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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 97 · 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 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) wheel size (d) motor volts
  3. 3.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  4. 4.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.🔢 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
  6. 6.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  7. 7.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  9. 9.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  14. 14.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  15. 15.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) big (slow and strong) (c) small (fast, weak) (d) zero
  16. 16.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  18. 18.⚙️ A motor makes 200 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?
  19. 19.⚙️ A motor makes 30 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?
  20. 20.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  21. 21.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  22. 22.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  23. 23.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  24. 24.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  26. 26.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  27. 27.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  28. 28.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  29. 29.⚙️ A motor makes 480 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?
  30. 30.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  32. 32.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  33. 33.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  34. 34.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  37. 37.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A motor makes 50 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  40. 40.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?

Answer key

  1. 40
  2. driver teeth
  3. 14
  4. 3
  5. 3 times slower
  6. 5
  7. 4
  8. 9
  9. 20
  10. 16
  11. 3
  12. 5
  13. 9
  14. 32
  15. big (slow and strong)
  16. 9
  17. 16
  18. 50
  19. 10
  20. 10
  21. 5
  22. 16
  23. 3
  24. 40
  25. 50
  26. 6
  27. 25
  28. 16
  29. 120
  30. 3
  31. 3
  32. 18
  33. 30
  34. 3
  35. 60
  36. 20
  37. 3
  38. 30
  39. 10
  40. 45

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