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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 80 · 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) never important (b) zero (c) big (slow and strong) (d) small (fast, weak)
  2. 2.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  3. 3.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times slower (c) 3 times bigger (d) 3 times louder
  5. 5.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  6. 6.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  7. 7.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  8. 8.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) driver teeth (c) number of gears (d) motor volts
  9. 9.⚙️ A motor makes 180 turns a minute with a 12-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  10. 10.⚙️ A motor makes 210 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?
  11. 11.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  12. 12.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  14. 14.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  15. 15.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  17. 17.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  18. 18.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  20. 20.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  21. 21.⚙️ A motor makes 160 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?
  22. 22.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  23. 23.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  24. 24.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  25. 25.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  29. 29.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  30. 30.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  31. 31.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  32. 32.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  33. 33.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  34. 34.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  35. 35.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  37. 37.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  39. 39.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  40. 40.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?

Answer key

  1. big (slow and strong)
  2. 6
  3. 36
  4. 3 times slower
  5. 30
  6. 4
  7. 30
  8. driver teeth
  9. 90
  10. 70
  11. 18
  12. 3
  13. 6
  14. 40
  15. 48
  16. 3
  17. 5
  18. 50
  19. 1
  20. 40
  21. 40
  22. 40
  23. 9
  24. 1
  25. 25
  26. 3
  27. 9
  28. 6
  29. 18
  30. 7
  31. 20
  32. 40
  33. 45
  34. 24
  35. 24
  36. 16
  37. 3
  38. 15
  39. 4
  40. 3

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