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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 28 · 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 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  2. 2.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times faster (c) 3 times bigger (d) 3 times louder
  3. 3.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  5. 5.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  7. 7.⚙️ A motor makes 80 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?
  8. 8.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  9. 9.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) never important (d) big (slow and strong)
  12. 12.⚙️ A motor makes 60 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?
  13. 13.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) wheel size (d) driver teeth
  14. 14.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  15. 15.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  16. 16.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  17. 17.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ A motor makes 30 turns a minute with a 10-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  21. 21.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  22. 22.⚙️ A motor makes 120 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?
  23. 23.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  25. 25.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  26. 26.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  27. 27.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  29. 29.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ A motor makes 160 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?
  31. 31.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  32. 32.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  33. 33.⚙️ A motor makes 280 turns a minute with a 15-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  34. 34.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  35. 35.⚙️ A motor makes 180 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?
  36. 36.⚙️ A motor makes 200 turns a minute with a 15-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  37. 37.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 360 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.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?

Answer key

  1. 4
  2. 3 times slower
  3. 3
  4. 8
  5. 60
  6. 2
  7. 40
  8. 3
  9. 32
  10. 16
  11. big (slow and strong)
  12. 20
  13. driver teeth
  14. 45
  15. 2
  16. 21
  17. 50
  18. 4
  19. 48
  20. 10
  21. 5
  22. 60
  23. 30
  24. 20
  25. 40
  26. 20
  27. 8
  28. 4
  29. 10
  30. 40
  31. 6
  32. 40
  33. 70
  34. 40
  35. 90
  36. 50
  37. 30
  38. 5
  39. 120
  40. 5

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