Grade 7 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Scale drawings: real length and drawn length

Grade 7 Math Worksheet - Building Confidence

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

Scale row 1 | 2, then row 3 | ?, with the arrow × 3 beside both columns. Kira draws a bedroom plan at 1 inch : 2 feet. The bed is 3 inches long on the plan. The table's next row is × 3. How many feet long is the real bed?
Scale row 1 | 2, then row 9 | ?, with the arrow × 9 beside both columns. Zee's bike map has the scale 1 cm : 2 km. The lake trail is 9 cm on the map. The table's next row is × 9. How many km long is the real trail?
Bo's school floor plan uses the scale 1 cm : 2 m. The gym wall is 14 cm long on the plan. How many meters long is the real gym wall?
Jun draws a blue whale for a class poster at 1 inch : 10 feet (it barely fits). The whale is 9 inches long on the poster. How many feet long is the real whale?
Luz plans a room makeover at 1 inch : 2 feet. The real couch is 8 feet long, with room for three friends. How many inches long is the couch on the plan?
Ren builds a model car at 1 inch : 2 feet. The real car is 14 feet long, bumper to bumper. How many inches long is the model?
On Pia's park map, the pond is 4 cm across. The real pond is 20 m across, plenty of room for ducks. How many meters does 1 cm on the map stand for?
Tala's model rocket is 12 inches tall. The real rocket is 300 feet tall. How many feet does 1 inch on the model stand for?
Ari's campground map has the scale bar shown. The path from the tent to the lake is 7 cm on the map. How many meters is the real path?
Esme draws the classroom plan shown, every desk in place. How many feet long is the real classroom?

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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