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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 84 · 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.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) driver teeth (c) wheel size (d) motor volts
  2. 2.🔢 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
  3. 3.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  4. 4.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  6. 6.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  8. 8.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  9. 9.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  10. 10.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  11. 11.⚙️ A motor makes 60 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 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  13. 13.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  14. 14.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  15. 15.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  17. 17.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) big (slow and strong) (d) never important
  18. 18.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A motor makes 20 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?
  21. 21.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  22. 22.⚙️ A motor makes 90 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?
  23. 23.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  24. 24.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  25. 25.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  27. 27.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  28. 28.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  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 driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A 50-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 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A motor makes 90 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?
  36. 36.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  39. 39.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  40. 40.⚙️ 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?

Answer key

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

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