Free Printable Precal Review (Part 2)

1.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

2.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

3.

What is $\frac{2\pi}{3}$ radians in degrees?

a)

$150\degree$

b)

$120\degree$

c)

$180\degree$

d)

$30\degree$

4.

What is $270\degree$ in radians?

a)

$\frac{\pi}{4}$

b)

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

c)

$\frac{3\pi}{4}$

d)

$\frac{\pi}{2}$

5.

What is $\frac{7\pi}{4}$ in degrees?

a)

$300\degree$

b)

$135\degree$

c)

$315\degree$

d)

$45\degree$

6.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

7.

Convert 150⁰ to radians

a)

$\frac{5\pi}{6}$

b)

$\frac{3\pi}{4}$

c)

$\frac{7\pi}{6}$

d)

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

8.

Convert $\frac{\pi}{3}$ radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

9.

Convert $\frac{\pi}{4}$ to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

10.

$\frac{8\pi}{3}$ is equivalent to what degree measure?

a)

$480\degree$

b)

$240\degree$

c)

$800\degree$

d)

$24\degree$

11.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

12.

How many DEGREES are in a circle?

a)

180^o

b)

360^o

c)

π rad

d)

2π rad

13.

How many RADIANS are in a circle?

a)

180^o

b)

360^o

c)

π rad

d)

2π rad

14.

What is 10° in radians?

a)

π/18

b)

2π/5

c)

π/6

d)

π/9

15.

what is 165° in radians?

a)

13π/12

b)

7π/12

c)

19π/12

d)

11π/12

16.

What is 285° in radians?

a)

15π/12

b)

13π/12

c)

19π/12

d)

7π/3

17.

Convert -40^o into Radians

a)

-4π / 8

b)

-8π / 9

c)

-2π / 9

d)

-5π / 8

18.

what is π/12 in degrees?

a)

75°

b)

15°

c)

105°

d)

60°

19.

Find the arc length indicated by the bolded arc.

a)

8.3 in

b)

7.2 in

c)

6.8 in

d)

6.4 in

20.

Find the arc length indicated by the bolded arc.

a)

17.3 km

b)

79.1 km

c)

95.0 km

d)

99.0 km

21.

Find the arc length indicated by the bolded arc.

a)

8.4 mi

b)

9.4 mi

c)

60.2 mi

d)

117.8 mi

22.

Find the length of the bold arc. Leave $\pi$ in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

23.

The formula for the arc length given an angle measurement in radians is

a)

$2\pi r\theta$

b)

$r^2$

c)

$r\theta$

24.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

25.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

26.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

27.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

28.

Name the quadrant the point is in:

\left(-13,\ 2\right)

a)

1

b)

2

c)

I

d)

II

e)

IV

29.

Find the value of tan $\theta$ given the point

\left(8,\ -\sqrt{17}\right)

a)

$-\frac{9\sqrt{17}}{17}$

b)

$\frac{9\sqrt{130}}{130}$

c)

$-\frac{8\sqrt{17}}{17}$

d)

$-\frac{\sqrt{17}}{8}$

30.

Find the value of sin $\theta$ given the point

\left(2,\ -\sqrt{5}\right)

a)

$-\frac{\sqrt{10}}{3}$

b)

$-\frac{3\sqrt{10}}{10}$

c)

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

d)

$-\frac{\sqrt{5}}{3}$

31.

Find the value of cos $\theta$ given the point

\left(5,\ \sqrt{11}\right)

a)

$\frac{6\sqrt{11}}{11}$

b)

$\frac{6}{5}$

c)

$\frac{\sqrt{11}}{5}$

d)

$\frac{5}{6}$

32.

Find the value of sec $\theta$ given the point

\left(-\sqrt{7},\ 3\right)

a)

$-\frac{3\sqrt{7}}{7}$

b)

$\frac{3}{4}$

c)

$-\frac{4\sqrt{7}}{7}$

d)

$\frac{\sqrt{7}}{4}$

33.

Find the value of cot $\theta$ given the point

\left(-2\sqrt{3},\ 2\right)

a)

$-\sqrt{3}$

b)

$\frac{3\sqrt{73}}{73}$

c)

$-\frac{3}{8}$

d)

$-\frac{\sqrt{3}}{2}$

34.

Find the value of csc $\theta$ given the point

\left(-\sqrt{17},\ 8\right)

a)

$-\frac{\sqrt{17}}{8}$

b)

$\frac{9}{8}$

c)

$-\frac{8\sqrt{17}}{17}$

d)

$-\frac{9\sqrt{17}}{17}$

35.

Find the value of sec $\theta$ given the point

\left(-9,\ -\sqrt{19}\right)

a)

$\frac{\sqrt{19}}{9}$

b)

$-\frac{10\sqrt{19}}{19}$

c)

$-\frac{9}{10}$

d)

$-\frac{10}{9}$

36.

Given the point (-4, -3) on the terminal side of the angle $\theta.$

What is sin $\theta?$

a)

3/5

b)

-5/4

c)

-3/5

d)

-4/5

37.

sin $\theta$ =

a)

$\frac{y}{r}$

b)

$\frac{x}{r}$

c)

$\frac{y}{x}$

d)

$\frac{r}{x}$

38.

cos $\theta$ =

a)

$\frac{y}{r}$

b)

$\frac{x}{r}$

c)

$\frac{y}{x}$

d)

$\frac{r}{x}$

39.

csc $\theta$ =

a)

$\frac{r}{y}$

b)

$\frac{r}{x}$

c)

$\frac{y}{x}$

d)

$\frac{x}{y}$

40.

sec $\theta$ =

a)

$\frac{r}{y}$

b)

$\frac{r}{x}$

c)

$\frac{y}{x}$

d)

$\frac{x}{y}$

41.

cot $\theta$ =

a)

$\frac{r}{y}$

b)

$\frac{r}{x}$

c)

$\frac{y}{x}$

d)

$\frac{x}{y}$

42.

$\frac{r}{x}$ =

a)

cos $\theta$

b)

$\sec\ \theta$

c)

$\sin\ \theta$

d)

$\csc\ \theta$

43.

$\frac{x}{r}$ =

a)

cos $\theta$

b)

$\sec\ \theta$

c)

$\sin\ \theta$

d)

$\csc\ \theta$

44.

$\frac{y}{r}$ =

a)

cos $\theta$

b)

$\sec\ \theta$

c)

$\sin\ \theta$

d)

$\csc\ \theta$

45.

tan $\theta$ =

a)

$\frac{r}{y}$

b)

$\frac{r}{x}$

c)

$\frac{y}{x}$

d)

$\frac{x}{y}$

46.

What quadrant is "x" in?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

47.

What are the negative and positive coterminal angles of 120°?

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

48.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

49.

Which angle is COTERMINAL to $\frac{\pi}{4}$ ?

a)

$\frac{7\pi}{4}$

b)

$\frac{3\pi}{4}$

c)

$-\frac{5\pi}{4}$

d)

$\frac{9\pi}{4}$

50.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

51.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

52.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

53.

If you split a circle into 6 equal parts, how many degrees will each section be?

a)

30/pi^o

b)

60^o

c)

30^o

d)

60/pi^o

54.

How do you convert from degrees to radians?

a)

multiply by the factor
π/180

b)

multiply by the factor 180/
π

c)

use your calculator

d)

ask siri

55.

What are co-terminal angles?

a)

angles that share the same terminal side

b)

angles that are supplementary

c)

angles that are complimentary

d)

angles that are opposite each other

56.

What is the compliment of an angle?

a)

You look lovely today

b)

Angle + compliment= 180 degrees

c)

Angle + compliment = 90 degrees

d)

A radian

57.

Name the reciprocal trig functions.

a)

sin, cos, tan

b)

sin⁻¹, cos⁻¹, tan⁻¹

c)

csc, cot, sec

d)

dasher, dancer, prancer

58.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3
*remember right side should =0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

59.

Identify a, b, and c in: x²−6x+14

a)

a=3,b=5,c=9

b)

a=1,b=-6,c=14

c)

a=1,b=-6,c=-14

d)

a=1,b=6,c=14

60.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

61.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

62.

$m^2-5m-14=0$

a)

x = 7 and -2

b)

x = 7 and 2

c)

x = -7 and -2

d)

x = -7 and 2

63.

Solutions of a quadratic equation are also called

a)

roots

b)

x-intercepts

c)

zeros

d)

All of the above

64.

Solve using the quadratic formula :

x² - 7x + 12 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

65.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

66.

Solve the following equation using the quadratic formula:

$3x^2+16x+5=0$

a)

$x=\frac{1}{3},\ x=5$

b)

$x=-\frac{1}{3},\ x=-5$

c)

$x=-1,\ x=-15$

d)

$x=1,\ x=15$

67.

Solve the following equation using the quadratic formula: $5x^2-6=13x$

a)

$x=-2,\ x=-\frac{3}{5}$

b)

$x=2,\ x=\frac{3}{5}$

c)

$x=3,\ x=-\frac{2}{5}$

d)

undefined

68.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

69.

What is 7π/4 radians in degrees?

(a)

70.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

71.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

72.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

73.

What is 60 degrees in radians?

a)

2π/3

b)

π/3

c)

4π/3

d)

π/6

74.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

75.

What is 2π/3 radians in degrees?

(a)

76.

What is 11π/6 radians in degrees?

(a)

77.

What is π/3 radians in degrees?

(a)

78.

How many degrees are there in half a circle?

a)

360^o

b)

2pi

c)

180^o

d)

pi

79.

Convert 60° to a radian measure.

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{2}$

d)

$\pi$

80.

Convert 90° to a radian measure.

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{2}$

d)

$\pi$

81.

Convert 45° to a radian measure.

a)

$\frac{\pi}{8}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{2}$

d)

$\frac{\pi}{6}$

82.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

83.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

84.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

85.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

86.

Which of the following angles are co-terminal to 330^o?

a)

-330^o, 330^o

b)

510^o, -210^o

c)

690^o, -30^o

d)

420^o, -330^o

87.

Which of the following angles are co-terminal to -75^o?

a)

-365^o, 75^o

b)

285^o, -435^o

c)

105^o, -255^o

d)

425^o, -335^o

88.

What are the negative and positive coterminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

89.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

90.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

91.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

92.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

93.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

94.

The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?

a)

3

b)

4

c)

8π

d)

3/2

95.

Circle A has a radius of 8 cm. The measure of central angle CAB is 2.5 radians. What is the length of the intercepted arc CB?

a)

20 cm

b)

16.5 cm

c)

8.5 cm

d)

3.2 cm

96.

Convert to degrees

a)

270 degrees

b)

230 degrees

c)

185 degrees

d)

460 degrees

97.

Convert 390 degrees to radians

a)

b)

c)

d)

98.

Which of the following angles are co-terminal to $\frac{7\pi}{4}$ ?

a)

$-\frac{7\pi}{4}$ , $\frac{14\pi}{5}$

b)

$-\frac{5\pi}{4}$ , $\frac{19\pi}{4}$

c)

$\frac{11\pi}{4}$ , $\frac{-3\pi}{4}$

d)

$\frac{-1\pi}{4}$ , $\frac{15\pi}{4}$

99.

The length of an arc is 18 cm and the diameter of the circle is 12 cm. What is the radian measure of the central angle?

a)

2 radian

b)

3 radian

c)

$\frac{3\pi}{4}$ radian

d)

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

100.

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

101.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

102.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

103.

In relation to the angle θ, label the side marked c in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

104.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

105.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

106.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

107.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

108.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

109.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

110.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

111.

What is 7π/10 in degrees?

a)

120

b)

126

c)

123

d)

119

112.

Find the length of the arc

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

113.

Find the length of the arc

a)

246.09cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

114.

Who is this?

a)

Orbit

b)

Philly Phanitic

115.

What is the name of the San Francisco 49ers mascot?

a)

T-Rac

b)

Sourdough Sam

c)

T.D.

d)

Sir Purr

116.

What is the name of the Carolina Panthers mascot?

a)

Sir Purr

b)

Rowdy

c)

Toro

d)

Sourdough Sam

117.

Cos $0\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

118.

Cos $30\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

119.

Cos $60\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

120.

Cos $90\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

121.

Sin $0\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

122.

Positive angles are measured in which direction from standard position on the unit circle?

a)

Clockwise

b)

Counterclockwise

123.

Sin $90\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

124.

Sin $60\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

125.

Sin $30\degree$

a)

$\frac{\sqrt{3}}{2}$

b)

$\frac{1}{2}$

c)

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

d)

1

e)

0

126.

Which quadrant is 150^o in?

a)

I

b)

II

c)

III

d)

IV

127.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

128.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

129.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

130.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

131.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

132.

a)

-1

b)

0

c)

undefined

d)

√3

133.

cot 3π/4

a)

-√2/2

b)

-1

c)

1

d)

√2/2

134.

For what angles are sine and cosine the same?

a)

0^o

b)

45^oand 135⁰

c)

45^oand 225⁰

d)

45^oand 315⁰

135.

Evaluate cos(225°)

a)

$-\frac{\sqrt{2}}{2}$

b)

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

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{1}{2}$

136.

Evaluate $\sin\left(\frac{\pi}{2}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-1$

e)

$1$

137.

Evaluate $\sin\left(\frac{23\pi}{6}\right)$

a)

$-\frac{\sqrt{3}}{2}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\frac{1}{2}$

d)

$\sqrt{3}$

138.

Evaluate cos(-135°)

a)

$-\frac{\sqrt{2}}{2}$

b)

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

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{1}{2}$

139.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

140.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

Precal Review (Part 2)

Total questions: 140

Worksheet time: 4hrs 10mins

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