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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 23 · 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 gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times bigger (c) 3 times faster (d) 3 times louder
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  3. 3.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ 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?
  5. 5.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  6. 6.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  7. 7.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  10. 10.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  11. 11.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  12. 12.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  15. 15.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  16. 16.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 30 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 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  19. 19.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  20. 20.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  21. 21.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 16 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 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  27. 27.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  30. 30.⚙️ A 10-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 motor makes 200 turns a minute with a 10-tooth gear on it. That gear drives a 20-tooth gear. How many turns a minute does the 20-tooth gear make?
  32. 32.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  33. 33.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  34. 34.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  35. 35.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  40. 40.⚙️ A motor makes 60 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?

Answer key

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

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