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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 67 · 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 gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) motor volts (c) number of gears (d) driver teeth
  3. 3.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  5. 5.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times faster (c) 3 times bigger (d) 3 times louder
  6. 6.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  7. 7.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  9. 9.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  10. 10.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  11. 11.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  12. 12.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  14. 14.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  15. 15.⚙️ A motor makes 600 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  16. 16.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  18. 18.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  19. 19.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) never important (c) small (fast, weak) (d) big (slow and strong)
  21. 21.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  23. 23.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  24. 24.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  25. 25.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  26. 26.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  27. 27.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  28. 28.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 210 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?
  30. 30.⚙️ A motor makes 200 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?
  31. 31.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  35. 35.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  36. 36.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  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 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  40. 40.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?

Answer key

  1. 5
  2. driver teeth
  3. 4
  4. 30
  5. 3 times slower
  6. 30
  7. 5
  8. 16
  9. 20
  10. 24
  11. 3
  12. 5
  13. 2
  14. 10
  15. 120
  16. 4
  17. 9
  18. 32
  19. 4
  20. big (slow and strong)
  21. 3
  22. 20
  23. 30
  24. 16
  25. 36
  26. 10
  27. 12
  28. 3
  29. 70
  30. 50
  31. 4
  32. 2
  33. 24
  34. 4
  35. 10
  36. 45
  37. 48
  38. 100
  39. 50
  40. 10

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