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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 101 · 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 gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times slower (d) 3 times faster
  2. 2.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  3. 3.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ A motor makes 400 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?
  5. 5.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  9. 9.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) never important (c) small (fast, weak) (d) zero
  10. 10.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  13. 13.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  14. 14.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  15. 15.⚙️ A motor makes 60 turns a minute with a 20-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  16. 16.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  17. 17.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  20. 20.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  21. 21.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  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.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  25. 25.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  26. 26.⚙️ A motor makes 300 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?
  27. 27.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  29. 29.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) wheel size (d) motor volts
  32. 32.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  33. 33.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  36. 36.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  37. 37.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  39. 39.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  40. 40.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?

Answer key

  1. 3 times slower
  2. 8
  3. 30
  4. 100
  5. 80
  6. 5
  7. 10
  8. 10
  9. big (slow and strong)
  10. 20
  11. 5
  12. 30
  13. 6
  14. 24
  15. 20
  16. 16
  17. 40
  18. 2
  19. 30
  20. 3
  21. 2
  22. 1
  23. 3
  24. 2
  25. 12
  26. 60
  27. 5
  28. 35
  29. 25
  30. 2
  31. driver teeth
  32. 20
  33. 2
  34. 60
  35. 6
  36. 3
  37. 48
  38. 25
  39. 3
  40. 2

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