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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 228 · 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 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  2. 2.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  3. 3.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times bigger (c) 3 times louder (d) 3 times faster
  4. 4.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A motor makes 160 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?
  6. 6.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) motor volts (c) driver teeth (d) number of gears
  7. 7.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  10. 10.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  11. 11.⚙️ A 10-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 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  13. 13.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  14. 14.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  15. 15.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  16. 16.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  17. 17.⚙️ A motor makes 240 turns a minute with a 20-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  18. 18.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  20. 20.⚙️ A motor makes 40 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  21. 21.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  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 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  24. 24.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  25. 25.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  26. 26.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  28. 28.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  32. 32.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  34. 34.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  36. 36.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  37. 37.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A motor makes 90 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  40. 40.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?

Answer key

  1. 25
  2. 8
  3. 3 times slower
  4. 2
  5. 80
  6. driver teeth
  7. 4
  8. 5
  9. 9
  10. 2
  11. 3
  12. 3
  13. 50
  14. 25
  15. 20
  16. 4
  17. 120
  18. 80
  19. 2
  20. 10
  21. 5
  22. 40
  23. 20
  24. 16
  25. 7
  26. 20
  27. 5
  28. 4
  29. 1
  30. 10
  31. 9
  32. 5
  33. 4
  34. 48
  35. 8
  36. 8
  37. 4
  38. 75
  39. 30
  40. 7

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