Free Printable HGeo MP3 Review

1.

If I know the lengths of TWO sides of a RIGHT triangle then I can find the length of the third side.

a)

TRUE; using Pythagorean Theorem

b)

False; you would need information on an angle or two.

2.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

3.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

4.

Focus in on the 70^o angle...which two sides are "identified" in the figure?

a)

opposite

(an unknown)

b)

hypotenuse

(4 units)

c)

adjacent

(no marking)

d)

None of these

5.

Focus on the 70^o angle. Which trig ratio uses the two labeled sides?

a)

sine (sin)

b)

cosine (cos)

c)

tangent (tan)

d)

None of these

6.

$0.9396926...=\frac{?}{4}$ , to solve

a)

multiply both sides by 4

b)

divide both sides by 4

c)

add 4 to both sides

d)

subtract 4 from both sides

7.

Let's consider angle B (25^o). Which two sides do "b" and "8" represent?

a)

Opposite

b)

Adjacent

c)

Hyptonuse

d)

All of them

8.

Focus on angle B.

Which trig ratio uses the two sides labeled 8 and b?

a)

sine (sin)

b)

cosine (cos)

c)

tangent (tan)

d)

none of them

9.

Which of the following equations would be true?

a)

$\tan\left(25\degree\right)=\frac{b}{8}$

b)

$\tan\left(8\degree\right)=\frac{25}{b}$

c)

$\tan\left(25\degree\right)=\frac{8}{b}$

d)

$\tan\left(b\degree\right)=\frac{8}{25}$

10.

Which of the following best represents the length of side "b?"

a)

3.73

b)

177.88

c)

17.16

d)

17.74

11.

Choose the correct set up to find the length of the side x.

a)

$\sin\left(37\degree\right)=\frac{x}{14}$

b)

$\cos\left(37\degree\right)=\frac{x}{14}$

c)

$\tan\left(37\degree\right)=\frac{x}{14}$

d)

None of these are correct

12.

What is the correct set up for the problem to solve for side w?

a)

$\sin\left(40\degree\right)=\frac{w}{28}$

b)

$\cos\left(40\degree\right)=\frac{w}{28}$

c)

$\tan\left(40\degree\right)=\frac{w}{28}$

d)

$\sin\left(40\degree\right)=\frac{28}{w}$

13.

What is the length of side "w?"

a)

18.0

b)

21.4

c)

23.5

d)

43.56

14.

Describe the cross section.

a)

circle

b)

oval

c)

semi-circle

d)

trapezoid

15.

What 3-D solid is formed when this rectangle is rotated about the vertical line?

a)

Right, rectangular prism

b)

Right, circular cylinder

c)

Right, oval cylinder

d)

Right, square prism

16.

Describe the cross section.

a)

rectangle

b)

square

c)

parallelogram

d)

circle

17.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)

b)

c)

d)

18.

Describe the cross section.

a)

rectangle

b)

trapezoid

c)

ellipse

d)

parallelogram

19.

The right triangle as shows is rotated $360\degree$ about the $y-axis$ in three dimensions. What is the 3-Dimensional solid resulting from the rotation?

a)

cone

b)

cylinder

c)

pyramid

d)

prism

20.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

21.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

22.

Name the solid that would be formed by rotating the shape about a given axis.

a)

Sphere

b)

Cone

c)

Cyliner

d)

Frustum

23.

What is the cross section depicted here?

a)

Square

b)

Triangle

c)

Pyramid

d)

plane

24.

What is the Trig ratio for SINE?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

25.

What is the Trig ratio for COSINE?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

26.

What is the Trig ratio for TANGENT?

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

27.

What is the correct ratio for the cos(C)?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

28.

What is the correct ratio for the tan(Z)?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

29.

What is the correct ratio for tan(A)?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

30.

What is the correct ratio for cos(X)?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

31.

What is the correct equation to solve for x ?

a)

tan ( 46 ) = 17 / x

b)

sin ( 46 ) = x / 17

c)

tan ( 46 ) = x / 17

d)

cos ( 46 ) = x / 17

32.

What is the correct equation to solve for x ?

a)

tan (58) = x / 11

b)

tan (58) = 11 / x

c)

cos (58) = x / 11

d)

sin (58) = x / 11

33.

What is the correct equation to solve for x?

a)

tan (40) = x / 13

b)

cos (40) = x / 13

c)

sin (40) = 13 / x

d)

sin (40) = x / 13

34.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

35.

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

a)

34.5°

b)

55.5°

c)

43.4°

d)

46.6°

36.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

37.

Solve for x.

a)

10

b)

11.3

c)

12.0

d)

15.0

38.

What is the formula for volume of a prism?

a)

$V=\frac{1}{3}Bl$

b)

$V=Bh$

c)

$V=\frac{1}{2}Bl\ +h$

d)

$V=l^2h^2$

39.

What is the formula for volume of a cylinder?

a)

$V=\pi r^2h$

b)

$V=\frac{4}{3}\pi r^2$

c)

$V=\pi r^2d^2$

d)

$V=2\pi rh$

40.

What is the formula for volume of a sphere?

a)

$V=\frac{3}{4}\pi r^2h$

b)

$V=\frac{2}{3}\pi r^3l$

c)

$V=\frac{4}{3}\pi r^3$

d)

$V=\frac{1}{2}\pi rlh$

41.

What is the volume of the figure?

a)

120 ft³

b)

64 ft³

c)

720 ft³

d)

184 ft³

42.

What is the volume of the figure?

a)

216π cm³

b)

1296π cm³

c)

972π cm³

d)

108π cm³

43.

What is the volume of the figure?

a)

240 in³

b)

480 in³

c)

72 in³

d)

144 in³

44.

What is the volume of the figure?

a)

$\frac{400}{3}\pi\ \ km^3$

b)

$\frac{4000}{3}\pi\ \ km^3$

c)

$400\pi\ \ km^3$

d)

$40\pi\ km^3$

45.

What is the volume of the figure?

a)

104 yd³

b)

291.2 yd³

c)

145.6 yd³

d)

416 yd³

46.

What is the volume of the figure?

a)

125 km³

b)

45 km³

c)

15 km³

d)

75 km³

47.

What is the volume of the figure?

a)

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

b)

$12\pi\ \ in^3$

c)

$\frac{81}{4}\pi\ \ in^3$

d)

$36\pi\ \ in^3$

48.

What is the volume of the figure?

a)

343π cm³

b)

3528π cm³

c)

252π cm³

d)

882π cm³

49.

What is the volume of the figure?

a)

1452 km³

b)

528 km³

c)

1331 km³

d)

484 km³

50.

A rectangle and a horizontal line segment are shown. What is the resulting object when the rectangle is rotated around the horizontal line segment?

a)

b)

c)

d)

51.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

b)

c)

d)

52.

Rotating this rectangle around the x-axis gives what solid?

a)

Rectangle

b)

Cylinder

c)

Cone

d)

Sphere

53.

What will be the radius and height of the cylinder after rotating the rectangle around the x-axis?

a)

Radius = 4

Height = 7

b)

Radius = 4

Height = 4

c)

Radius = 7

Height = 4

d)

Radius = 7

Height = 7

54.

A rectangle with area 12 square units is dilated by a scale factor of k. Find the area of the image if k = 2.

a)

24 square units

b)

36 square units

c)

48 square units

d)

64 square units

55.

A trapezoid has an area of 12 square units. What scale factor would be required to dilate the trapezoid to 108 square units?

a)

k = 3

b)

k = 9

c)

k = 5

d)

k = 8

56.

A polygon with an area of 10 square units is dilated by a scale factor of 1.5. Find the area of the dilated polygon.

a)

22.5 square units

b)

15 square units

c)

7.5 square units

d)

18 square units

57.

Parallelogram A'B'C'D' was obtained by dilating parallelogram ABCD using A as the center of dilation. What was the scale factor of this dilation?

a)

k = 2

b)

k = 4

c)

k = 1/2

d)

k = 1/4

58.

A triangle has an area of 50 square units. What scale factor would be required to dilate the triangle to 800 square units?

a)

k = 4

b)

k = 8

c)

k = 12

d)

k = 16

59.

A rectangular prism has a volume of 64 cubic units. Find the volume of the image if the prism is dilated by a factor of 1/2.

a)

32 cubic inches

b)

16 cubic inches

c)

8 cubic inches

d)

4 cubic inches

60.

A solid with volume 8 cubic centimeters is dilated by a scale factor of k to obtain a solid with a volume of 1000 cubic centimeters. Find the value of k.

a)

k = 15

b)

k = 5

c)

k = 25

d)

k = 125

61.

Triangle YES is rotated around the y-axis. What 3D shape does it create?

a)

Cone

b)

Cylinder

c)

Triangular Prism

d)

Circle

62.

Triangle YES is rotated around the y-axis. What 3D shape does it create?

a)

Cone

b)

Cylinder

c)

Triangular Prism

d)

Circle

63.

What is the radius of the cone created by rotating triangle YES around the y-axis?

(a)

64.

Triangle YES is rotated around the y-axis. What the height of the resulting cone?

(a)

65.

Rectangle GEOM is rotated around the x-axis. Which 3D solid does it create?

a)

Cone

b)

Cylinder

c)

Triangular Prism

d)

Circle

66.

Triangle YES is rotated around the y-axis. What is the volume of the cone it creates? Round to the second decimal place.

(a)

67.

Rectangle GEOM is rotated around the x-axis. What is the radius of the resulting cylinder?

(a)

68.

The oblique cylinder has a volume of $384\pi$ and a height of $24$ . What is the radius of the base?

(a)

69.

The oblique cylinder has a height of 15 cm and a radius of 8 cm. What is the volume? Round to the second decimal.

(a)

70.

A rectangular block (prism) of copper weighs 1896 g. It's dimensions are 8.4 cm by 5.5 cm by 4.6 cm. Using this block, what is the density of copper? Round to the second decimal.

(a)

71.

The density of the given figure is 0.085 g/in^2. What is the mass?

(a)

72.

A cylinder has a volume of 600 m^3. What will the volume be of a cone with the same height and radius?

(a)

73.

The cone has a volume of 75 in^3. What is the volume of a cylinder with the same height and radius?

(a)

74.

What is the population density of Allegany County? Round to the second decimal

(a)

75.

Which county has the highest population density?

a)

Allegany

b)

Anne Arundel

c)

Montgomery

d)

Prince George's

e)

Frederick

76.

Match the following Trig Ratios with their corresponding Trig functions.

a)

$\frac{opposite}{adjacent}$

1.

Tangent

b)

$\frac{opposite}{hypotenuse}$

2.

Sine

c)

$\frac{adjacent}{hypotenuse}$

3.

Cosine

77.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

78.

What's the rocket's launch angle?

4 lines

79.

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.

80.

Find the measure of the missing angle.

a)

70.8

b)

19.2

c)

43.4

d)

26.2

81.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

82.

Match the equivalent values.

a)

$\sin75\degree$

1.

$\cos15\degree$

b)

$\sin25\degree$

2.

$\cos65\degree$

c)

$\sin45\degree$

3.

$\cos45\degree$

d)

$\sin55\degree$

4.

$\cos35\degree$

e)

$\sin35\degree$

5.

$\cos55\degree$

HGeo MP3 Review

Total questions: 82

Worksheet time: 2hrs 50mins

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