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Unit 4 Test EXTRA CREDIT

Last updated over 5 years ago
39 questions

Complete ALL of the following questions to receive extra credit points on your Unit 4 Test. Use the hints provided to help you.

1

What kind of angle is ∠BAC? (HINT)

1

An inscribed angle... (Choose 2!) (HINT)

1

What is the m∠BAC?

1

Which arc does ∠TRS open up to? (HINT)

1

Which arc does ∠TQS open up to? (HINT)

1

If two inscribed angles open up to the same arc, what do you know about those two angles? (HINT)

1

Which statement must be true? (HINT)

1

If the measure of arc AB is 120°, what is the measure of angle C?

1

What do the angles in a triangle have to add up to? (HINT)

1

What is the measure of ∠B?

1

A tangent line touches the circle how many times? (HINT)

1

A secant line touches the circle how many times? (HINT)

1

What kind of angle does the tangent line make with the radius at the point of tangency? (HINT)

1

A major arc is... (HINT)

1

Which of these statements is FALSE?

1

In the diagram, arc BC and arc BD each measure 130 degrees.
What is the measure of arc DC?

1

In the diagram, arc BC and arc BD each measure 130 degrees.
Using the measure of arc CD from the previous question, what is the measure of angle CBD?

1

The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.
Which formula (from your formula sheet) would you use to find the area of the slice of cheesecake Mrs. Thompson cut?

1

The Thompson family made a cheesecake with a radius of 4 inches. Mrs. Thompson cut a slice of cheesecake that has a central angle of 39°, as shown.
What is the filled-in formula for the area of the slice of cheesecake that Mrs. Thompson cut out?

1

In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.
What formula (from your formula sheet) would you use to find the area of the shot put sector?

1

In shot put, athletes have to throw a heavy ball into a certain area. This area is made up of a sector of a circle with a central angle of 34.92° and a radius of 160 feet.
Find the area of of the shot put sector to the nearest square foot. (Enter a WHOLE NUMBER!)

1

Find the AREA of the shaded SECTOR. (Use your formula sheet!)

1

A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.
What would be the correct process to find the volume of the composite figure? (HINT)

1

A crayon (shown below) can be a composite figure made from a cone and cylinder. Use the dimensions of the crayon in the diagram to find the volume.
What is the best estimate of volume of the crayon? (HINT)

1

A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo. What formula (from your formula sheet) would calculate the number of cubic feet that the silo could hold?

1

A grain silo is shaped like a cylinder with a height of 24 feet and a diameter of 10 feet. A farmer wishes to determine how many cubic feet of grain could fit in the silo. What is the maximum amount of cubic feet of grain that the silo could hold?

1

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

What is the volume of the ball that he started with?

1

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

What is the volume of the ball that he has AFTER adding to it for a year?

1

Marcus has been working on a large rubber band ball. When Marcus first measured the ball it had a diameter of 5 inches. Over the course of one year, Marcus continued to add more rubber bands to the ball. After one year Marcus measured the rubber band ball, and it had a diameter of 15 inches.

How much volume was added on to the rubber band ball? (HINT)

1

Find the volume of one paper cone if the diameter is 4 inches and the height is 7 inches. Round your answer to the nearest cubic inch.

1

Determine which of the transformations applied to Circle A could be used to prove Circle A is similar to Circle B. Select all that are TRUE. (Select 2!!!)

1

In an inscribed quadrilateral, opposite angles are ________________________. (HINT)

1

Find the value of each variable. (HINT)

1

How do you find the volume of a square pyramid?

1

How do you find the volume of a cube?

1

What is the difference in these two formulas?

1

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches.

Thinking about your answer to the last question, how many pyramids would fill up the cube? (HINT)

1

Compare the three prisms shown above in terms of their height, base, volume, and area of the two–dimensional cross–section.
Select each TRUE statement.

1

Select all of the three–dimensional figures below that have a circular cross section.


REVIEW YOUR ANSWERS CAREFULLY!

YOU WILL NOT BE ABLE TO CHANGE THEM AFTER YOU SUBMIT!