Free Printable quiz

1.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

2.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

3.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

4.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

5.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

6.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

7.

Find x.

a)

12

b)

√2

c)

√3

d)

6

8.

What is the measure of side c?

a)

7

b)

$\frac{7}{\sqrt{2}}$

c)

7√2

d)

14

9.

What is the measure of side c?

a)

6

b)

6√2

c)

6√3

d)

12

10.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

$\frac{10}{\sqrt{2}}$

11.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

12.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

13.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

14.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

15.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

16.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

17.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

18.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

19.

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

a)

8√2

b)

4√2

c)

4

d)

8

20.

Classify the triangle as acute, obtuse, or right. 7, 15, 21

a)

Obtuse

b)

Right

c)

Acute

21.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

22.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

23.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

24.

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

a)

4√2

b)

4

c)

8

d)

4√3

25.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

26.

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

a)

8√2

b)

4√2

c)

4

d)

8

27.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

28.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

29.

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

30.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

31.

I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 6 by 2

b)

Multiply 6 by √3

c)

Divide 6 by 2

d)

Divide 6 by √3

32.

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

33.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

34.

I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?

a)

Divide 8 by √3

b)

Divide 8 by 2

c)

Divide 8 by 2, then multiply that answer by √2

d)

Divide 8 by √3, then multiply that answer by 2

35.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 1.5√3 y =1.5

c)

x = 3√3 y = 6

d)

x = √3 y = 2√3

36.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 3√3 y = 3√2

37.

What are u and v in this 30-60-90 triangle?

a)

v = 2√3 u = 6

b)

v = 4 u = 4√3

c)

v = 4 u = 4√2

d)

v = 4√3 u = 8√3

38.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

39.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

40.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

41.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

42.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

43.

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)

42 miles

c)

37 miles

d)

40 miles

44.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

45.

What is the longest side of a right triangle called?

a)

A. Leg A

b)

B. Leg B

c)

C. Hypotenuse

d)

D. Pythagorean Theorem

46.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

47.

What is the relationship between the sides in the Pythagorean Theorem shown?

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

48.

What is the length of the missing side?

a)

3

b)

8

c)

12

d)

18

49.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

50.

Which equation reflects the right triangle shown?

a)

x² + 14² = 20²

b)

14² + 20² = x²

c)

14² – 20² = x²

d)

x² – 14² = 20²

51.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

52.

Which Pythagorean Triple does the picture illustrate?

a)

4, 5, 6

b)

2, 3, 4

c)

3, 4, 5

d)

1, 2, 3

53.

Find the value of "c"

a)

c = 8

b)

c = 10

c)

c = √52

d)

c = √20

54.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

55.

Which equation can NOT be used to find the length of the missing side?

a)

12² + 13² = x²

b)

x² + 12² = 13²

c)

13² – 12² = x²

d)

13² – x² = 12²

56.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

57.

What is the value of "x"?

a)

28

b)

20

c)

10.6

d)

4

58.

The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

a)

13

b)

14

c)

26

d)

34

59.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

60.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

61.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

62.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

63.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

64.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

65.

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

66.

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

67.

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

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

68.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

69.

solve for c

a)

7

b)

9

c)

4

d)

13

70.

Sides a and b are called legs.

a)

true

b)

false

71.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

72.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

73.

What is the value of "x" in the diagram below?

a)

2.5

b)

5

c)

5√3

d)

10

74.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

75.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

76.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

77.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

78.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

79.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

80.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

81.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

82.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

83.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

84.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

85.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

86.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

87.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

88.

Find m∠N

a)

14

b)

65

c)

76

d)

53

89.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

90.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

91.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

92.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

93.

Solve for x.

a)

10

b)

11.3

c)

12.0

d)

15.0

94.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

95.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

96.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

97.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

98.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

99.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

100.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

101.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

102.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

103.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

104.

Find x.

a)

14.3

b)

7.3

c)

31.4

d)

35.2

105.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

106.

Find x.

a)

41.8

b)

48.2

c)

33.7

107.

Find x.

a)

28.9

b)

61.1

c)

64.2

d)

25.8

108.

Find x.

a)

12.8

b)

77.2

c)

12.5

d)

77.5

109.

Find x.

a)

18.6

b)

21.3

c)

9.2

d)

12.2

110.

Find x.

a)

8.5

b)

31.9

c)

8.8

d)

34.2

111.

Find x.

a)

15.8

b)

12.3

c)

25.6

d)

15.6

112.

Find x.

a)

38.7

b)

32

c)

58

d)

51.3

113.

Find x.

a)

27

b)

63

c)

24.4

d)

65.6

114.

Find x.

a)

54.9

b)

35.1

c)

50.7

d)

39.3

115.

Find x.

a)

2.3

b)

5.6

c)

9.8

d)

11

116.

Find the length of the ramp.

a)

5.7

b)

44.6

c)

41.7

d)

17.1

117.

Find angle CDB.

a)

68.7

b)

21.3

c)

19.3

d)

22

118.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

119.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

120.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

121.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

122.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

123.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

quiz

Total questions: 123

Worksheet time: 5hrs 8mins

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