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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 202 · 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.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) big (slow and strong) (c) small (fast, weak) (d) zero
  2. 2.⚙️ A motor makes 180 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?
  3. 3.⚙️ A motor makes 330 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?
  4. 4.⚙️ A motor makes 60 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?
  5. 5.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  6. 6.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  7. 7.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  12. 12.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  13. 13.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  14. 14.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times slower (c) 3 times louder (d) 3 times faster
  15. 15.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  16. 16.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  17. 17.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) driver teeth (d) wheel size
  18. 18.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  22. 22.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  23. 23.⚙️ A motor makes 160 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?
  24. 24.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A motor makes 550 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?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  28. 28.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 300 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?
  30. 30.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  31. 31.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 40 turns a minute with an 8-tooth gear on it. That gear drives a 32-tooth gear. How many turns a minute does the 32-tooth gear make?
  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 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  36. 36.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  37. 37.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  39. 39.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  40. 40.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?

Answer key

  1. big (slow and strong)
  2. 60
  3. 110
  4. 30
  5. 9
  6. 6
  7. 6
  8. 2
  9. 3
  10. 40
  11. 60
  12. 50
  13. 6
  14. 3 times slower
  15. 5
  16. 10
  17. driver teeth
  18. 4
  19. 4
  20. 5
  21. 40
  22. 36
  23. 80
  24. 3
  25. 110
  26. 8
  27. 40
  28. 9
  29. 100
  30. 9
  31. 2
  32. 10
  33. 4
  34. 20
  35. 6
  36. 8
  37. 30
  38. 10
  39. 16
  40. 6

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