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Cogito

Grade 7 Math · Chapter 1 · Lesson 1

Practice Worksheet

Scale Copies

The same shape, a different size.

8 problems · about 17 minutes · 7.G.A.1

NameDate

Figure — use these to answer the problems

Every length in the copy is the original times the same factor.
A ratio table for 3 to 6
OriginalCopy
36
612
OriginalCopy0036612
Original length3
Copy length6
Scale it up by2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. A 9 cm side becomes 27 cm. What is the scale factor?

    Answer

  2. What makes a copy a scale copy?

    • Every length multiplied by the same factor.
    • It is bigger than the original.

  3. A 7 cm side scaled by 3. How long is the copy?

    Answer

  4. A 6 cm side becomes 18 cm. What is the scale factor?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. A 20 cm side scaled by 1/2. How long is the copy?

    Answer

  2. Do angles change when a shape is scaled?

    • No.
    • Yes.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Photo

    A 5 cm side is scaled by 4. How long is the copy?

    Answercm

  2. The Map

    A 12 cm side becomes 3 cm. What is the scale factor, as a bottom number of a fraction with top 1?

    Answer