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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 262 · 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 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  2. 2.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  3. 3.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  4. 4.🔢 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)
  5. 5.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times louder (c) 3 times bigger (d) 3 times slower
  6. 6.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  8. 8.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  9. 9.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  10. 10.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  11. 11.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  12. 12.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  13. 13.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  14. 14.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  15. 15.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  16. 16.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  18. 18.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  20. 20.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  22. 22.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  24. 24.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  27. 27.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  30. 30.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  32. 32.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  33. 33.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  36. 36.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  37. 37.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  39. 39.⚙️ 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?
  40. 40.⚙️ A motor makes 100 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?

Answer key

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

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