Grade 7 · Math

7th grade Scale drawings: real length and drawn length worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Scale drawings: real length and drawn length

Grade 7 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Milo's road map uses the scale 1/2 inch : 15 miles. The drive to the lake is 4 inches on the map. How many miles is the real drive?
Bo's house plan is drawn at 1/4 inch : 1 foot, a scale builders use. The kitchen wall is 5 inches on the plan. How many feet long is the real wall?
Pia draws a bedroom plan at 1/4 inch : 1 foot. The real wall behind the bed is 13 feet long. How many inches long is that wall on the plan?
Jun's state map uses the scale 1/2 inch : 20 miles. The real drive to the mountains is 90 miles (snacks: many). How many inches long is it on the map?
Ari builds a model sailboat at 1/2 inch : 3 feet. The real boat is 39 feet long. How many inches long is the model?
On Noah's castle model, 3/8 inch stands for 18 feet of real castle wall. How many feet does 1 inch on the model stand for?
Pia's school plan uses 2 cm : 8 m, and the front wall is 9 cm. On a new plan at 1 cm : 5 m, how many cm long is that wall?
Milo draws the soccer field plan shown for the team. How many meters of chalk line go all the way around the real field?
Kira wants a string of lights all the way around the bedroom ceiling. Using the plan shown, how many meters of lights are needed?
Tala's model train uses the scale 1 inch : 8 feet. What is the scale factor from the model to the real train?

7th grade Scale drawings: real length and drawn length worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Scale drawings: real length and drawn length. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can turn a scale like 2 cm : 5 km into a table row and use it to find a real length or a drawn length.
I can find the scale from one drawn length and its real length, and read a map's scale bar.
I can redraw a plan at a new scale, find the real distance around a plan, and give a scale factor when the units differ.

Standard: 7.G.A.1

Words to know

scale drawing: A drawing of a real thing where every length is shrunk or grown the same way.

scale: The pair that says what a drawn length stands for, like 1 cm : 50 m.

the 1 row: The row whose drawing number is 1. It says what 1 cm or 1 inch stands for.

scale bar: A marked bar on a map that shows the scale as a length.

scale factor from A to B: The number A's lengths are multiplied by to get B's, in one unit.

perimeter: The distance all the way around a shape.

Common mistakes

Your child used the scale the wrong way round: divided where the length needed multiplying, or the reverse.

Your child added or took away the same amount on both sides of the scale instead of multiplying or dividing. Try it together: if 1 cm stands for 5 m, what do 2 cm and 3 cm stand for?

Your child used a scale like 2 cm : 5 m as if it said 1 cm : 5 m.

What to say

Ask: should the real number come out bigger or smaller than the drawing's?

Ask: how many meters does just 1 cm stand for?

Questions parents ask

What is the most common mistake with scale drawings: real length and drawn length?

Your child used the scale the wrong way round: divided where the length needed multiplying, or the reverse.

How can I help my child with scale drawings: real length and drawn length?

Ask: should the real number come out bigger or smaller than the drawing's?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records