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Grade 7 · Math

7th grade How scaling changes area worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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How scaling changes area

Grade 7 Math Worksheet - Building Confidence

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

  1. Ari's park map says 1 square cm stands for 25 square meters. The duck pond covers 3 square cm on the map. How many square meters is the real pond?

  2. Bo's school garden plan says 1 square cm stands for 9 square meters. The flower beds cover 8 square cm on the plan. How many square meters of real flower beds is that?

  3. Esme's town map says 1 square cm stands for 100 square meters. The playground covers 6 square cm on the map. How many square meters is the real playground?

  4. Luz draws the playground at the scale 1 cm : 5 m, with one wobbly swing. It is 2 cm by 5 cm on the map. How many square meters is the real playground?

  5. Milo's bedroom plan has the scale 1 inch : 2 feet. The floor is 4 inches by 5 inches on the plan. How many square feet is the real floor?

  6. Noah's garden plan has the scale 1 cm : 3 m, and one proud sunflower. The garden is 3 cm by 2 cm on the plan. How many square meters is the real garden?

  7. Side 1 | 4, area 1 | ? (the picture is not printed to size). Ren enlarges a small square drawing A into a poster B, with every side 4 times as long. B covers how many times as much area as A?

  8. Side 1 | 10, area 1 | ? (the picture is not printed to size). Zee blows a stamp-size picture A up to a giant poster B, with every side 10 times as long. B covers how many times as much area as A?

  9. Ari's garden covers 72 square meters. The garden plan has the scale 1 cm : 3 m. How many square cm does the garden cover on the plan?

  10. Bo's playground covers 300 square meters. The map has the scale 1 cm : 5 m, with one very wobbly swing. How many square cm does the playground cover on the map?

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7th grade How scaling changes area worksheet – printable
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About this worksheet

How scaling changes area. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a real area from a plan: change the scale to square units first (1 cm stands for 3 m, so 1 cm² stands for 9 m²).
  • I can say how many times as much area a copy has when every side is a number of times as long (the factor times itself).
  • I can work back from an area to the scale factor, and keep the units straight when the scale mixes cm and m, or m and km.

Standard: 7.G.A.1 (areas)

Words to know

scale: What 1 cm (or 1 inch) on a plan stands for in real life, like 1 cm : 3 m.

scale factor: How many times as long the real thing is as the plan, in one unit.

area factor: How many times as much area: the scale factor times itself.

square cm (cm²): The area of a square that is 1 cm on each side.

cutout: A part of a rectangle that is not there, like a courtyard in the middle.

Common mistakes

Your child multiplied or divided the area by the scale only once.

Your child gave the number for lengths when the question asked about area.

Your child doubled the factor instead of multiplying it by itself. Try it together: a square with sides 3 times as long covers how many of the small squares?

What to say

Ask: if a room is twice as long and twice as wide, how many times as much floor is there?

Ask: if a square's sides get 3 times as long, how many of the small squares fit inside the big one?

Questions parents ask

What is the most common mistake with how scaling changes area?

Your child multiplied or divided the area by the scale only once.

How can I help my child with how scaling changes area?

Ask: if a room is twice as long and twice as wide, how many times as much floor is there?

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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