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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 182 · 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 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  2. 2.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  3. 3.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  4. 4.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  7. 7.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  9. 9.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  10. 10.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  12. 12.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  13. 13.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) wheel size (c) motor volts (d) driver teeth
  14. 14.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 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 2 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  18. 18.⚙️ A motor makes 250 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?
  19. 19.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  20. 20.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  21. 21.⚙️ A motor makes 600 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  22. 22.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  24. 24.🔢 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)
  25. 25.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  26. 26.⚙️ A motor makes 360 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?
  27. 27.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  28. 28.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A motor makes 480 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?
  30. 30.⚙️ A motor makes 180 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  31. 31.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  32. 32.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  33. 33.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  34. 34.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  36. 36.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  37. 37.⚙️ A motor makes 200 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?
  38. 38.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  40. 40.⚙️ 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?

Answer key

  1. 60
  2. 3
  3. 15
  4. 40
  5. 3
  6. 4
  7. 3
  8. 9
  9. 30
  10. 75
  11. 2
  12. 10
  13. driver teeth
  14. 4
  15. 25
  16. 6
  17. 3
  18. 50
  19. 2
  20. 16
  21. 120
  22. 48
  23. 3
  24. big (slow and strong)
  25. 24
  26. 120
  27. 21
  28. 40
  29. 120
  30. 60
  31. 5
  32. 7
  33. 4
  34. 100
  35. 6
  36. 36
  37. 40
  38. 5
  39. 5
  40. 120

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