Free Printable Unit 6 Review

1.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

2.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

3.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

4.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

5.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

6.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

7.

[Medians and Centroid]
If AC = 16, what is AM?

a)

4

b)

8

c)

6

d)

10

8.

[Median and Centroid]
If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

9.

[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?

a)

20

b)

10

c)

5

d)

15

10.

[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?

a)

6

b)

10

c)

16

d)

12

11.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

12.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

13.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

14.

The figure is a parallelogram.
Solve for x.

a)

11

b)

10

c)

6

d)

2

15.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

16.

Find the value of j and k.

a)

j = 4.5, k = 2

b)

j = 4.5, k = 5

c)

j = 3, k = 10

d)

j = 5, k = 5

17.

Find the value of f.

a)

-5

b)

15

c)

5

d)

20

18.

What's the measurement of angle G?

a)

20

b)

60

c)

24

d)

120

19.

Solve for x & y.

a)

x = 25, y = 14

b)

x = 27, y = 7

c)

x = 3, y = 9

d)

x = 2, y = 7

20.

a)

FG = 6, m<G = 120

b)

FG = 16, m<G = 60

c)

FG = 8, m<G = 60

d)

FG = 7, m<G = 65

21.

Find the volume of the roll of duct tape.

a)

7.2

b)

9.5

c)

15.3

d)

21.6

22.

Find the volume of the composite solid. 4m is diameter of the inside cylinder and 8m is the diameter of the larger cylinder.
Use 3.14 for pi.

a)

188.4 m³

b)

753.6 m³

23.

What is the volume of this rectangular prism?

a)

60 cubic centimeters

b)

15 cubic centimeters

c)

20 cubic centimeters

d)

6 cubic centimeters

24.

What is the volume of this figure?

a)

24.6 yd^3

b)

12.75 yd^3

c)

27.5 yd^3

d)

25.5 yd^2

25.

Cherry Pie is Delicious is what formula?

a)

c = π x r

b)

c = π x 2 x r

c)

c = π x r x r

26.

Find the volume of the composite figure.

a)

750 ft³

b)

625 ft³

c)

93,750 ft³

d)

450 ft³

27.

Which measurement best represents volume?

a)

The amount of soda that fits into a can

b)

The amount of wrapping paper that is needed to wrap a present

28.

What is the total volume of this figure?

a)

60

b)

100

c)

120

d)

300

29.

A metal tank is shaped like a rectangular prism and is used to store water from a well. The base of the tank has an area of 59.5 square feet (the length and width). If the water level is at a height of 6 feet, what is the volume of water stored in this tank?

a)

65.5 ft³

b)

304 ft³

c)

357 ft³

d)

2142 ftft³

30.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

31.

Find the volume.

a)

151.2

b)

163.7

c)

179.1

d)

186.3

32.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

33.

Find the volume of the composite figure.

a)

$V\ =\ 1,728\ +\ 12\pi\ \cong1,765.7\ mm^3$

b)

$V\ =\ 1,728\ -\ 48\pi\ \cong\ 1,577.2\ mm^3$

c)

$V\ =\ 1,728\ -12\pi\ \cong1,690.3\ mm^3$

d)

$V\ =\ 1,728\ +\ 48\pi\ \cong1,878.8\ mm^3$

34.

What is the formula for density?

a)

density = mass x volume

b)

density = mass / volume

c)

density = mass + volume

d)

density = mass - volume

35.

Frank has a paper clip. It has a mass of 9g and a volume of 3cm³. What is its density?

a)

3 g/cm³

b)

1/3 g/cm³

c)

27 g/cm³

d)

39 g/cm³

36.

A piece of copper has a mass of 89g and a volume of 10 cm3. What would be the density of the copper?

a)

0.89 g/cm3

b)

89 g/cm3

c)

8.9 g/cm3

d)

890 g/cm3

37.

Calculate the density in the following question: A flower pot has a mass of 95 g and a volume of 92 mL.

a)

1.03 g/mL

b)

0.97 g/mL

c)

1.01 g/mL

d)

0.99 g/mL

38.

Name the shape

a)

Circle

b)

Sphere

c)

Cone

d)

Cylinder

39.

What shape will the angled cross-section of a rectangular pyramid be?

a)

Triangle

b)

Rectangle

c)

Trapezoid

d)

Square

40.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

41.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

42.

Describe the cross section.

a)

rectangle

b)

square

c)

oval

d)

circle

43.

Describe the cross section.

a)

trapezoid

b)

triangle

c)

rectangle

d)

square

44.

What cross-section is formed by slicing through a cube perpendicular to any face?

a)

rectangle

b)

square

c)

parallelogram

d)

triangle

45.

If the rectangle above is continuously rotated about side w, which solid figure is formed?

a)

pyramid

b)

rectangular prism

c)

cone

d)

cylinder

46.

Which object is formed when right triangle RST shown above is rotated around leg RS?

a)

a pyramid with a square base

b)

an isosceles triangle

c)

a right triangle

d)

a cone

47.

A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?

a)

b)

c)

d)

48.

Triangle ABC represents a metal flag on pole AD. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. Which shape would the spinning flag create?

a)

sphere

b)

pyramid

c)

right circular cylinder

d)

cone

49.

Circle O is centered at the origin. In the diagram below, a quarter of circle O is graphed. Which 3-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

a)

cone

b)

sphere

c)

cylinder

d)

hemisphere

50.

How do you feel about Unit 6?

a)

Great

b)

Good

c)

OK

d)

Have to Study

Unit 6 Review

Total questions: 50

Worksheet time: 3hrs 7mins

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