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Quantitative Literacy
Geometry

1
Perimeter and Circumference

Problem  1
practice icon

Find the perimeter of a rectangle with a width of \(5\) yards and a length of \(8\) yards.

Choose instructor to watch:
Stephanie cc
Stephanie
Winston cc
Winston
Gordon cc
Gordon
Anthony espanol spanish
Anthony
Problem  2
practice icon

Find the perimeter of each stamp. Write your answer as a decimal, round to the nearest tenth.

  1. Each side is \(35.0\) millimeters

  2. Base \(=2\frac{5}{8}\) inches, other two sides\( =1\frac{7}{8}\)

  3. Length \(=1.56\) inches, width \(=0.99\) inches

Choose instructor to watch:
Julieta cc
Julieta
Aaron cc
Aaron
Anthony espanol spanish
Anthony
Problem  3
Choose instructor to watch:
Julieta cc
Julieta
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  4
practice icon

Find the circumference of each coin.

  1. Diameter \(=23.25\) millimeters

  2. Radius \(=0.52\) inches

Choose instructor to watch:
Aaron cc
Aaron
Betsy cc
Betsy
Anthony espanol spanish
Anthony
Problem  5
practice icon

If the circumference of the Earth is about \(24,900\) miles at the equator, what is the diameter of the Earth to the nearest \(10\) miles?

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Julieta cc
Julieta
Aaron cc
Aaron
Anthony espanol spanish
Anthony

2
Area

Problem  1
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A parallelogram has a base of \(5\) centimeters and a height of \(2\) centimeters. Find the area.

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Betsy cc
Betsy
Aaron cc
Aaron
Anthony espanol spanish
Anthony
Problem  2
practice icon

A triangle has a base of \(6\) centimeters and a height of \(3\) centimeters. Find the area.

Choose instructor to watch:
Julieta cc
Julieta
Anthony espanol spanish
Anthony
Problem  3
practice icon

Find the area of each stamp.
a. Each side is 35.0 millimeters
b. Base \(=25 / 8\) inches, Height \(=11 / 4\) inches
c. Length \(=1.56\) inches, Width \(=0.99\) inches

Choose instructor to watch:
Julieta cc
Julieta
Aaron cc
Aaron
Anthony espanol spanish
Anthony
Problem  4

A circular stamp has a radius of \(14.5\) millimeters. Find it’s area to the nearest whole number.

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Ana
Ana
Gordon cc
Gordon
Anthony espanol spanish
Anthony
Problem  5

Find the area.

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Julieta cc
Julieta
Gordon cc
Gordon
Problem  6

How much will it cost to plant a new lawn in an area of \(30\) feet by \(60\) feet if the price of sod is \(\$3.15\) per square yard

Choose instructor to watch:
Logan cc
Logan
Julieta cc espanol spanish
Julieta

3
Surface Area

Problem  1

For the polyhedra shown, list the number of faces, vertices, and edges.

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Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  2
practice icon

Find the surface area of a box with a width of \(3\) inches, a length of \(4\) inches, and a height of \(5\) inches.

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Aaron cc
Aaron
Anthony espanol spanish
Anthony
Problem  3

Find the surface area of the prism shown.

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Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  4
practice icon

A drinking straw has a radius of \(0.125\) inch and a length of \(6\) inches. How much material was used to make the straw?

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Mrs. Mooney cc
Mrs. Mooney
Gordon cc
Gordon
Anthony espanol spanish
Anthony
Problem  5

Find the slant height of the pyramid.

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Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  6

Find the surface area of the pyramid.

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Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  7

FInd the slant height and surface area of the cone.

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Mr. McKeague cc
Mr. McKeague
Logan cc
Logan
Julieta cc espanol spanish
Julieta
Problem  8
practice icon

A figure is composed of a right circular cylinder with half a sphere on top. The cylinder has a radius of \(5\) inches and a height of \(10\) inches. Find the surface area of the figure assuming it is closed on the bottom.

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Julieta cc
Julieta
Aaron cc
Aaron
Anthony espanol spanish
Anthony

4
Volume

Problem  1
practice icon

Find the volume of a rectangular solid with length \(15\) inches, width is \(3\) inches, and height \(5\) inches.

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Aaron cc
Aaron
Edwin espanol spanish
Edwin
Problem  2
practice icon

A drinking straw has a radius of \(0.125\) inch and a length of \(6\) inches. To the nearest thousandth, find the volume of the liquid that it will hold.

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Julieta cc
Julieta
Gordon cc
Gordon
Problem  3

Find the volume of the pyramid.

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Logan cc
Logan
Problem  4
practice icon

Find the volume of a cone with a radius \(3\) centimeters and height \(5\) centimeters.

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin espanol spanish
Edwin
Problem  5
practice icon

A figure is composed of a right circular cylinder with half a sphere on top. To the nearest tenth, find the total volume enclosed by the figure.

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Julieta cc
Julieta
Gordon cc
Gordon

5
Similar Figures

Problem  1
practice icon

Two triangles are similar. Find side \(x\).

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  2
practice icon

The width and height of the two video clips are proportional. Find the height, \(h\), in pixels of the larger video window.

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Mr. McKeague cc
Mr. McKeague
Betsy cc
Betsy
David cc espanol spanish
David
Problem  3
practice icon

Draw a triangle similar to triangle \(ABC\), if \(AC\) is proportional to \(DF\). Make \(E\) the third vertex of the new triangle.

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Aaron cc
Aaron
David cc espanol spanish
David
Problem  4
practice icon

A building casts a shadow of \(105\) feet while a \(21\)-foot flagpole casts a shadow that is \(15\) feet. Find the height of the building.

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Winston cc
Winston
Julieta cc espanol spanish
Julieta
Problem  5
practice icon

Use a proportion to determine the perimeter \(P\) of the new board.

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Joshua cc
Joshua
Lauren cc
Lauren
Cynthia espanol spanish
Cynthia

6
The Pythagorean Theorem

Problem  1

Solve for the \(x\) in the right triangle.

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Joshua cc
Joshua
Julieta cc espanol spanish
Julieta
Problem  2
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The vertical rise of the Forest Double chair lift is \(1,170\) feet and the length of the chair lift is \(5,750\) feet. To the nearest foot, find the horizontal distance covered by a person riding in the lift.

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Stefanie cc
Stefanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  3
practice icon

If the shortest side of a \(30^{\circ}-60^{\circ}-90^{\circ}\) triangle is \(5\), find the other two sides.

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Mr. McKeague cc
Mr. McKeague
Stefanie cc
Stefanie
Gordon cc
Gordon
Gordon cc espanol spanish
Gordon
Problem  4

Simplify \(\sqrt{\displaystyle\frac{1}{2}}\)

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Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Edwin espanol spanish
Edwin
Problem  5

Simplify \(\sqrt{\displaystyle\frac{2}{3}}\)

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Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Cynthia espanol spanish
Cynthia
Problem  6
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A ladder is leaning against a wall. The top of the ladder is \(4\) feet above the ground and the bottom of the ladder makes an angle of \(60^{\circ}\) with the ground. How long is the ladder, and how far from the wall is the bottom of the ladder?

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Mr. Perez cc
Mr. Perez
Stefanie cc
Stefanie
Gordon cc
Gordon
Gordon cc espanol spanish
Gordon
Problem  7
practice icon

A \(10\)-foot rope connects the top of a tent pole to the ground. If the rope makes an angle of \(45^{\circ}\) with the ground, find the length of the tent pole.

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Mr. Perez cc
Mr. Perez
Stefanie cc
Stefanie
Gordon cc
Gordon
Gordon cc espanol spanish
Gordon
Problem  8

Mini Lecture
Give the complement and supplement.

  1. \(10^{\circ}\)

  2. \(x\)

  3. Through how many degrees does the hour hand of a clock move in \(4\) hours?

  4. Fill in the missing sides of the triangle.

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Mr. McKeague cc
Mr. McKeague

7
Right Triangle Trigonometry

Problem  1
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Triangle \(ABC\) is a right triangle with \(C=90^{\circ}\). If \(a=6\) and \(c=10\), find the six trigonometric functions of \(A\).

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Stefanie cc
Stefanie
CJ cc
CJ
Edwin cc espanol spanish
Edwin
Problem  2
practice icon

Fill in the blanks so that each expression becomes a true statement.

  1. \(\sin\underline{\qquad}=\cos{30^{\circ}}\)

  2. \(\tan{y}=\cot\underline{\qquad}\)

  3. \(\sec{75^{\circ}}=\csc{\underline{\qquad}}\)

Choose instructor to watch:
Betsy cc
Betsy
Stefanie cc
Stefanie
CJ cc
CJ
Problem  3
practice icon

Show that the following are true.

  1. \(\cos^2{30^{\circ}}+\sin^2{30^{\circ}}=1\)

  2. \(\cos^2{45^{\circ}}+\sin^2{45^{\circ}}=1\)

Choose instructor to watch:
Betsy cc
Betsy
Stefanie cc
Stefanie
CJ cc
CJ
Julieta espanol spanish
Julieta
Problem  4

Let \(x=30^{\circ}\) and \(y=45^{\circ}\) in each of the expressions that follow, and then simplify each expression as much as possible.

  1. \(2\sin x\)

  2. \(\sin{2x}\)

  3. \(4\sin{(3y-90^{\circ})}\)

Choose instructor to watch:
Stefanie cc
Stefanie
CJ cc
CJ
Problem  5

Mini Lecture

  1. \(\Delta ABC\) is a right triangle with \(C=90^{\circ}\). Find the six trigonometric functions of \(A\) if \(a=2\) and \(b=\sqrt{5}\).

  2. Find \(\sin A\), \(\cos A\), \(\tan A\), \(\sin B\), \(\cos B\), and \(\tan B\)

  3. \(\sin x=\cos{\underline{\qquad}}\)

  4. \(\left(\sin60^{\circ} +\cos60^{\circ}\right)^2\)

  5. \(\sec30^{\circ}\)

  6. \(\cot45^{\circ}\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

8
Test & Summary

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