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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 265 · 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 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) driver teeth (c) wheel size (d) number of gears
  3. 3.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A motor makes 40 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  6. 6.⚙️ A motor makes 150 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?
  7. 7.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  8. 8.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  9. 9.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  12. 12.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  13. 13.⚙️ A motor makes 120 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?
  14. 14.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  15. 15.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  18. 18.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  19. 19.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) zero (c) big (slow and strong) (d) small (fast, weak)
  21. 21.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  22. 22.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  23. 23.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times louder (c) 3 times bigger (d) 3 times faster
  25. 25.⚙️ A motor makes 200 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  26. 26.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  27. 27.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ 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?
  29. 29.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  32. 32.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  33. 33.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A motor makes 80 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  35. 35.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 500 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  37. 37.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  38. 38.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  39. 39.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  40. 40.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?

Answer key

  1. 20
  2. driver teeth
  3. 4
  4. 100
  5. 20
  6. 30
  7. 18
  8. 36
  9. 60
  10. 45
  11. 15
  12. 5
  13. 60
  14. 3
  15. 40
  16. 32
  17. 9
  18. 2
  19. 5
  20. big (slow and strong)
  21. 15
  22. 6
  23. 4
  24. 3 times slower
  25. 50
  26. 28
  27. 2
  28. 50
  29. 40
  30. 5
  31. 27
  32. 5
  33. 48
  34. 40
  35. 16
  36. 100
  37. 40
  38. 32
  39. 9
  40. 2

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