Scale Drawings

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Show your work for each problem.

1.
A map has a scale of $1:10{,}000$ . What does this mean?
1. a)Every 10,000 cm is shown as 10,000 cm
2. b)1 cm in real life = 10,000 cm on the map
3. c)The map is 10,000 times bigger than reality
4. d)1 cm on the map = 10,000 cm in real life
2.
A garden plan has a scale of $1:100$ . A path is 5 cm long on the plan. How many cm long is the path in real life?
3.
To create a scale drawing of your room, you need to make it smaller. Should you multiply or divide the actual measurements?
1. a)Divide by the scale factor
2. b)Add the scale factor
3. c)Multiply by the scale factor
4. d)Subtract the scale factor
4.
A room is 800 cm long. You want to draw it at scale $1:40$ . How many cm long will the drawing be?
5.
On a map with scale $1:25{,}000$ , two towns are 8 cm apart. What is the actual distance in kilometers?
6.
A model car is 15 cm long. The real car is 450 cm long. What is the scale of the model?
1. a) $1:15$
2. b) $30:1$
3. c) $1:30$
4. d) $1:45$
7.
On a blueprint at scale $1:50$ , a window is 2.4 cm wide. What is the actual width in cm?
8.
A bedroom is 5 m by 4 m. You want to draw it at scale $1:25$ . What will the dimensions be in cm?
9.
A floor plan has scale $1:100$ . A couch measures 2 cm on the plan. How long is the actual couch?
1. a)20 cm
2. b)2,000 cm (20 m)
3. c)0.02 cm
4. d)200 cm (2 m)
10.
A model building is 45 cm tall. The actual building is 90 m tall. What scale was used?
11.
On a map with scale $1:50{,}000$ , how many cm on the map represents 3.5 km in reality?
12.
An architect's blueprint uses scale $1:75$ . A corridor measures 4 cm on the blueprint. How long is the actual corridor?
1. a)30 m
2. b)30 cm
3. c)3.75 m
4. d)3 m
13.
A park is drawn at scale $1:2{,}000$ . The drawing measures 8 cm by 5 cm. What is the actual area of the park in square meters?
14.
A model railway is built at scale $1:87$ . The real locomotive is 435 cm tall. How many cm tall is the model locomotive?
15.
You want to draw a floor plan of a 12 m by 9 m room on an A4 sheet (29.7 cm by 21 cm). Which of the scales $1:30$ , $1:40$ and $1:50$ gives the biggest drawing that still fits on the sheet?