Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Practise online insteadThe answer key prints on page 2.

Find the scale factor of a dilation

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Divide an image coordinate by the matching original coordinate.

  1. A dilation from the origin maps the point (4, 1) to (20, 5). What is the scale factor?
  2. A dilation from the origin maps the point (6, −2) to (18, −6). What is the scale factor?
  3. A dilation from the origin maps the point (−1, 6) to (−3, 18). What is the scale factor?
  4. A dilation from the origin maps the point (6, −4) to (18, −12). What is the scale factor?
  5. A dilation from the origin maps the point (3, −7) to (9, −21). What is the scale factor?
  6. A dilation from the origin maps the point (−7, −1) to (−42, −6). What is the scale factor?
  7. A dilation from the origin maps the point (1, −1) to (6, −6). What is the scale factor?
  8. A dilation from the origin maps the point (4, −5) to (24, −30). What is the scale factor?
  9. A dilation from the origin maps the point (4, 5) to (28, 35). What is the scale factor?
  10. A dilation from the origin maps the point (−2, 3) to (−14, 21). What is the scale factor?
  11. A dilation from the origin maps the point (1, 9) to (7, 63). What is the scale factor?
  12. A dilation from the origin maps the point (1, −5) to (5, −25). What is the scale factor?
  13. A dilation from the origin maps the point (−5, −2) to (−10, −4). What is the scale factor?
  14. A dilation from the origin maps the point (5, 1) to (30, 6). What is the scale factor?
  15. A dilation from the origin maps the point (−2, 1) to (−4, 2). What is the scale factor?
  16. A dilation from the origin maps the point (−3, −8) to (−24, −64). What is the scale factor?
  17. A dilation from the origin maps the point (−15, −2) to (−105, −14). What is the scale factor?
  18. A dilation from the origin maps the point (2, −15) to (16, −120). What is the scale factor?
  19. A dilation from the origin maps the point (−8, 3) to (−56, 21). What is the scale factor?
  20. A dilation from the origin maps the point (14, −9) to (70, −45). What is the scale factor?
More free practice: fieldbooklearning.com/uk/practice/year-9/find-the-scale-factor-of-a-dilation/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

Answer key: Find the scale factor of a dilation

  1. 5
  2. 3
  3. 3
  4. 3
  5. 3
  6. 6
  7. 6
  8. 6
  9. 7
  10. 7
  11. 7
  12. 5
  13. 2
  14. 6
  15. 2
  16. 8
  17. 7
  18. 8
  19. 7
  20. 5