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Untitled Presentation

Assessment

Presentation

Mathematics

6th Grade

Practice Problem

Hard

Created by

Rubilyn Aspa

Used 1+ times

FREE Resource

85 Slides • 27 Questions

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Multiple Choice

Which of the following is a reason why learning math is important?

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It helps us make better decisions.

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It makes us better at sports.

3

It is only useful for scientists.

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It is not needed in daily life.

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Open Ended

What is one way mathematics can help us solve real-life problems?

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Open Ended

What is the relationship between the volume of a rectangular prism and a pyramid? Between the volume of a cylinder and a cone? And between the volume of a cylinder and a sphere?

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Open Ended

What real-life objects in your classroom resemble cylinders or pyramids?

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Multiple Select

Select all the correct steps to find the volume of a cylinder with a diameter of 12 cm and height of 15 cm.

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Find the radius by dividing the diameter by 2

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Calculate the area of the base using πr²

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Multiply the base area by the height

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Multiply the diameter by the height

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Fill in the Blanks

Type answer...

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Multiple Choice

Given a cylinder with a diameter of 12 cm and a height of 15 cm, what is its volume?

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1,695.6 cm³

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1,200 cm³

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1,500 cm³

4

2,000 cm³

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Multiple Choice

Which formula is used to find the volume of a cylinder?

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πr²h

2

2πrh

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πr²

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πdh

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Open Ended

Explain how the formula for the volume of a pyramid relates to the formula for the volume of a prism. Use the example provided in the images.

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Multiple Choice

What is the volume of the smallest pyramid in Joana's collection, given its dimensions are 5 cm, 3 cm, and 5 cm?

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15 cm³

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25 cm³

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75 cm³

4

30 cm³

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Multiple Select

Which of the following are necessary to calculate the volume of a pyramid?

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Base area

2

Height

3

Length of the slant edge

4

Width of the base

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Fill in the Blanks

Type answer...

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Open Ended

Compare the process of finding the volume of a pyramid and a cylinder. What are the similarities and differences in the formulas and required measurements?

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Open Ended

What is the formula for finding the volume of a pyramid?

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Multiple Choice

A juice container is shaped like a cylinder has a base area of 100 cm² and can hold 1500 cm³ of juice. Find the height of the juice container.

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1.5 cm

2

10 cm

3

15 cm

4

150 cm

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Multiple Choice

Lita has a square pyramid souvenir with a side of 6 cm and height of 12 cm. What is the volume?

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144 cm³

2

432 cm³

3

252 cm³

4

84 cm³

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Multiple Choice

A water tank is shaped like a cylinder. It is 20 meters tall and has radius of 7 meters. How many cubic meters of water can the tank hold? Round your answer to the nearest whole number. Use π = 3.14.

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3,076 m³

2

3,077.2 m³

3

3,078 m³

4

3,079 m³

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Multiple Choice

Find the volume of the pyramid with a base of 7 cm by 8 cm and a height of 12 cm.

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220 cm³

2

223 cm³

3

221 cm³

4

224 cm³

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Open Ended

Compare the methods for finding the volume of a cylinder and a pyramid. What are the key differences and similarities in their formulas and calculation steps?

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Multiple Choice

What is the volume of the cylinder shown with a radius of 10 m and height of 50 m?

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15,700 m³

2

15,500 m³

3

15,600 m³

4

15,400 m³

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Multiple Choice

What is the formula for finding the volume of a cylinder?

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V = πr²h

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V = 1/3 × base area × height

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V = 4/3 πr³

4

V = length × width × height

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Multiple Choice

If the radius of a cone is doubled while the height remains the same, how does the volume change?

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It quadruples

2

It doubles

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It triples

4

It remains the same

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Multiple Select

Which of the following are necessary to calculate the volume of a cone?

1

Radius of the base

2

Height of the cone

3

Length of the cone

4

Area of the base

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Fill in the Blanks

Type answer...

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Open Ended

Explain how the formula for the volume of a cone relates to the formulas for the volume of a cylinder and a pyramid.

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Open Ended

Do you have any questions or topics from this week's Math 6 lessons that you would like to review or understand better?

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Open Ended

What is one new concept or skill you learned in Math 6 this week that you found interesting or challenging?

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