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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 188 · 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.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) never important (c) big (slow and strong) (d) small (fast, weak)
  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 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  4. 4.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  5. 5.⚙️ A motor makes 150 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?
  6. 6.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  7. 7.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  9. 9.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  11. 11.⚙️ A motor makes 150 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  12. 12.⚙️ 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?
  13. 13.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  14. 14.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  15. 15.⚙️ A motor makes 200 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  16. 16.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  18. 18.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  19. 19.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  20. 20.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 30 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?
  22. 22.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  28. 28.⚙️ A motor makes 600 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?
  29. 29.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A motor makes 400 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.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  34. 34.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  35. 35.⚙️ A motor makes 500 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  36. 36.⚙️ A motor makes 50 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?
  37. 37.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  39. 39.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  40. 40.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?

Answer key

  1. big (slow and strong)
  2. 3 times slower
  3. 1
  4. driver teeth
  5. 50
  6. 20
  7. 8
  8. 20
  9. 2
  10. 2
  11. 30
  12. 80
  13. 40
  14. 4
  15. 40
  16. 3
  17. 8
  18. 10
  19. 8
  20. 5
  21. 10
  22. 24
  23. 8
  24. 4
  25. 30
  26. 45
  27. 6
  28. 120
  29. 16
  30. 40
  31. 100
  32. 20
  33. 5
  34. 20
  35. 100
  36. 10
  37. 3
  38. 5
  39. 100
  40. 9

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