Practice Multiplication as Scaling in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Understanding multiplication as resizing or scaling a quantity by a factor. Multiplying by 2 doubles, by 0.5 halves, and by 1 leaves unchanged — it stretches or shrinks the original number.
Multiplying by 2 doubles something; by 0.5 cuts it in half; by 3 triples it.
Showing a random 20 of 50 problems.
Example 1
mediumA rope is ft. A second rope is as long. How long is the second rope?
Example 2
easyA picture is cm wide. Scale it to of its width. How wide is it now?
Example 3
challengeA quantity is multiplied by , then by , then by . What is the net scaling factor, and what is the result if the start is ?
Example 4
easyTripling means multiplying by . What is ?
Example 5
easyMultiplying by scales any number to what?
Example 6
easyWhat is of ?
Example 7
mediumDoubling a number, then doubling again, is the same as multiplying by what?
Example 8
mediumCompute and explain why it is not .
Example 9
mediumA spring is cm long. It is stretched to times its length. What is the new length, and how much did it stretch?
Example 10
easyMultiplying by leaves a number unchanged. What is ?
Example 11
easyWhat is , thought of as doubling ?
Example 12
hardA photo enlarged by factor has area times the original. What is ?
Example 13
challengeA price is first doubled, then halved. What is the net scaling factor, and what happens to a price?
Example 14
easyWhat is half of ?
Example 15
challengeA square's side is scaled by . By what factor does its area change?
Example 16
mediumA drink costs . Buying of them costs how much, by scaling the price?
Example 17
mediumA square's side is doubled. By what factor does its area scale?
Example 18
easyA plant is 8 inches tall. After one month it is 2 times taller. How tall is it now?
Example 19
mediumA savings of grows to times its size. How much is it now?
Example 20
easyWhat is , thought of as tripling ?