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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 175 · 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 20 turns a minute with a 20-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 motor makes 40 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?
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.🔢 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
  5. 5.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) big (slow and strong) (c) zero (d) small (fast, weak)
  6. 6.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  9. 9.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  10. 10.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  11. 11.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  12. 12.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  13. 13.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  14. 14.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  15. 15.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  16. 16.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 32 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 7 times. How many times does the driven gear turn?
  18. 18.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  19. 19.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  20. 20.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  22. 22.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  23. 23.⚙️ A motor makes 20 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?
  24. 24.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  26. 26.⚙️ A motor makes 210 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?
  27. 27.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 320 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?
  30. 30.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  31. 31.⚙️ A motor makes 360 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?
  32. 32.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  34. 34.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  36. 36.⚙️ 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?
  37. 37.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  38. 38.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  39. 39.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  40. 40.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?

Answer key

  1. 10
  2. 10
  3. 24
  4. 3 times slower
  5. big (slow and strong)
  6. 24
  7. 6
  8. 6
  9. 12
  10. 16
  11. 6
  12. 8
  13. 5
  14. 30
  15. 10
  16. 8
  17. 14
  18. driver teeth
  19. 4
  20. 2
  21. 10
  22. 4
  23. 10
  24. 4
  25. 20
  26. 70
  27. 2
  28. 9
  29. 80
  30. 32
  31. 90
  32. 3
  33. 2
  34. 5
  35. 12
  36. 60
  37. 2
  38. 3
  39. 27
  40. 27

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