c)

Leonardo da Vinci

d)

President Lincoln

e)

Albert Einstein

12.

Pythagoras divided numbers into _______________.

a)

even and odd

b)

positive and negative

c)

prime and composite

d)

integers and whole numbers

13.

Pythagoras taught _______________.

a)

on a stage

b)

by the river

c)

in his house

d)

in a church

14.

Pythagoras used _______________ as visual aids.

a)

colored pebbles

b)

beads

c)

sticks

d)

pennies

15.

The Pythagoreans

a)

were very social.

b)

were vegetarians.

c)

hated animals.

d)

wore wool robes.

16.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

17.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

18.

Berdasarkan gambar di atas, pernyataan

yang tidak sesuai dengan teorema Pythagoras adalah ....

a)

x² = z² – y²

b)

y² = z² – x²

c)

z² = y² + x²

d)

z² = y² – x²

19.

Round to the nearest hundredth.

a)

5.57

b)

10.63

c)

5.32

d)

9

20.

Does an 8, 15, 16 triangle have a Right Angle?

a)

Yes

b)

no

21.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

22.

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

35

b)

22

c)

58

d)

75

23.

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow.?

a)

9 feet

b)

6 feet

c)

6.7 feet

d)

9.7 feet

24.

Is this triangle a right triangle?

a)

yes

b)

no

25.

Identify the hypotenuse.

a)

x

b)

z

c)

w

26.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

27.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

28.

Find x.

a)

35

b)

20

c)

8

d)

12

29.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

30.

a)

11

b)

12

c)

9.8

d)

11.5

31.

a)

36.1

b)

36

c)

38.5

d)

32.1

32.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

33.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

34.

Which of the following are not right angled triangled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

d)

37cm, 35cm, 48cm

35.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

36.

PQ is the base of a right angled triangle... RQ is the height of the right angled triangle... Then, determine the hypotenuse of the right angled triangle.

a)

PQR

b)

RQP

c)

QP

d)

PR

37.

Given that the height of the wall is 2m , then what is the length of the plank that leans against the wall ?

a)

6.8

b)

1.7

c)

2.5

d)

3.9

38.

In a computer catalog, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?

a)

22 cm

b)

23 cm

c)

24 cm

d)

25 cm

39.

Identify the hypotenuse.

a)

x

b)

z

c)

w

40.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

41.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

42.

Find x.

a)

35

b)

20

c)

8

d)

12

43.

a)

36.1

b)

36

c)

38.5

d)

32.1

44.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

45.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

46.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

e)

Acute-angled triangle

47.

What is the relation between the three sides of the right-angle triangle in the figure?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

48.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

49.

Calculate

a)

5

b)

4.5

c)

8

d)

10

50.

Calculate

a)

8

b)

3.5

c)

6.7

d)

7

51.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

52.

Calculate

a)

8.6

b)

8.9

c)

9

d)

12

53.

Calculate

a)

13.5

b)

12

c)

14.3

d)

11

54.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

55.

Calculate

a)

10

b)

10.6

c)

10.4

d)

9.3

56.

a)

11

b)

12

c)

9.8

d)

11.5

57.

a)

36.1

b)

36

c)

38.5

d)

32.1

58.

Calculate

a)

5

b)

6

c)

5.5

d)

8

59.

Calculate

a)

6.5

b)

8

c)

3

d)

4

60.

Calculate

a)

6

b)

6.3

c)

7.8

d)

9

61.

Calculate

a)

8.7

b)

12.3

c)

8.2

d)

9

62.

Calculate

a)

9

b)

7.8

c)

6

d)

6.7

63.

Calculate

a)

9.8

b)

5.4

c)

7.8

d)

10.4

64.

Calculate

a)

2

b)

4

c)

2.6

d)

6.7

65.

Calculate

a)

4.5

b)

6

c)

9.8

d)

4.9

66.

Calculate

a)

18.7

b)

18

c)

22

d)

17.6

67.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

68.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

69.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

70.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

71.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

72.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

73.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

74.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

75.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

76.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

77.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

78.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

79.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

80.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

81.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

82.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

83.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

84.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

85.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

86.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

Pythagoras

Total questions: 86

Worksheet time: 1hrs 26mins

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