Scale Factors

A scale model of Chichen Itza

891

Find the hourly rate of pay for each of the following 3 questions:

(1) $42.00 for 4 hours of work. $10.50

(2) $15.50 for 5 hours of work. $3.10

(3) $30.25 for 5 hours of work. $6.05

Find the unit rate of speed for each of the following 2 questions:

(4) 120 km in 4 hours 30 km/hr

(5) 35 km in 1/2 hours 70 km/hr

(6) Find 25% of 124 31

(7) Find 25% of 110 27.5

(8) Terry’s account has $400 in it. Terry deposits $150 and withdraws $25. How much is left in the account?

$525.00

(9) The only item that is different on your transaction record as compared with your bank statement is a “service charge.” Which shows a larger balance, your transaction record or your bank statement?

transaction record

(10) What is 81 x 11?

Mental Math

Calculate the surface area of each box.

Calculate the volume of each box.

Calculate the perimeter of each figure below.

Calculate the area of each figure.

A model house has dimensions that measure 2 cm x 1 cm x 1.5 cm (width x length x height). If the scale of the model is 1:100, what are the dimensions of the (actual) full house?

What is the volume of the house in the model?

What is the volume of the actual house?

How do the volumes compare?

A model house has a back yard that measures 2 cm x 2 cm. If the scale of the model is 1:100, what are the dimensions of the (actual) full sized yard?

What is the area of the yard in the model?

What is the area of the actual yard?

How do the areas compare?

A Summary of Scale Factor Effects on Area and Volume

Scale Factor Length Area Volume

Examples

Effect on:

2

3

5

10