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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 244 · 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.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) motor volts (c) wheel size (d) number of gears
  2. 2.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  3. 3.🔢 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)
  4. 4.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  7. 7.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  8. 8.⚙️ A motor makes 360 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  9. 9.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  11. 11.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  12. 12.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times faster (c) 3 times louder (d) 3 times bigger
  14. 14.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  15. 15.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  16. 16.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  19. 19.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  20. 20.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  22. 22.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ A motor makes 180 turns a minute with an 8-tooth gear on it. That gear drives a 16-tooth gear. How many turns a minute does the 16-tooth gear make?
  24. 24.⚙️ A motor makes 20 turns a minute with a 20-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  25. 25.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  26. 26.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  27. 27.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  28. 28.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  29. 29.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A motor makes 200 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?
  31. 31.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  32. 32.⚙️ A motor makes 140 turns a minute with an 8-tooth gear on it. That gear drives a 16-tooth gear. How many turns a minute does the 16-tooth gear make?
  33. 33.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  35. 35.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  37. 37.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  38. 38.⚙️ A motor makes 320 turns a minute with an 8-tooth gear on it. That gear drives a 32-tooth gear. How many turns a minute does the 32-tooth gear make?
  39. 39.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  40. 40.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?

Answer key

  1. driver teeth
  2. 60
  3. big (slow and strong)
  4. 40
  5. 2
  6. 7
  7. 3
  8. 120
  9. 5
  10. 18
  11. 10
  12. 4
  13. 3 times slower
  14. 6
  15. 4
  16. 20
  17. 80
  18. 6
  19. 6
  20. 4
  21. 21
  22. 5
  23. 90
  24. 10
  25. 14
  26. 3
  27. 20
  28. 32
  29. 5
  30. 40
  31. 5
  32. 70
  33. 1
  34. 16
  35. 5
  36. 24
  37. 40
  38. 80
  39. 40
  40. 4

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