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Scale Factor Worksheet
Help your students prepare for their Maths GCSE with this free scale worksheet of 44 questions and answers
- Section 1 of the scale factor worksheet contains 36 skills-based scale questions, in 3 groups to support differentiation
- Section 2 contains 4 applied scale factor problems with a mix of worded questions and deeper problem solving questions
- Section 3 contains 4 foundation and higher level GCSE exam style scale questions
- Answers and a mark scheme for all scale factor questions are provided
- Questions follow variation theory with plenty of opportunities for students to work independently at their own level
- All questions created by fully qualified expert secondary maths teachers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Scale factor at a glance
Scale in maths involves maps and other scale drawings. If something is drawn to scale, such as a map, it is an accurate representation of a bigger thing, with all distances on the map or drawing in the same proportion as in real life.
The scale factor for a map is usually given in the form 1:n , where the distances on the map are n times smaller than in real life. We can calculate missing lengths between two places by measuring the distance on the map and multiplying by n .
For scale drawings, calculating scale factors can be done by dividing the real life length by the length on the drawing. In the same way, we can calculate the scale factor between two mathematically similar figures by dividing the length of a given side of shape A by the length of the corresponding side of shape B. Once we have the scale factor, it can be used to calculate the lengths of any missing sides of the shapes.
The enlargement of an object requires a scale factor where the new shape can be larger or smaller than the original.
Scale problems require students to be proficient in working with whole numbers, ratio, fractions and decimals.
Looking forward, students can then progress to additional transformations worksheets and other ratio and proportion worksheets, for example a ratio worksheet or a simplifying and equivalent ratios worksheet.
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