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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 264 · 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 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  2. 2.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) big (slow and strong) (c) zero (d) small (fast, weak)
  3. 3.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times bigger (c) 3 times slower (d) 3 times louder
  4. 4.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  5. 5.⚙️ A motor makes 120 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?
  6. 6.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  7. 7.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  8. 8.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  9. 9.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  10. 10.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  12. 12.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  13. 13.⚙️ A motor makes 20 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?
  14. 14.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  15. 15.⚙️ A motor makes 100 turns a minute with an 8-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  16. 16.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 210 turns a minute with a 10-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  18. 18.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  19. 19.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  20. 20.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  21. 21.⚙️ A motor makes 220 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?
  22. 22.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A motor makes 220 turns a minute with a 20-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  27. 27.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  30. 30.⚙️ A motor makes 550 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?
  31. 31.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  32. 32.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ 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?
  34. 34.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  36. 36.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  37. 37.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  38. 38.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  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 driver gear turns a 30-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?

Answer key

  1. 3
  2. big (slow and strong)
  3. 3 times slower
  4. 18
  5. 30
  6. 24
  7. 5
  8. driver teeth
  9. 4
  10. 40
  11. 12
  12. 36
  13. 10
  14. 40
  15. 20
  16. 40
  17. 70
  18. 4
  19. 8
  20. 21
  21. 110
  22. 100
  23. 2
  24. 5
  25. 60
  26. 110
  27. 30
  28. 48
  29. 8
  30. 110
  31. 15
  32. 3
  33. 60
  34. 3
  35. 10
  36. 10
  37. 1
  38. 5
  39. 4
  40. 3

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