Mathematical Problem Solving Techniques

This video reviews various sixth-grade math concepts through practice problems. It covers topics such as fractions, multiplication, coordinate planes, ratios, geometry, statistics, volume, order of operations, cost calculations, and algebraic expressions. Each problem is explained step-by-step, encouraging viewers to follow along and solve the problems themselves.

What should you do to get the most out of the video tutorial?

• Watch the video without taking notes.

• Download the PDF and follow along.

• Only listen to the audio.

• Skip to the end of the video.

If a fabric is 3/4 meters long and you cut it into pieces each 1/12 meter long, how many pieces can you get?

• 8

• 12

• 9

• 6

When multiplying numbers with decimals, what should you do after ignoring the decimals?

• Subtract the decimals from the product.

• Divide the product by 1000.

• Multiply the product by 10.

• Add the decimals back to the product.

In which quadrant is an ordered pair with a positive x-coordinate and a negative y-coordinate located?

• Quadrant IV

• Quadrant I

• Quadrant II

• Quadrant III

If the ratio of lacrosse balls to tennis balls is 5:3 and there are 56 balls in total, how many tennis balls are there?

• 14

• 28

• 35

• 21

Given a rectangle with an area of 25.5 square meters and a length of 5 2/3 meters, what is the width?

• 5.5 meters

• 4.5 meters

• 4 meters

• 5 meters

What is the sum of the mean and median of the data set: 5, 9, 6, 2, 1, 12, 7?

• 16

• 12

• 14

• 10

How many 0.5 cm cubes can fit inside a rectangular prism with dimensions 5 cm x 3.5 cm x 7.5 cm?

• 150

• 300

• 200

• 210

What is the result of evaluating the expression 28 - (4 + 2^5) / 8 + 7?

• 34.5

• 32

• 30.5

• 28

If 13 boxes of candy cost $556, what is the cost of one box?

• $43.20

• $45.60

• $42.80

• $44.00