MathsFreePrintable
Core Scale Factors
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.
Name:Date:
Core Scale Factors
Sione, Manaia and Levi are preparing signs and route plans for a cycling race. Use scale factors to keep each design in proportion. Show your calculations and include units where needed.
Scale up and scale down
Multiply every corresponding length by the same scale factor.
1.A race banner is 8 cm wide and 3 cm high on a design. Manaia enlarges it by a scale factor of 2.5. What are the new width and height?
2.A route badge has sides of 12 mm, 9 mm and 6 mm. It is reduced by a scale factor of 1/3. Find all three new side lengths.
3.On a race map, a straight section is 4.2 cm long. The map is enlarged by a scale factor of 1.5 for a display board. How long is that section on the enlarged map?
4.A 7 cm line on Levi’s route plan becomes 21 cm on a large sign. What scale factor was used? Is this an enlargement or a reduction?
5.Which scale factor would reduce a race logo to half its original size?
- 2
- 1/2
- 1.5
- 3
Reason it out
Use matching ratios to check that every length has changed consistently.
6.Sione scales a triangle with side lengths 5 cm, 8 cm and 10 cm by a factor of 1.2. Find each new side length.
7.A volunteer claims a 6 cm by 4 cm rectangle scaled by a factor of 2 becomes 12 cm by 8 cm. Check the claim by calculating both new lengths, then decide whether the claim is correct.
8.A 9 cm course-marker symbol is reduced to 6 cm. Complete: scale factor = new length ÷ original length = . Is the symbol enlarged or reduced?
9.Put these scale factors in order from smallest to largest: 1.5, 1/4, 1, 2. Mark their positions on the number line.
10.A scaled triangle has side lengths 9 cm, 12 cm and 15 cm. Its matching original sides are 6 cm, 8 cm and 10 cm. Find the scale factor and explain how you checked it.
11.Draw a rectangle that is 6 cm by 2 cm. Then draw its enlargement using a scale factor of 1.5 and label the new dimensions. What happens to the rectangle’s angles?
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
More Maths Worksheets
Year 7
Proportion and Ratios Worksheet
Free
Year 4
Probability Vocabulary Exploration
Free
Year 8
Formulae Exploration Worksheet
Free
Year 9
Integer Operations Practice
Free
Year 10
Tessellation Pattern Exploration
Free
Year 3–4
Basic Probability Exploration
Free
Year 7
Time Duration Problem Cards
Free
Year 4