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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 30 · 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 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  2. 2.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  3. 3.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  6. 6.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  8. 8.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  9. 9.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  10. 10.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  11. 11.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  12. 12.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  13. 13.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  15. 15.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) big (slow and strong) (c) zero (d) never important
  16. 16.🔢 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
  17. 17.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  18. 18.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  19. 19.⚙️ 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?
  20. 20.⚙️ A motor makes 280 turns a minute with an 8-tooth gear on it. That gear drives a 32-tooth gear. How many turns a minute does the 32-tooth gear make?
  21. 21.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  22. 22.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  24. 24.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A motor makes 480 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?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  27. 27.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  28. 28.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  29. 29.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  31. 31.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  32. 32.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  33. 33.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 27 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 40 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 400 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?
  37. 37.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  40. 40.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?

Answer key

  1. 21
  2. 60
  3. 45
  4. 4
  5. driver teeth
  6. 30
  7. 20
  8. 5
  9. 3
  10. 6
  11. 20
  12. 10
  13. 4
  14. 4
  15. big (slow and strong)
  16. 3 times slower
  17. 5
  18. 4
  19. 20
  20. 70
  21. 1
  22. 12
  23. 12
  24. 4
  25. 120
  26. 6
  27. 6
  28. 18
  29. 100
  30. 27
  31. 27
  32. 2
  33. 30
  34. 9
  35. 10
  36. 80
  37. 3
  38. 5
  39. 18
  40. 10

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