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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 138 · 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.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  2. 2.🔢 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)
  3. 3.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  4. 4.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) wheel size (c) driver teeth (d) motor volts
  5. 5.⚙️ A motor makes 90 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?
  6. 6.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  7. 7.⚙️ 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?
  8. 8.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  9. 9.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ A motor makes 80 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?
  11. 11.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  12. 12.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A motor makes 480 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  14. 14.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  15. 15.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  20. 20.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  21. 21.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ A motor makes 440 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  23. 23.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  25. 25.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  26. 26.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  27. 27.⚙️ A motor makes 120 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?
  28. 28.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  29. 29.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  30. 30.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  31. 31.⚙️ A motor makes 60 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?
  32. 32.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  33. 33.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  34. 34.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  36. 36.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  37. 37.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  39. 39.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times slower (c) 3 times louder (d) 3 times faster
  40. 40.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?

Answer key

  1. 40
  2. big (slow and strong)
  3. 2
  4. driver teeth
  5. 30
  6. 5
  7. 120
  8. 8
  9. 2
  10. 20
  11. 12
  12. 5
  13. 120
  14. 6
  15. 60
  16. 10
  17. 6
  18. 16
  19. 9
  20. 5
  21. 75
  22. 110
  23. 24
  24. 2
  25. 7
  26. 1
  27. 60
  28. 45
  29. 5
  30. 8
  31. 30
  32. 24
  33. 4
  34. 2
  35. 12
  36. 30
  37. 5
  38. 20
  39. 3 times slower
  40. 2

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