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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 26 · 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 motor makes 300 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?
  2. 2.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  3. 3.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  4. 4.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  5. 5.⚙️ A motor makes 50 turns a minute with a 20-tooth gear on it. That gear drives a 100-tooth gear. How many turns a minute does the 100-tooth gear make?
  6. 6.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  7. 7.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  9. 9.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  10. 10.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  11. 11.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  12. 12.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  13. 13.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A motor makes 150 turns a minute with a 20-tooth gear on it. That gear drives a 100-tooth gear. How many turns a minute does the 100-tooth gear make?
  15. 15.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  16. 16.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  17. 17.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  18. 18.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  19. 19.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) wheel size (c) motor volts (d) driver teeth
  20. 20.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  21. 21.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times slower (d) 3 times bigger
  22. 22.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) big (slow and strong) (c) never important (d) small (fast, weak)
  23. 23.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  29. 29.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  30. 30.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 250 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  33. 33.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  34. 34.⚙️ A motor makes 150 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?
  35. 35.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  36. 36.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  37. 37.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  38. 38.⚙️ A 60-tooth driver gear turns a 20-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 45-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  40. 40.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?

Answer key

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

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