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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 51 · 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 must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  2. 2.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times bigger (c) 3 times slower (d) 3 times faster
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 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 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?
  7. 7.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  10. 10.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) never important (c) zero (d) big (slow and strong)
  11. 11.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  12. 12.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  13. 13.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A motor makes 140 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?
  15. 15.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A motor makes 500 turns a minute with a 15-tooth gear on it. That gear drives a 75-tooth gear. How many turns a minute does the 75-tooth gear make?
  17. 17.⚙️ A motor makes 180 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?
  18. 18.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  20. 20.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  22. 22.⚙️ A motor makes 440 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?
  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 24-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  25. 25.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  26. 26.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  29. 29.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  32. 32.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  33. 33.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  34. 34.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  35. 35.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  36. 36.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  37. 37.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  38. 38.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  39. 39.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  40. 40.⚙️ A motor makes 200 turns a minute with a 20-tooth gear on it. That gear drives a 100-tooth gear. How many turns a minute does the 100-tooth gear make?

Answer key

  1. 40
  2. 3 times slower
  3. 40
  4. 1
  5. 5
  6. 70
  7. 4
  8. 3
  9. 8
  10. big (slow and strong)
  11. 32
  12. 9
  13. 16
  14. 70
  15. 2
  16. 100
  17. 90
  18. 50
  19. 20
  20. 5
  21. 6
  22. 110
  23. 40
  24. 3
  25. 7
  26. 48
  27. 4
  28. 2
  29. 60
  30. 25
  31. 6
  32. 4
  33. 10
  34. 7
  35. 3
  36. 2
  37. 10
  38. 2
  39. 6
  40. 40

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