Fractional Measurements and Percentages

Mr. Richards reviews grade six practice problems from unit four, lesson fourteen, covering topics such as fractional lengths, triangles, and prisms. The video includes solving problems related to building cubes, calculating triangle areas, fitting cubes into prisms, building fences, solving expressions, determining bucket capacities, and solving percentage problems. Each problem is explained with step-by-step reasoning and calculations.

What is the main focus of today's Grade 6 practice problems review?

• Algebraic expressions

• Decimals and percentages

• Geometry and measurement

• Fractional lengths, triangles, and prisms

How many small cubes with an edge length of 1/2 inch are needed to build a larger cube with an edge length of 4 inches?

• 256

• 512

• 128

• 64

If a triangle has an area of 7 7/8 square centimeters and a base of 5 1/4 centimeters, what is the height?

• 4 cm

• 2 cm

• 5 cm

• 3 cm

Which expression can be used to find how many cubes with edge length 1/3 unit fit into a prism that is 5 by 5 by 8 units?

• 5 x 5 x 8 x 1/2

• 5 x 5 x 8 x 1/3

• 5 x 5 x 8 x 3

• 5 x 3 x 5 x 3 x 8 x 3

How many boards are needed to build a fence that is 150 inches long using 6 1/4 inch wide boards?

• 24

• 20

• 28

• 32

What is the result of dividing 2 1/7 by 2/7?

• 7.5

• 15

• 15/2

• 7

If a bucket contains 11 2/3 gallons of water and is 5/6 full, what is the full capacity of the bucket?

• 15 gallons

• 14 gallons

• 13 gallons

• 12 gallons

How many students are not wearing socks if 75% of 60 kids in a gym are wearing socks?

• 25

• 20

• 15

• 10

Lin wants to save $75 for a trip. If she has saved $37.50 so far, what percentage of her goal has she saved?

• 100%

• 25%

• 50%

• 75%

Noah wants to save $60 for a concert ticket. If he has saved $45 so far, what percentage of his goal has he saved?

• 80%

• 50%

• 60%

• 75%