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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 274 · 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 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  2. 2.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  3. 3.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) driver teeth (d) motor volts
  4. 4.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  5. 5.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  8. 8.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  9. 9.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  10. 10.⚙️ A motor makes 180 turns a minute with a 20-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  11. 11.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  12. 12.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times louder (c) 3 times slower (d) 3 times bigger
  14. 14.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.🔢 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
  16. 16.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  18. 18.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  22. 22.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  23. 23.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  24. 24.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 15 times. How many times does the driven gear 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 motor makes 250 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?
  27. 27.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  29. 29.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  31. 31.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 200 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?
  33. 33.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  34. 34.⚙️ A motor makes 360 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?
  35. 35.⚙️ A motor makes 160 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  36. 36.⚙️ A motor makes 200 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?
  37. 37.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  38. 38.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  39. 39.⚙️ 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?
  40. 40.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?

Answer key

  1. 5
  2. 18
  3. driver teeth
  4. 16
  5. 5
  6. 2
  7. 60
  8. 5
  9. 3
  10. 60
  11. 10
  12. 3
  13. 3 times slower
  14. 5
  15. big (slow and strong)
  16. 60
  17. 9
  18. 24
  19. 4
  20. 3
  21. 2
  22. 10
  23. 20
  24. 3
  25. 45
  26. 50
  27. 4
  28. 5
  29. 16
  30. 2
  31. 7
  32. 100
  33. 50
  34. 120
  35. 40
  36. 100
  37. 24
  38. 10
  39. 80
  40. 40

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