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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 109 · 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 gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times faster (d) 3 times slower
  2. 2.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  3. 3.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  4. 4.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  6. 6.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) driver teeth (d) motor volts
  7. 7.⚙️ A motor makes 270 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?
  8. 8.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  9. 9.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) never important (c) big (slow and strong) (d) zero
  10. 10.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  12. 12.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A motor makes 40 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?
  15. 15.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  16. 16.⚙️ A motor makes 320 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?
  17. 17.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ 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?
  20. 20.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  22. 22.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear turns a 75-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 20-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  27. 27.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ A motor makes 300 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?
  30. 30.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  32. 32.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  34. 34.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 30 turns a minute with a 15-tooth gear on it. That gear drives a 45-tooth gear. How many turns a minute does the 45-tooth gear make?
  37. 37.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  38. 38.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  40. 40.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?

Answer key

  1. 3 times slower
  2. 2
  3. 9
  4. 36
  5. 4
  6. driver teeth
  7. 90
  8. 8
  9. big (slow and strong)
  10. 30
  11. 60
  12. 2
  13. 24
  14. 10
  15. 18
  16. 80
  17. 30
  18. 24
  19. 80
  20. 18
  21. 5
  22. 2
  23. 8
  24. 6
  25. 2
  26. 7
  27. 4
  28. 5
  29. 60
  30. 3
  31. 12
  32. 30
  33. 4
  34. 27
  35. 9
  36. 10
  37. 6
  38. 45
  39. 4
  40. 6

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