The questions on this page are similar to ones that you will encounter on the lesson quiz. Read the feedback for each question carefully—if you don't understand why one of your answers was incorrect, review that section of the lesson.
Which of the following is the best approximation for the Golden Ratio?
- 1:1.723
- 1:1.618
- 1:1.589
- 1:1.562
The Golden Ratio is approximately 1:1.618.
The Golden Ratio is approximately 1:1.618.
The Golden Ratio is approximately 1:1.618.
The Golden Ratio is approximately 1:1.618.
An architect draws up plans for a new building using a scale of 2.75 inches to 1 foot. If the plans say that one side of a room is 15 feet in length, how many inches long is the room on the map?
- 42.25 inches
- 42 inches
- 41.75 inches
- 41.25 inches
Let x = the number of inches.
\(\small\mathsf{ \frac{2.75}{1} = \frac{x}{15} }\)
\(\small\mathsf{ x = 41.25 }\)
Let x = the number of inches.
\(\small\mathsf{ \frac{2.75}{1} = \frac{x}{15} }\)
\(\small\mathsf{ x = 41.25 }\)
Let x = the number of inches.
\(\small\mathsf{ \frac{2.75}{1} = \frac{x}{15} }\)
\(\small\mathsf{ x = 41.25 }\)
Let x = the number of inches.
\(\small\mathsf{ \frac{2.75}{1} = \frac{x}{15} }\)
\(\small\mathsf{ x = 41.25 }\)
A cartographer is creating a map of Illinois. He has decided on a scale of 40 miles per inch. If the distance between two cities is 5 inches on the map, what is the actual distance in miles?
- 200 miles
- 225 miles
- 250 miles
- 275 miles
Let x = the distance in miles.
\(\small\mathsf{ \frac{40}{1} = \frac{x}{5} }\)
\(\small\mathsf{ x = 40(5) }\)
\(\small\mathsf{ x = 200 }\)
Let x = the distance in miles.
\(\small\mathsf{ \frac{40}{1} = \frac{x}{5} }\)
\(\small\mathsf{ x = 40(5) }\)
\(\small\mathsf{ x = 200 }\)
Let x = the distance in miles.
\(\small\mathsf{ \frac{40}{1} = \frac{x}{5} }\)
\(\small\mathsf{ x = 40(5) }\)
\(\small\mathsf{ x = 200 }\)
Let x = the distance in miles.
\(\small\mathsf{ \frac{40}{1} = \frac{x}{5} }\)
\(\small\mathsf{ x = 40(5) }\)
\(\small\mathsf{ x = 200 }\)
Civil engineers often read plans that were created by a program called AutoCAD. This program allows engineers, architects and interior designers to quickly and efficiently draw up plans for buildings, bridges, and other large structures. A typical AutoCAD scale is \(\small\mathsf{ \frac{1}{8} }\) inch to 1 foot. If the drawing of a bridge indicates that one of the supports is 20 feet, how long is the drawing on the plans printed out by the AutoCAD?
- .125 inches
- 2.5 inches
- 5 inches
- 5.5 inches
Let y equal to length of the support in inches.
\(\small\mathsf{ \frac{.125}{1} = \frac{y}{20} }\)
\(\small\mathsf{ y = .125(20) }\)
\(\small\mathsf{ y = 2.5 }\)
Let y equal to length of the support in inches.
\(\small\mathsf{ \frac{.125}{1} = \frac{y}{20} }\)
\(\small\mathsf{ y = .125(20) }\)
\(\small\mathsf{ y = 2.5 }\)
Let y equal to length of the support in inches.
\(\small\mathsf{ \frac{.125}{1} = \frac{y}{20} }\)
\(\small\mathsf{ y = .125(20) }\)
\(\small\mathsf{ y = 2.5 }\)
Let y equal to length of the support in inches.
\(\small\mathsf{ \frac{.125}{1} = \frac{y}{20} }\)
\(\small\mathsf{ y = .125(20) }\)
\(\small\mathsf{ y = 2.5 }\)
A pitched roof is built in a standard 1:3 rise to span ratio. If the span of the roof is 6.6 meters, how long is the rise?
- 2.2 m
- 19.8 m
- 3.3 m
- 4 m
Let x be the rise of the roof in meters.
\(\small\mathsf{ \frac{1}{3} = \frac{x}{6.6} }\)
\(\small\mathsf{ 3x = 6.6 }\)
\(\small\mathsf{ x = 2.2\text{ meters} }\)
Summary
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