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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 189 · 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 motor makes 100 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?
  2. 2.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  3. 3.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  4. 4.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  5. 5.⚙️ A motor makes 60 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?
  6. 6.⚙️ A motor makes 360 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?
  7. 7.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  9. 9.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  12. 12.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  13. 13.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  15. 15.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times slower (c) 3 times bigger (d) 3 times louder
  16. 16.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) big (slow and strong) (c) zero (d) never important
  17. 17.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth driver gear turns a 40-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 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  21. 21.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  22. 22.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  23. 23.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A motor makes 80 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?
  26. 26.⚙️ A motor makes 160 turns a minute with a 10-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 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  28. 28.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  29. 29.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  30. 30.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  31. 31.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  32. 32.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  33. 33.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  34. 34.⚙️ A motor makes 240 turns a minute with a 10-tooth gear on it. That gear drives a 20-tooth gear. How many turns a minute does the 20-tooth gear make?
  35. 35.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  36. 36.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  37. 37.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ A motor makes 400 turns a minute with an 8-tooth gear on it. That gear drives a 32-tooth gear. How many turns a minute does the 32-tooth gear make?
  39. 39.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  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. 50
  2. 16
  3. 6
  4. 2
  5. 30
  6. 120
  7. 2
  8. 28
  9. 12
  10. 40
  11. 2
  12. 48
  13. 20
  14. 80
  15. 3 times slower
  16. big (slow and strong)
  17. 6
  18. 2
  19. 5
  20. 6
  21. driver teeth
  22. 50
  23. 4
  24. 3
  25. 40
  26. 40
  27. 20
  28. 2
  29. 2
  30. 8
  31. 40
  32. 14
  33. 4
  34. 120
  35. 15
  36. 12
  37. 45
  38. 100
  39. 4
  40. 27

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