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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 21 · 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 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  2. 2.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  3. 3.⚙️ A motor makes 60 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?
  4. 4.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  5. 5.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) driver teeth (d) motor volts
  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 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  8. 8.⚙️ A motor makes 240 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?
  9. 9.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  10. 10.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  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 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  13. 13.⚙️ A motor makes 240 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?
  14. 14.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  15. 15.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  16. 16.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  17. 17.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  18. 18.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  20. 20.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  22. 22.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  24. 24.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  26. 26.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  27. 27.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  28. 28.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) big (slow and strong) (c) zero (d) never important
  29. 29.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  30. 30.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  33. 33.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  35. 35.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  36. 36.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  37. 37.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  38. 38.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times louder (c) 3 times bigger (d) 3 times slower
  39. 39.⚙️ A motor makes 350 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  40. 40.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?

Answer key

  1. 6
  2. 9
  3. 20
  4. 2
  5. driver teeth
  6. 24
  7. 9
  8. 60
  9. 5
  10. 2
  11. 60
  12. 2
  13. 120
  14. 12
  15. 50
  16. 25
  17. 6
  18. 2
  19. 24
  20. 12
  21. 2
  22. 20
  23. 7
  24. 5
  25. 36
  26. 9
  27. 10
  28. big (slow and strong)
  29. 2
  30. 2
  31. 2
  32. 6
  33. 5
  34. 9
  35. 25
  36. 50
  37. 6
  38. 3 times slower
  39. 70
  40. 16

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