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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 231 · 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 60-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  2. 2.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  3. 3.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  4. 4.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  5. 5.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  8. 8.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.🔢 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
  10. 10.⚙️ A motor makes 160 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?
  11. 11.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) never important (c) zero (d) big (slow and strong)
  13. 13.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  14. 14.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  15. 15.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  16. 16.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  18. 18.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  20. 20.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 200 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?
  22. 22.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) driver teeth (c) wheel size (d) number of gears
  23. 23.⚙️ A motor makes 100 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?
  24. 24.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A motor makes 330 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?
  26. 26.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  29. 29.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  31. 31.⚙️ A motor makes 480 turns a minute with a 15-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  32. 32.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  34. 34.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  37. 37.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  38. 38.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A motor makes 360 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?

Answer key

  1. 9
  2. 35
  3. 7
  4. 36
  5. 40
  6. 2
  7. 40
  8. 3
  9. 3 times slower
  10. 40
  11. 2
  12. big (slow and strong)
  13. 2
  14. 50
  15. 4
  16. 20
  17. 14
  18. 9
  19. 6
  20. 5
  21. 100
  22. driver teeth
  23. 20
  24. 4
  25. 110
  26. 6
  27. 9
  28. 9
  29. 3
  30. 9
  31. 120
  32. 2
  33. 1
  34. 60
  35. 48
  36. 24
  37. 2
  38. 100
  39. 4
  40. 120

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