Free Printable Math 9 Long test

1.

Convert to radians.

60˚

a)

$\frac{\pi}{60}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{3}$

2.

Convert to radians.

540˚

a)

$54\pi$

b)

$3\pi$

c)

$5\pi$

3.

Convert to radians.

810˚

a)

$\frac{9\pi}{2}$

b)

$\frac{3\pi}{2}$

c)

$\frac{5\pi}{2}$

4.

Convert to degrees.

$\frac{13}{60}\pi$

a)

$39\degree$

b)

$13\degree$

c)

$60\degree$

5.

Convert to degrees.

$\frac{37}{90}\pi$

a)

$37\degree$

b)

$74\degree$

c)

$90\degree$

6.

Convert to degrees.

$\frac{3}{8}\pi$

a)

$37.5\degree$

b)

$74.5\degree$

c)

$67.5\degree$

7.

Find the arc length of a sector with 4 cm radius and an angle of 1.25 rad.

a)

3

b)

2.5

c)

5

8.

Find the arc length of a sector with 6 cm radius and an angle of 1.5 rad.

a)

6

b)

9

c)

5

9.

Find the arc length of a sector with 8 cm radius and an angle of 2 rad.

a)

16

b)

19

c)

15

10.

Find the arc length of a sector with 12 cm radius and an angle of 0.8 rad.

a)

6.6

b)

9.6

c)

5.6

11.

Find the area of the sector with 12 cm radius and an angle of 0.8 rad.

a)

67.6

b)

57.6

c)

75.6

12.

Find the area of the sector with 8 cm radius and an angle of 2 rad.

a)

64

b)

54

c)

74

13.

Find the area of the sector with 6 cm radius and an angle of 1.5 rad.

a)

67

b)

57

c)

27

14.

Find the area of the sector with 4 cm radius and an angle of 1.25 rad.

a)

10

b)

20

c)

30

15.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

16.

What is sin^-1(1/2)?

a)

150

b)

120

c)

60

d)

30

17.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

18.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

19.

Find m∠N

a)

14

b)

65

c)

76

d)

53

20.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

21.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

22.

What are the 3 basic trig functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

23.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

24.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

25.

What is the height of the tree? Round to the nearest foot.

a)

38 ft

b)

63 ft

c)

20 ft

d)

98 ft

26.

What is the value of d? Round to the nearest tenth of a meter.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

27.

Find the measure of the missing angle. Round to the nearest degree.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

28.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.2

d)

19.4

29.

Solve for the missing angle. Round the nearest degree.

a)

50

b)

1

c)

37

d)

95

30.

Find the value of x. Round to the nearest tenth.

a)

12.2

b)

14.6

c)

16

d)

15.4

31.

Find the length of x. Round the nearest hundredth.

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

32.

Find the length of x. Round the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

33.

The 3 sides, with respect to angle A are :

a)

Hypotenuse = 5
Adjacent Leg = 3
Opposite Leg = 4

b)

Hypotenuse = 5
Adjacent Leg = 4
Opposite Leg = 3

c)

Hypotenuse = 3
Adjacent Leg = 4
Opposite Leg = 5

d)

Hypotenuse = 3
Adjacent Leg = 5
Opposite Leg = 4

34.

Which of the following is correct for finding the measure of angle Z?

a)

∠Z = tan^-1 55/48

b)

∠Z = sin^-1 48/55

c)

∠Z = cos^-1 55/73

d)

∠Z = tan^-1 48/73

35.

Susan is flying a kite, which gets caught at 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

36.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

37.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

38.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

39.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

40.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

Math 9 Long test

Total questions: 40

Worksheet time: 1hrs 24mins

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