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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 216 · 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.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  2. 2.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  3. 3.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  4. 4.⚙️ A motor makes 150 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?
  5. 5.⚙️ A motor makes 320 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?
  6. 6.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  8. 8.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  9. 9.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  11. 11.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  12. 12.⚙️ A motor makes 320 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?
  13. 13.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  14. 14.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  15. 15.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) never important (c) big (slow and strong) (d) zero
  16. 16.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  18. 18.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  19. 19.⚙️ A motor makes 120 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?
  20. 20.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  21. 21.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times faster (d) 3 times slower
  22. 22.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  24. 24.⚙️ A motor makes 40 turns a minute with a 10-tooth gear on it. That gear drives a 20-tooth gear. How many turns a minute does the 20-tooth gear make?
  25. 25.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  26. 26.⚙️ A motor makes 180 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?
  27. 27.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  29. 29.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  32. 32.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  33. 33.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  34. 34.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  35. 35.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  37. 37.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 1 time. 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 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?

Answer key

  1. 4
  2. 40
  3. 4
  4. 50
  5. 80
  6. 5
  7. 32
  8. 32
  9. 50
  10. 9
  11. 10
  12. 80
  13. 12
  14. 8
  15. big (slow and strong)
  16. 3
  17. 6
  18. 30
  19. 40
  20. 20
  21. 3 times slower
  22. 40
  23. 10
  24. 20
  25. 12
  26. 60
  27. 36
  28. 18
  29. 1
  30. 36
  31. 3
  32. 7
  33. driver teeth
  34. 6
  35. 20
  36. 1
  37. 24
  38. 2
  39. 4
  40. 5

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