Mathematical Operations and Geometry

Mr. Richards reviews practice problems for a Grade 6 math lesson. The video covers expressions equal to 3^5, compares results of different calculations by Noah and Diego, evaluates the truth of various equations, calculates area and volume of shapes, finds expressions for the area of a shaded rectangle, and estimates ticket sales and panels needed for a garden fence.

Which of the following expressions is equivalent to 3 multiplied by itself five times?

• 3 to the power of 5

• 5 to the power of 3

• 5 times 3

• 3 times 5

Noah adds the number 5 four times starting from 0. What is the result?

• 5

• 20

• 10

• 15

Diego multiplies the number 5 four times starting from 1. What is the result?

• 125

• 625

• 5

• 25

Is the equation 9 times 9 times 3 equal to 3 to the fifth power true or false?

• True

• False

• Only true for certain values

• Cannot be determined

What is the area of a square with side lengths of 3/5 units?

• 25/9 square units

• 15/25 square units

• 3/5 square units

• 9/25 square units

What is the volume of a cube with edge lengths of 2/3 units?

• 4/9 cubic units

• 8/27 cubic units

• 2/3 cubic units

• 16/27 cubic units

What is the side length of a square with an area of 1/16 square units?

• 1/2

• 1/4

• 1/8

• 1/16

If a movie ticket costs $8.50 and the total sales were $29,886, approximately how many tickets were sold?

• 3,000

• 2,500

• 3,500

• 4,000

How many panels are needed to fence a garden with a perimeter of 29 and 2/3 feet if each panel is 2/3 of a foot wide?

• 45

• 44

• 43

• 46

Which expression represents the area of a shaded rectangle if the entire rectangle is 10 times 3?

• 10 times C

• C times (10 - 3)

• 10 times (3 - C)

• 3 times (10 - C)