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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 89 · 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.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  2. 2.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  3. 3.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  4. 4.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  5. 5.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) motor volts (d) wheel size
  6. 6.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  7. 7.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  8. 8.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) big (slow and strong) (c) never important (d) zero
  9. 9.⚙️ A motor makes 300 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?
  10. 10.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  11. 11.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  12. 12.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  13. 13.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  14. 14.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  15. 15.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  18. 18.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 90 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?
  22. 22.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  27. 27.⚙️ A motor makes 20 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?
  28. 28.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  30. 30.⚙️ A motor makes 220 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?
  31. 31.⚙️ A motor makes 150 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 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  35. 35.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  37. 37.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times louder (c) 3 times faster (d) 3 times bigger
  38. 38.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  40. 40.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?

Answer key

  1. 1
  2. 12
  3. 4
  4. 9
  5. driver teeth
  6. 3
  7. 20
  8. big (slow and strong)
  9. 60
  10. 2
  11. 12
  12. 5
  13. 30
  14. 20
  15. 4
  16. 80
  17. 6
  18. 36
  19. 60
  20. 10
  21. 30
  22. 75
  23. 3
  24. 3
  25. 2
  26. 2
  27. 10
  28. 40
  29. 15
  30. 110
  31. 30
  32. 6
  33. 1
  34. 6
  35. 10
  36. 3
  37. 3 times slower
  38. 2
  39. 2
  40. 24

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