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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 246 · 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 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  2. 2.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  3. 3.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) number of gears (c) driver teeth (d) wheel size
  4. 4.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  5. 5.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  6. 6.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  8. 8.⚙️ A motor makes 240 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?
  9. 9.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  10. 10.⚙️ A motor makes 300 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?
  11. 11.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times faster (d) 3 times slower
  12. 12.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  13. 13.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  14. 14.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  15. 15.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  16. 16.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  17. 17.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  18. 18.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 10 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.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  23. 23.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  25. 25.⚙️ A motor makes 20 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?
  26. 26.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  27. 27.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  28. 28.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) zero (c) never important (d) small (fast, weak)
  29. 29.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  30. 30.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  31. 31.⚙️ A motor makes 120 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  32. 32.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  33. 33.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A motor makes 150 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?
  36. 36.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  37. 37.⚙️ A motor makes 220 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?
  38. 38.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  39. 39.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  40. 40.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?

Answer key

  1. 3
  2. 10
  3. driver teeth
  4. 3
  5. 18
  6. 60
  7. 4
  8. 80
  9. 5
  10. 60
  11. 3 times slower
  12. 40
  13. 3
  14. 40
  15. 2
  16. 15
  17. 21
  18. 2
  19. 5
  20. 5
  21. 2
  22. 30
  23. 5
  24. 12
  25. 10
  26. 9
  27. 9
  28. big (slow and strong)
  29. 8
  30. 8
  31. 30
  32. 10
  33. 16
  34. 2
  35. 50
  36. 16
  37. 110
  38. 12
  39. 14
  40. 36

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