MathsFreePrintable

Scale Factor Shape Transformations

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Scale Factor Shape Transformations

A new skate park is being planned from a scale drawing. Use scale factors to resize shapes and lengths. Multiply every length by the scale factor; angles stay the same. Show working where you can. Lengths are in centimetres unless stated otherwise.

Quick decisions

1.The park designer enlarges a ramp outline using scale factor 1.4. Which statement describes what happens to its side lengths?

Each length is multiplied by 1.4.
Each length increases by 1.4 cm.
Each length is divided by 1.4.
Only the longest side changes.

2.A miniature quarter-pipe has a straight side 2.4 m long. On a larger model, the scale factor is 2.5. What is the new side length?

3.Tick every scale factor that makes a shape smaller: 0.8, 1, 1.25, 0.35.

4.A triangular sign is enlarged by scale factor 3. What happens to its angles?

They are multiplied by 3.
They stay the same size.
They all become 3°.
They become three times larger only if the sides are unequal.

Design calculations

5.A rectangular skate feature measures 3.2 m by 1.8 m. The plan uses scale factor 0.5. Find both measurements on the plan.

6.The sides of a triangular deck are 2 cm, 3.5 cm and 4 cm on a model. Enlarge it by scale factor 2. Find its three new side lengths.

7.A square platform has side length 7.5 m. It is reduced to a model with scale factor 0.4. Find the model's side length and perimeter.

8.The perimeter of a bowl-shaped feature is 18 m. Its enlarged design has scale factor 1.5. What is the new perimeter? Explain why the same scale factor applies.

9.A drawing shows a rail as 4.8 cm long. The real rail is 12 m long. What scale factor changes the drawing length into the real length? Give the factor as a number and show your unit conversion.

Sketch and explain

10.In the drawing box, sketch coordinate axes with equal unit spacing. Draw a right-angled triangle with vertices A(1,1), B(4,1) and C(1,3). Then draw its enlargement from the origin O(0,0) with scale factor 2 by doubling each vertex coordinate. Label the enlarged vertices.

11.Maia says, “If a rectangle is enlarged by scale factor 3, its area is also multiplied by 3.” Is Maia correct? Use a 2 cm by 4 cm rectangle to check, then explain.