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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 153 · 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 30-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  2. 2.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  3. 3.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A motor makes 210 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?
  5. 5.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  7. 7.⚙️ A motor makes 60 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?
  8. 8.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) small (fast, weak) (c) never important (d) big (slow and strong)
  9. 9.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A motor makes 210 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?
  12. 12.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  13. 13.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  14. 14.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  16. 16.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  17. 17.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  18. 18.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times slower (d) 3 times faster
  19. 19.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  21. 21.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  22. 22.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  23. 23.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  24. 24.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  25. 25.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  26. 26.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  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 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  29. 29.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  30. 30.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) driver teeth (c) number of gears (d) motor volts
  31. 31.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ A motor makes 40 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?
  33. 33.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  37. 37.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  38. 38.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  40. 40.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?

Answer key

  1. 3
  2. 8
  3. 3
  4. 70
  5. 50
  6. 10
  7. 20
  8. big (slow and strong)
  9. 30
  10. 16
  11. 70
  12. 2
  13. 8
  14. 2
  15. 8
  16. 10
  17. 3
  18. 3 times slower
  19. 12
  20. 9
  21. 9
  22. 45
  23. 35
  24. 5
  25. 5
  26. 5
  27. 40
  28. 8
  29. 24
  30. driver teeth
  31. 2
  32. 20
  33. 24
  34. 24
  35. 40
  36. 3
  37. 5
  38. 5
  39. 14
  40. 5

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