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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 41 · 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 motor makes 300 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?
  2. 2.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  3. 3.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  4. 4.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  5. 5.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ A 12-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 must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  8. 8.🔢 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
  9. 9.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) driver teeth (d) wheel size
  10. 10.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  12. 12.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  13. 13.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  14. 14.⚙️ A motor makes 80 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?
  15. 15.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  16. 16.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ A motor makes 120 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?
  18. 18.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  21. 21.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) zero (c) never important (d) small (fast, weak)
  23. 23.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  25. 25.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  27. 27.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  28. 28.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  29. 29.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  30. 30.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  31. 31.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  32. 32.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  33. 33.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  35. 35.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  36. 36.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ A motor makes 140 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?
  38. 38.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 50 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?
  40. 40.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?

Answer key

  1. 60
  2. 6
  3. 15
  4. 10
  5. 5
  6. 48
  7. 16
  8. 3 times slower
  9. driver teeth
  10. 36
  11. 6
  12. 18
  13. 8
  14. 20
  15. 6
  16. 24
  17. 40
  18. 4
  19. 12
  20. 8
  21. 4
  22. big (slow and strong)
  23. 9
  24. 2
  25. 40
  26. 2
  27. 16
  28. 1
  29. 8
  30. 20
  31. 14
  32. 24
  33. 1
  34. 3
  35. 5
  36. 4
  37. 70
  38. 16
  39. 10
  40. 24

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