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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 29 · 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 driver turns 3 times. How many times does the driven gear turn?
  2. 2.⚙️ A motor makes 90 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  5. 5.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  6. 6.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  7. 7.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  8. 8.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  9. 9.⚙️ A motor makes 350 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?
  10. 10.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) wheel size (c) motor volts (d) driver teeth
  11. 11.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  12. 12.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  13. 13.🔢 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
  14. 14.⚙️ A motor makes 220 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?
  15. 15.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  16. 16.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  17. 17.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) small (fast, weak) (c) zero (d) never important
  18. 18.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  20. 20.⚙️ A motor makes 40 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  21. 21.⚙️ A motor makes 60 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?
  22. 22.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  24. 24.⚙️ 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?
  25. 25.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ 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?
  27. 27.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  29. 29.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  30. 30.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  31. 31.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  32. 32.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  33. 33.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  34. 34.⚙️ A motor makes 160 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  35. 35.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  36. 36.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  37. 37.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  39. 39.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  40. 40.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?

Answer key

  1. 1
  2. 30
  3. 16
  4. 6
  5. 12
  6. 12
  7. 4
  8. 12
  9. 70
  10. driver teeth
  11. 10
  12. 30
  13. 3 times slower
  14. 110
  15. 9
  16. 7
  17. big (slow and strong)
  18. 4
  19. 9
  20. 10
  21. 30
  22. 5
  23. 4
  24. 10
  25. 5
  26. 40
  27. 40
  28. 12
  29. 2
  30. 18
  31. 45
  32. 36
  33. 2
  34. 40
  35. 3
  36. 20
  37. 18
  38. 4
  39. 2
  40. 2

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