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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 151 · 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 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  2. 2.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  3. 3.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  4. 4.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  6. 6.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  10. 10.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) wheel size (d) motor volts
  11. 11.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  12. 12.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  14. 14.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) big (slow and strong) (d) never important
  15. 15.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  16. 16.⚙️ A motor makes 210 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  17. 17.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times louder (c) 3 times bigger (d) 3 times faster
  18. 18.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  19. 19.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  21. 21.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  22. 22.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ A motor makes 450 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?
  24. 24.⚙️ 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?
  25. 25.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  26. 26.⚙️ A motor makes 180 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?
  27. 27.⚙️ A motor makes 180 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.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 210 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?
  33. 33.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  35. 35.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  37. 37.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  38. 38.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  40. 40.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?

Answer key

  1. 3
  2. 3
  3. 10
  4. 24
  5. 4
  6. 3
  7. 6
  8. 5
  9. 20
  10. driver teeth
  11. 10
  12. 3
  13. 14
  14. big (slow and strong)
  15. 4
  16. 70
  17. 3 times slower
  18. 45
  19. 48
  20. 32
  21. 27
  22. 4
  23. 90
  24. 40
  25. 8
  26. 90
  27. 90
  28. 16
  29. 1
  30. 4
  31. 20
  32. 70
  33. 4
  34. 18
  35. 50
  36. 12
  37. 1
  38. 2
  39. 50
  40. 2

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