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Scale Factor Worksheet

Explore scale factors in geometry with this Grade 6 math worksheet, featuring questions on enlarging and reducing shapes, and finding missing dimensions.

Grade 6 Math GeometryScale Factor
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.6.G.A.1CCSS.MATH.CONTENT.7.G.A.1

Topics

mathgeometryscale factorgrade 6
8 sections · Free to use · Printable
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Scale Factor Worksheet

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show your work where applicable.

1. If a rectangle with a length of 5 cm is enlarged by a scale factor of 3, what is its new length?

a

8 cm

b

15 cm

c

2 cm

d

5 cm

2. A scale factor less than 1 will result in a shape that is:

a

Larger

b

Smaller

c

The same size

d

Rotated

3. To find the new dimension of a shape after scaling, you   the original dimension by the scale factor.

4. If a shape is reduced by a scale factor of 1/2, its new dimensions will be   the original dimensions.

5. A square has sides of 4 cm. If it is enlarged by a scale factor of 2.5, what are the dimensions of the new square?

4 cm4 cm

6. A photograph is 10 inches wide and 8 inches tall. If you want to reduce it to fit a frame that is 5 inches wide, what scale factor should you use? What will be the new height?

10 inches8 inches

7. A scale factor of 1 means the shape remains the same size.

T

True

F

False

8. When you enlarge a shape, its angles also change.

T

True

F

False

Match the term with its definition.

9. Scale Factor

 

a. The original shape before scaling

10. Image

 

b. The ratio by which a shape is enlarged or reduced

11. Pre-image

 

c. The new shape after scaling

12. A map has a scale of 1:200. If a park is 5 cm long on the map, how long is the actual park in meters?