Free Printable G10

1.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

2.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

3.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

4.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

5.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

6.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

7.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

8.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

9.

Divide the Rational Expression

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

10.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

11.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

12.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

Simplify the expression

a)

1

b)

-1

c)

Can't be simplified

16.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

17.

Simplify.

a)

A.

b)

B.

c)

C.

d)

D.

18.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

19.

SIMPLIFY

a)

A

b)

B

c)

C

d)

D

20.

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

a)

b)

c)

d)

24.

a)

b)

c)

d)

25.

a)

b)

c)

d)

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

Simplify the expression

a)

n / 2m

b)

n / 3m

c)

(m²+ 4n²) / 12m

d)

n / 4m

30.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

31.

If you are given the hypotenuse and an adjacent leg, which trigonometric function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

32.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

33.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

34.

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

35.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

36.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

37.

WHICH OF THE FOLLOWING SHAPES FOCUSES MORE IN STUDYING TRIGONOMETRY?

a)

ACUTE TRIANGLE

b)

SCALENE TRIANGLE

c)

RIGHT TRIANGLE

d)

OBTUSE TRIANGLE

38.

Find the exact values of the six trigonometric functions of θ.

a)

sin θ = 4/5, sec θ = 5/4, cos θ = 3/5, csc θ = 5/3, tan θ = 3/4, cot θ = 3/4

b)

sin θ = 3/5, sec θ = 5/4, cos θ = 4/5, csc θ = 5/3, tan θ = 3/4, cot θ = 4/3

c)

sin θ = 3/5, sec θ = 5/3, cos θ = 4/5, csc θ = 5/4, tan θ = 3/4, cot θ = 4/3

d)

sin θ = 4/5, sec θ = 5/4, cos θ = 3/5, csc θ = 5/3, tan θ = 3/4, cot θ = 4/3

39.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

40.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

41.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

42.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

43.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

44.

What is the value of sin $30^o$ ?

a)

$\frac{1}{2}$

b)

$\frac{1}{\sqrt[]{3}}$

c)

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

d)

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

45.

What is the value of tan $\theta$ ?

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

46.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

47.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

48.

a)

18.9

b)

19.5

c)

47

d)

27.5

49.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

50.

How long is e?

a)

3

b)

6

c)

6√3

d)

6√2

51.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

52.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

53.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

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

57.

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

58.

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

59.

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

a)

32√3

b)

16√3

c)

32

d)

16√2

60.

Use trig ratios to write and solve an equation.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

61.

Convert 240 degrees to radians.

a)

4pi/3

b)

-7pi/4

c)

25pi/36

d)

-17pi/9

62.

Convert 315 degrees to radians.

a)

-4pi/3

b)

7pi/4

c)

25pi/36

d)

-17pi/9

63.

Convert 125 degrees to radians.

a)

-4pi/3

b)

7pi/4

c)

25pi/36

d)

-17pi/9

64.

Convert 19pi/4 to degrees.

a)

855 degrees

b)

45 degrees

c)

-430 degrees

d)

-310 degrees

65.

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

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

66.

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

67.

Which of the following angles are co-terminal to 450^o?

a)

450^o, -450^o

b)

90^o, -270^o

c)

270^o, -90^o

d)

420^o, -330^o

68.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

69.

Convert 125 degrees to radians.

a)

-4pi/3

b)

7pi/4

c)

25pi/36

d)

-17pi/9

70.

Convert 315 degrees to radians.

a)

-4pi/3

b)

7pi/4

c)

25pi/36

d)

-17pi/9

71.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

72.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

73.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

74.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

75.

How many radians does a circle have?

a)

360 degrees

b)

2\pi radians

c)

$\pi radians$

d)

^{2 radians}

76.

Find the circumference to the nearest foot?

a)

231 feet squared

b)

132 feet squared

c)

321 feet squaed

d)

123 feet squared

77.

What is the circumference of the circle? Round to the nearest centimeter.

a)

16 cm²

b)

61 cm²

c)

16 ft²

d)

61 ft²

78.

The radius of a circle is 12 centimeters.

What is the circumference?

a)

12π cm

b)

24π cm

c)

6π m

d)

3π m

79.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

80.

What is the area of sector of a circle with central angle $60\degree$

a)

$\pi r^2$

b)

$2\pi r$

c)

$\frac{\pi r^2}{6}$

d)

$\frac{\pi r^2}{2}$

81.

Area of circle is 154cm², and Area of minor sector is 7.7cm², then calculate area of major sector of circle.

a)

A) 145 cm²

b)

B) 146.3 cm²

c)

C) 77 cm²

d)

D) 147 cm²

82.

The area of the circle that can be inscribed in a square of side 6 cm is

a)

36pi sq.cm

b)

18pi sq.cm

c)

12pi sq.cm

d)

9pi sq.cm

83.

The perimeter of square circumscribing circle of radius 'a' cm is

a)

8a cm

b)

6a cm

c)

10a cm

d)

16a cm

84.

What is the area of the yellow?

a)

78.5 mi²

b)

19.625 mi²

c)

39.25 mi²

d)

31.4 mi²

85.

Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost?

a)

$8.00

b)

$7.00

c)

$3.50

d)

$0.50

86.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

87.

Find the value of x.

a)

10

b)

5

c)

18

d)

9

88.

Solve for x.

a)

3.6

b)

9.2

c)

11.5

d)

14.3

89.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

90.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

91.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

92.

Find the measure of b.

a)

b=90

b)

b=57.7

c)

b=56

d)

b=115

93.

Find the radius r

a)

2

b)

3

c)

4

d)

5

94.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

95.

Solve for x.

a)

5

b)

20

c)

40

d)

85

96.

Find the arc length of the bolded arc in the picture.

a)

A

b)

B

c)

C

d)

D

97.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

98.

a)

A

b)

B

c)

C

d)

D

99.

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.

100.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

101.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

102.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

103.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

104.

Find the area of the sector.

a)

A

b)

B

c)

C

d)

D

105.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

106.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

107.

Find the value of x.

a)

15

b)

18

c)

21

d)

24

108.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

109.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

110.

Find x. P is the center of the circle. Segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

116.

a)

A

b)

B

c)

C

d)

D

117.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

118.

What is the value of x?

a)

A

b)

B

c)

C

d)

D

119.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

120.

A tangent intersects the circle at:

a)

One point

b)

Two distinct point

c)

Never intersects

d)

None of the above

121.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

122.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

123.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

124.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

125.

What is the radius of the circle

(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

24

d)

144

126.

What is the equation for this circle?

a)

(x+1)²+(y+1)²=9

b)

x²+y²=9

c)

x²+y²=6

d)

x²+y²=3

127.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

128.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

129.

What does (h,k) standard for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is the radius of the circle

d)

(h,k) is the diameter of the circle

130.

In the circle represented by the equation (x-4)²+(y-3)²=25, the diameter is

a)

10

b)

3

c)

5

d)

25

131.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

132.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

133.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

134.

Determine the center and radius: x²+ y²+ 14x - 2y = -1

a)

center= (-7,2) radius= 3

b)

center= (-7,1) radius= 7

c)

center= (-4,1) radius= 5

135.

What is the radius of the given circle:
x²+y²-10x+8y-23=0?

a)

4

b)

2

c)

8

136.

Which graph corresponds to

(x+2)²+ (y-3)²=36

a)

A

b)

B

c)

C

d)

D

137.

$What\ is\ the\ equation\ of\ the\ circle\ ?$

a)

$\left(x-2\right)^2\ +\left(y-1\right)^2\ =\ 10$

b)

$\left(x+2\right)^2\ +\left(y-1\right)^2\ =\ 5\$

c)

$\left(x-2\right)^2\ +\ \left(y+1\right)^2\ =\ 25$

d)

$\left(x+2\right)^2\ +\ \left(y-1\right)^2\ =\ 25$

138.

$Write\ the\ equation\ of\ the\ circle\ that\ has\ a\ center\ at\ \left(5,3\right)\ and\ a\ radius\ of\ 6$

a)

$\left(x-5\right)^2\ +\ \left(x-3\right)^2\ =\ 36$

b)

$\left(x-5\right)^2\ +\ \left(y-3\right)^2\ =\ 6$

c)

$\left(x+5\right)^2\ +\ \left(x-3\right)^2\ =\ 12$

d)

$\left(x+5\right)^2\ +\left(x+3\right)^2\ =\ 36$

139.

$Match\ the\ graph\ with\ it's\ equation$

a)

b)

c)

140.

$Match\ the\ graph\ with\ it's\ equation$

a)

b)

c)

141.

$Match\ the\ graph\ with\ the\ it's\ equation\$

a)

b)

c)

d)

142.

$What\ is\ the\ radius\ of\ the\ circle\ in\ the\ graph\ ?$

a)

8

b)

4

c)

2

d)

16

143.

$Write\ the\ center\ point\ of\ the\ circle\ \ x^2\ +\ y^2\ =\ 100$

a)

$\left(1\ ,\ 1\right)$

b)

$\left(-1,\ -1\right)$

c)

$\left(\ 10,\ 10\right)$

d)

$\left(\ 0,\ 0\right)$

144.

Write\ the\ center\ point\ of\ the\ circle\ \ \left(x-3\right)^2\ +\left(y\ +2\right)^2\ =36

a)

$\left(3,\ -2\right)$

b)

$\left(-3,\ 2\right)$

c)

$\left(2,3\right)$

d)

$\left(0,\ 0\right)$

145.

$Write\ the\ radius\ of\ the\ circle\ \ \ \ \ x^2\ +\ y^2\ =\ 9$

a)

81

b)

3

c)

9

d)

0

146.

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

a)

C = (5,-4) r = 7

b)

C = (-5,4) r = 7

c)

C = (-4,5) r = 49

d)

C = (5,-4) r = 49

147.

A circle has the equation x² + y² + 10x - 4y + 20 = 0. Write it in standard form.

a)

(x - 5)² + (y + 2)² = 9

b)

(x + 5)² + (y - 2)² = 3

c)

(x + 5)² + (y - 2)² = 9

d)

(x - 5)² + (y + 2)² = 3

148.

Find missing side

a)

5

b)

7

c)

9

d)

11

149.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

150.

a)

7

b)

12

c)

6

d)

4

151.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

152.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

153.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

154.

In $\Delta ABC$ , DE $\parallel$ BC so that AD = 2.4 cm, AE = 3.2 cm and EC = 4.8 cm. Then AB = ?

a)

3.6 cm

b)

6 cm

c)

6.4 cm

d)

7.2 cm

155.

If CD is a midsegment, find the missing length indicated.

a)

16

b)

8

c)

2

d)

40

156.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

157.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

158.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

159.

a)

15

b)

13

c)

11

d)

17

160.

a)

20

b)

30

c)

25

d)

23

161.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

162.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.
What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

163.

Find the mean of these numbers:
4,2,5,6,3

a)

2

b)

5

c)

4

d)

6

164.

Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4

a)

2

b)

13

c)

14

d)

7

165.

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

a)

2

b)

4

c)

6

d)

2.4

166.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

167.

Find the mean value of x

a)

24.5

b)

3.5

c)

2.45

d)

10

168.

State the mode

a)

22

b)

1

c)

3

d)

2

169.

Mrs. Jones surveyed the class for the number of letters in their given first name. The data is recorded below.
{5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8}
What is the interquartile range of the data?

a)

2

b)

3

c)

7

d)

8

170.

Find the Quartile 1 of the box and whisker plot.

a)

60

b)

62

c)

64

d)

66

171.

Find the Quartile 3 of the box and whisker plot.

a)

58

b)

64

c)

60

d)

66

172.

What is the maximum?

a)

64

b)

65

c)

66

d)

67

173.

Determine the IQR for this set of data.

(Note: Subtract Quartile 3 and Quartile 1).

a)

240

b)

50

c)

40

d)

230

174.

Which group has a higher median?

a)

Group A

b)

Group B

175.

Which group has a lower IQR?

a)

Group A

b)

Group B

G10

Total questions: 175

Worksheet time: 10hrs 25mins

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