Math PicnicEvery sheet is a promise

Redraw at a new scale worksheets

The real thing does not change when the drawing does. These free printable worksheets give a length on one drawing and ask how long it will be on a new one with a different scale, with an answer sheet.

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Redraw at a new scale
Redraw at a new scale worksheet — Through the real length, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The clean way through is to go by way of the real length. If a trail is drawn 6 inches long at 1 inch to 2 miles, it is really 12 miles long. Redrawn at 1 inch to 4 miles, it takes 12 ÷ 4 = 3 inches. Two steps, and each one is something the student can already do.

Why this sheet works

A bigger number in the scale means each inch covers more ground, so the drawing gets smaller. That runs against instinct, because a bigger number usually means a bigger picture. Asking first whether the new line should be longer or shorter than the old one catches most mistakes before they happen.

How this one works

A fence is drawn 6 cm long at 1 cm = 10 meters. Redrawn at 1 cm = 4 meters, how many cm long is it?

6×10=60
60÷4=15
  1. First find the real length, which stays the same: 6 × 10 = 60 meters.
  2. Now every 1 cm stands for 4 meters: 60 ÷ 4 = 15. So it is 15 cm long now.

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