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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 107 · 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 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) motor volts (c) driver teeth (d) wheel size
  3. 3.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) zero (c) small (fast, weak) (d) big (slow and strong)
  4. 4.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  5. 5.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times louder (c) 3 times faster (d) 3 times bigger
  8. 8.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ A motor makes 60 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?
  10. 10.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  11. 11.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  12. 12.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  13. 13.⚙️ A motor makes 200 turns a minute with an 8-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  14. 14.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  15. 15.⚙️ A motor makes 480 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?
  16. 16.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  17. 17.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  18. 18.⚙️ 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?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  20. 20.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 40 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?
  22. 22.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  23. 23.⚙️ A motor makes 120 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?
  24. 24.⚙️ A motor makes 100 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?
  25. 25.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  27. 27.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  28. 28.⚙️ A motor makes 160 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?
  29. 29.⚙️ A motor makes 240 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?
  30. 30.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  32. 32.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  33. 33.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  34. 34.⚙️ A motor makes 440 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  35. 35.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  36. 36.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 120 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?
  40. 40.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?

Answer key

  1. 24
  2. driver teeth
  3. big (slow and strong)
  4. 18
  5. 40
  6. 5
  7. 3 times slower
  8. 20
  9. 30
  10. 4
  11. 27
  12. 5
  13. 40
  14. 30
  15. 120
  16. 10
  17. 5
  18. 70
  19. 25
  20. 9
  21. 20
  22. 7
  23. 60
  24. 50
  25. 3
  26. 6
  27. 20
  28. 80
  29. 120
  30. 5
  31. 28
  32. 75
  33. 20
  34. 110
  35. 8
  36. 15
  37. 32
  38. 1
  39. 40
  40. 9

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