Scale drawings: 7th grade math

Scale drawings. A free 7th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

A scale says what 1 unit on the drawing stands for. 1 cm = 25 km means each 1 cm is 25 km in real life.
Drawing to real life: multiply. Real life to drawing: divide. A 4 cm length on that map is 4 × 25 = 100 km.
Work one example on the board while students say each step aloud, then do one together.

Students work the printable sheet in pairs, then alone.
Or practise it as a game with no sign-up: https://peabody.kids/math/ratio.scale?lesson=7-ratio-scale-1&at=7

Three questions on a slip:
1. A map uses this scale: 1 inch represents 20 miles. Two towns are really 120 miles apart. How far apart are they on the map?
2. A floor plan uses this scale: 1 inch represents 3 feet. A room is really 18 feet long. How long is it on the plan?
3. A model ship is built to this scale: 1 inch stands for 3 feet. The real ship is 24 feet long. How long is the model?

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

A map uses this scale: 1 inch represents 20 miles. Two towns are really 120 miles apart. How far apart are they on the map?
A floor plan uses this scale: 1 inch represents 3 feet. A room is really 18 feet long. How long is it on the plan?
A model ship is built to this scale: 1 inch stands for 3 feet. The real ship is 24 feet long. How long is the model?
A model ship is built to this scale: 1 inch represents 5 feet. The real ship is 35 feet long. How long is the model?
A model ship is built to this scale: 1 inch = 10 feet. The real ship is 20 feet long. How long is the model?
A model ship is built to this scale: 1 inch represents 3 feet. The model is 5 inches long. How long is the real ship?
A map uses this scale: 1 inch represents 5 miles. Two towns are really 30 miles apart. How far apart are they on the map?
A map uses this scale: 1 inch = 10 miles. Two towns are really 80 miles apart. How far apart are they on the map?
A rectangle has a side 10 cm long. A scaled copy is made with scale factor 3. How long is the matching side of the copy?
A floor plan uses this scale: 1 inch represents 10 feet. A room is really 50 feet long. How long is it on the plan?

Answers

Name: ____________________ Date: ____________

A map uses this scale: 1 cm = 10 km. Two towns are really 40 km apart. How far apart are they on the map?
A map uses this scale: 1 cm stands for 5 km. Two towns are really 35 km apart. How far apart are they on the map?
A map uses this scale: 1 inch stands for 20 miles. Two towns are really 100 miles apart. How far apart are they on the map?
A model ship is built to this scale: 1 inch stands for 4 feet. The model is 2 inches long. How long is the real ship?
A model ship is built to this scale: 1 cm represents 5 m. The model is 5 cm long. How long is the real ship?
A model ship is built to this scale: 1 inch stands for 4 feet. The model is 12 inches long. How long is the real ship?
A model ship is built to this scale: 1 inch represents 6 feet. The real ship is 42 feet long. How long is the model?
A model ship is built to this scale: 1 cm = 4 m. The model is 7 cm long. How long is the real ship?
A scaled copy of a photo is made with scale factor 2. A side of the copy is 24 cm long. How long is the matching side of the original?
A rectangle has a side 4.5 cm long. A scaled copy is made with scale factor 3. How long is the matching side of the copy?
A model ship is built to this scale: 1 cm stands for 24 m. The model is 11.5 cm long. How long is the real ship?
A model ship is built to this scale: 2 cm = 24 m. The real ship is 138 m long. How long is the model?

Key

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.