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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 195 · 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 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  2. 2.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times bigger (c) 3 times louder (d) 3 times slower
  3. 3.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  6. 6.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  7. 7.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) driver teeth (d) wheel size
  8. 8.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ 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?
  10. 10.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  11. 11.⚙️ A motor makes 220 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  12. 12.⚙️ A motor makes 400 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?
  13. 13.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) small (fast, weak) (c) zero (d) big (slow and strong)
  15. 15.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  16. 16.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  20. 20.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  21. 21.⚙️ 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?
  22. 22.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  23. 23.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  27. 27.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  28. 28.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  29. 29.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A motor makes 550 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?
  32. 32.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  34. 34.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  38. 38.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A motor makes 50 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?
  40. 40.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?

Answer key

  1. 12
  2. 3 times slower
  3. 4
  4. 2
  5. 3
  6. 25
  7. driver teeth
  8. 80
  9. 20
  10. 18
  11. 110
  12. 80
  13. 5
  14. big (slow and strong)
  15. 5
  16. 60
  17. 24
  18. 45
  19. 35
  20. 45
  21. 110
  22. 9
  23. 9
  24. 30
  25. 5
  26. 10
  27. 40
  28. 6
  29. 3
  30. 40
  31. 110
  32. 4
  33. 6
  34. 30
  35. 9
  36. 2
  37. 18
  38. 20
  39. 10
  40. 9

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