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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 106 · 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 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  2. 2.🔢 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
  3. 3.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  5. 5.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  6. 6.⚙️ A 15-tooth driver gear turns a 75-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 5 times slower. How many teeth must the driven gear have?
  8. 8.⚙️ A motor makes 200 turns a minute with a 20-tooth gear on it. That gear drives a 100-tooth gear. How many turns a minute does the 100-tooth gear make?
  9. 9.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) big (slow and strong) (c) never important (d) small (fast, weak)
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  11. 11.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) driver teeth (c) motor volts (d) wheel size
  12. 12.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  14. 14.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  16. 16.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  18. 18.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  21. 21.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  22. 22.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  23. 23.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  24. 24.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A motor makes 20 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?
  26. 26.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  29. 29.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  30. 30.⚙️ A motor makes 150 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?
  31. 31.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  32. 32.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  36. 36.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  37. 37.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  39. 39.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?

Answer key

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

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