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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 73 · 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 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  2. 2.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  3. 3.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  4. 4.🔢 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)
  5. 5.⚙️ A motor makes 300 turns a minute with a 20-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  6. 6.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times louder (c) 3 times bigger (d) 3 times slower
  7. 7.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  10. 10.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  11. 11.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  12. 12.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  13. 13.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  15. 15.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  16. 16.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  17. 17.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  19. 19.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) driver teeth (c) wheel size (d) motor volts
  21. 21.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  22. 22.⚙️ A 32-tooth driver gear turns an 8-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 10 times. How many times did the driver turn?
  24. 24.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  26. 26.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  27. 27.⚙️ A motor makes 180 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?
  28. 28.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  29. 29.⚙️ A motor makes 240 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  30. 30.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  32. 32.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  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.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?

Answer key

  1. 16
  2. 20
  3. 4
  4. big (slow and strong)
  5. 100
  6. 3 times slower
  7. 5
  8. 48
  9. 4
  10. 25
  11. 10
  12. 9
  13. 5
  14. 7
  15. 2
  16. 1
  17. 20
  18. 15
  19. 5
  20. driver teeth
  21. 10
  22. 36
  23. 50
  24. 40
  25. 45
  26. 4
  27. 60
  28. 8
  29. 60
  30. 5
  31. 5
  32. 4
  33. 75
  34. 16
  35. 60
  36. 2
  37. 40
  38. 4
  39. 4
  40. 4

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