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Robotics Worksheet: Gear Ratio for Kids

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

Answer key

  1. big (slow and strong)
  2. 16
  3. driver teeth
  4. 4
  5. 2
  6. 3 times slower
  7. 10
  8. 7
  9. 30
  10. 30
  11. 3
  12. 5
  13. 24
  14. 2
  15. 4
  16. 4
  17. 45
  18. 5
  19. 10
  20. 12
  21. 40
  22. 1
  23. 5
  24. 15
  25. 10
  26. 10
  27. 20
  28. 36
  29. 30
  30. 12
  31. 8
  32. 60
  33. 20
  34. 3
  35. 4
  36. 8
  37. 24
  38. 50
  39. 48
  40. 2

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