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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 193 · 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 300 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?
  2. 2.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times faster (d) 3 times slower
  6. 6.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  7. 7.⚙️ A motor makes 30 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?
  8. 8.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  9. 9.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) never important (c) zero (d) small (fast, weak)
  11. 11.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  12. 12.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  13. 13.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  14. 14.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  15. 15.⚙️ 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?
  16. 16.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 120 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?
  18. 18.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  19. 19.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ 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?
  21. 21.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  26. 26.⚙️ A motor makes 30 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  27. 27.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  28. 28.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  29. 29.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  30. 30.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  32. 32.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  33. 33.⚙️ A motor makes 30 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?
  34. 34.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  35. 35.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  36. 36.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  37. 37.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  40. 40.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?

Answer key

  1. 60
  2. 45
  3. 32
  4. 3
  5. 3 times slower
  6. 7
  7. 10
  8. 12
  9. 4
  10. big (slow and strong)
  11. 8
  12. 30
  13. 35
  14. 50
  15. 100
  16. 4
  17. 60
  18. 4
  19. 50
  20. 40
  21. 30
  22. 4
  23. 28
  24. 40
  25. 45
  26. 10
  27. 12
  28. 16
  29. 7
  30. 4
  31. 7
  32. 20
  33. 10
  34. 1
  35. 5
  36. 1
  37. 36
  38. 4
  39. 15
  40. 45

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