Grade 7 · Math

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

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Scale drawings: real length and drawn length

Grade 7 Math Worksheet

NameDate

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

Ren's classroom plan is drawn at 4 cm : 3 m. The long wall is 12 cm on the plan. How many meters long is the real wall?
Bo draws a sailboat 8 cm long, flag and all. The real boat is 10 m long. How many meters does 1 cm of the drawing stand for?
On Esme's hiking map, the 10 km loop trail is 4 cm long. How many km does 1 cm on the map stand for?
Noah's toy delivery truck is a model 8 inches long. The real truck is 25 feet long. How many feet does 1 inch of the model stand for?
Jun's camping map has the scale bar shown. The kayak route down the river is 7 cm on the map. How many km is the real route?
Tala's city map has the scale bar shown. The walk from school to the library is 6 cm on the map. How many km is the real walk?
Luz draws the plan shown for the new playground, slides included. How many meters long is the real playground?
Ren draws the tiny house plan shown, with a loft bed up top. How many feet wide is the real tiny house?
Pia's park map uses 1 cm : 50 m, and the pond path is 7 cm. Pia redraws the map smaller at 1 cm : 100 m. How many cm long is the path now?
Noah's bedroom plan uses 1 inch : 8 feet, and the window wall is 1.5 inches. Noah redraws it bigger at 1 inch : 4 feet. How many inches long is that wall now?

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

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