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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 215 · 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 gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times slower (d) 3 times bigger
  2. 2.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  3. 3.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  5. 5.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  6. 6.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  7. 7.⚙️ A 20-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) never important (b) zero (c) big (slow and strong) (d) small (fast, weak)
  9. 9.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  10. 10.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) motor volts (c) wheel size (d) driver teeth
  11. 11.⚙️ 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?
  12. 12.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  13. 13.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  15. 15.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  16. 16.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  19. 19.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  20. 20.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  21. 21.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  22. 22.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A motor makes 360 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?
  24. 24.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  25. 25.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  27. 27.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  28. 28.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  29. 29.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  30. 30.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  32. 32.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  35. 35.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  36. 36.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  37. 37.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  38. 38.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  39. 39.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  40. 40.⚙️ A 24-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 times slower
  2. 8
  3. 2
  4. 10
  5. 7
  6. 30
  7. 40
  8. big (slow and strong)
  9. 6
  10. driver teeth
  11. 60
  12. 16
  13. 4
  14. 9
  15. 50
  16. 35
  17. 60
  18. 10
  19. 9
  20. 3
  21. 3
  22. 80
  23. 120
  24. 12
  25. 4
  26. 5
  27. 6
  28. 24
  29. 4
  30. 2
  31. 5
  32. 2
  33. 75
  34. 10
  35. 32
  36. 30
  37. 35
  38. 7
  39. 60
  40. 2

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