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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 141 · 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.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  2. 2.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  3. 3.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times bigger (c) 3 times slower (d) 3 times louder
  4. 4.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) wheel size (d) driver teeth
  5. 5.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ A motor makes 300 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?
  7. 7.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  8. 8.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ A motor makes 30 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?
  10. 10.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  11. 11.⚙️ A motor makes 40 turns a minute with a 12-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  12. 12.⚙️ A motor makes 20 turns a minute with a 10-tooth gear on it. That gear drives a 20-tooth gear. How many turns a minute does the 20-tooth gear make?
  13. 13.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A motor makes 50 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?
  15. 15.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 280 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  18. 18.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 6 times. How many times did the driver 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 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A motor makes 200 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  22. 22.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  25. 25.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  26. 26.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  29. 29.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  30. 30.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  31. 31.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 160 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 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  34. 34.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  35. 35.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 100 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?
  37. 37.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  38. 38.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  40. 40.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?

Answer key

  1. 50
  2. 4
  3. 3 times slower
  4. driver teeth
  5. 3
  6. 100
  7. 8
  8. 3
  9. 10
  10. 6
  11. 20
  12. 10
  13. 48
  14. 10
  15. 60
  16. 9
  17. 70
  18. 12
  19. 6
  20. 2
  21. 100
  22. 7
  23. 2
  24. 20
  25. 21
  26. 40
  27. 4
  28. 10
  29. 1
  30. 27
  31. 24
  32. 80
  33. 10
  34. 3
  35. 45
  36. 20
  37. 8
  38. 10
  39. 9
  40. 7

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