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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 88 · 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) wheel size (b) number of gears (c) motor volts (d) driver teeth
  2. 2.⚙️ A motor makes 50 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?
  3. 3.⚙️ 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?
  4. 4.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  5. 5.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  6. 6.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times slower (c) 3 times louder (d) 3 times bigger
  7. 7.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  8. 8.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  10. 10.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) small (fast, weak) (c) zero (d) big (slow and strong)
  11. 11.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  12. 12.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  13. 13.⚙️ A motor makes 50 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.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  15. 15.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  16. 16.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  17. 17.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  18. 18.⚙️ A motor makes 80 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?
  19. 19.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  20. 20.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  21. 21.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  22. 22.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  23. 23.⚙️ A motor makes 120 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?
  24. 24.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  25. 25.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  27. 27.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  28. 28.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  32. 32.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A motor makes 350 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?
  34. 34.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. 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 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  40. 40.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?

Answer key

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

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