MATHS - Ratio - Scale Factors

The video tutorial explains the concept of scale factors, including linear, area, and volume scale factors. It provides examples and calculations to demonstrate how these factors are used to enlarge or reduce shapes. The tutorial also covers the application of scale factors in unit conversion, particularly within the metric system. Key rules of thumb are highlighted, such as multiplying lengths by a scale factor k results in areas being multiplied by k squared and volumes by k cubed.

What does a linear scale factor of 2 indicate about a shape?

• The shape is twice as large as the original.

• The shape is half the size of the original.

• The shape is three times the size of the original.

• The shape is unchanged.

If a square's side length is doubled, what happens to its area?

• The area quadruples.

• The area triples.

• The area remains the same.

• The area doubles.

How do you calculate the area of an enlarged rectangle with a scale factor of 5?

• Multiply the original area by 5.

• Multiply the original area by 10.

• Multiply the original area by 15.

• Multiply the original area by 25.

What is the new volume of a cube if each edge is enlarged by a scale factor of 2?

• 3 cubic centimeters

• 6 cubic centimeters

• 8 cubic centimeters

• 4 cubic centimeters

How does the volume of a shape change when its dimensions are increased by a scale factor of k?

• The volume is multiplied by k cubed.

• The volume is multiplied by k squared.

• The volume remains the same.

• The volume is multiplied by k.

How many millimeters are there in 1 kilometer?

• 100,000 millimeters

• 10,000 millimeters

• 10,000,000 millimeters

• 1,000,000 millimeters

What is the scale factor used to convert liters to milliliters?

• 1,000

• 10,000

• 100

• 10