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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 1 · 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) zero (d) big (slow and strong)
  2. 2.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  3. 3.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) driver teeth (d) motor volts
  4. 4.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  5. 5.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  6. 6.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  7. 7.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  9. 9.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  10. 10.⚙️ A 10-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 driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  12. 12.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  13. 13.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  14. 14.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times bigger (c) 3 times louder (d) 3 times faster
  16. 16.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A motor makes 210 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?
  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.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 360 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?
  22. 22.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  23. 23.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ 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?
  25. 25.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  27. 27.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  29. 29.⚙️ A motor makes 90 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?
  30. 30.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  31. 31.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  32. 32.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  33. 33.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  34. 34.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  35. 35.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  36. 36.⚙️ 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?
  37. 37.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 60 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?
  40. 40.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?

Answer key

  1. big (slow and strong)
  2. 3
  3. driver teeth
  4. 4
  5. 4
  6. 4
  7. 5
  8. 32
  9. 16
  10. 3
  11. 2
  12. 40
  13. 20
  14. 5
  15. 3 times slower
  16. 2
  17. 70
  18. 5
  19. 40
  20. 9
  21. 90
  22. 20
  23. 24
  24. 100
  25. 4
  26. 15
  27. 10
  28. 6
  29. 30
  30. 20
  31. 21
  32. 12
  33. 4
  34. 32
  35. 16
  36. 120
  37. 5
  38. 2
  39. 20
  40. 30

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