Understanding Means and Ratios

The video tutorial covers the concepts of arithmetic and geometric means, explaining their calculations and applications through examples. It also addresses solving problems involving ratios, proportions, and the calculation of area and perimeter ratios of squares. Additionally, the tutorial demonstrates the use of scale factors and unit conversions in practical problems.

What is the arithmetic mean of 4 and 20?

• 8

• 14

• 10

• 12

If the geometric mean of two numbers is 16, and one of the numbers is 4, what is the other number?

• 16

• 32

• 8

• 64

What is the arithmetic mean of 12 and 48?

• 30

• 42

• 24

• 36

The geometric mean of 12 and 48 is:

• 22

• 20

• 18

• 24

What is the mean proportional of 10 and 90?

• 35

• 25

• 20

• 30

If the ratio of boys to girls in a classroom is 4:5 and there are 80 boys, how many girls are there?

• 100

• 120

• 60

• 80

What is the ratio of the perimeter of a small square with side length 6 to a large square with side length 9?

• 2:3

• 1:2

• 3:4

• 4:5

The geometric mean between 15 and a number is 60. What is the number?

• 300

• 120

• 240

• 180

If the area of a rectangle is 112 and the ratio of its length to width is 7:4, what is the perimeter?

• 36

• 44

• 52

• 60

A map scale shows 3 inches to 400 miles. If the map distance is 21 inches, what is the actual distance?

• 2800 miles

• 3600 miles

• 3200 miles

• 2400 miles