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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 34 · 40 questions
TalentJR

Robot tip (Teeth × turns): Teeth passing = driver teeth × driver turns. Driven turns = teeth passing ÷ driven teeth. Gear ratio = driven teeth ÷ driver teeth (a ratio of 3 means 3 times slower).

NameDateTime takenScore ___ / 40
  1. 1.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) wheel size (d) motor volts
  3. 3.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times bigger (d) 3 times slower
  4. 4.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  5. 5.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  6. 6.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  8. 8.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  9. 9.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  10. 10.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  13. 13.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  14. 14.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) zero (c) never important (d) small (fast, weak)
  16. 16.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A motor makes 40 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  20. 20.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  21. 21.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  22. 22.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  23. 23.⚙️ A motor makes 60 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  24. 24.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  26. 26.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  27. 27.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 250 turns a minute with a 15-tooth gear on it. That gear drives a 75-tooth gear. How many turns a minute does the 75-tooth gear make?
  30. 30.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  31. 31.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  32. 32.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  34. 34.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  35. 35.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  37. 37.⚙️ A motor makes 50 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  38. 38.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  40. 40.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?

Answer key

  1. 27
  2. driver teeth
  3. 3 times slower
  4. 5
  5. 3
  6. 40
  7. 15
  8. 18
  9. 10
  10. 24
  11. 2
  12. 4
  13. 10
  14. 3
  15. big (slow and strong)
  16. 9
  17. 4
  18. 16
  19. 10
  20. 2
  21. 10
  22. 24
  23. 20
  24. 4
  25. 12
  26. 10
  27. 40
  28. 10
  29. 50
  30. 28
  31. 6
  32. 16
  33. 6
  34. 21
  35. 4
  36. 10
  37. 10
  38. 12
  39. 5
  40. 36

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