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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 50 · 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 gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  2. 2.⚙️ A motor makes 450 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?
  3. 3.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  6. 6.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  7. 7.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  8. 8.⚙️ A motor makes 90 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?
  9. 9.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  10. 10.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  11. 11.⚙️ A motor makes 120 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?
  12. 12.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times bigger (c) 3 times slower (d) 3 times faster
  13. 13.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 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) big (slow and strong) (c) zero (d) never important
  16. 16.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  17. 17.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  18. 18.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  20. 20.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) driver teeth (d) number of gears
  21. 21.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  23. 23.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  24. 24.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  27. 27.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  28. 28.⚙️ A motor makes 450 turns a minute with an 8-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  29. 29.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. 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 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  34. 34.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  35. 35.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 400 turns a minute with an 8-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  37. 37.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  38. 38.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  39. 39.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?

Answer key

  1. 2
  2. 90
  3. 3
  4. 3
  5. 2
  6. 10
  7. 10
  8. 30
  9. 5
  10. 21
  11. 30
  12. 3 times slower
  13. 80
  14. 16
  15. big (slow and strong)
  16. 9
  17. 4
  18. 24
  19. 16
  20. driver teeth
  21. 30
  22. 10
  23. 50
  24. 4
  25. 40
  26. 1
  27. 1
  28. 90
  29. 16
  30. 32
  31. 4
  32. 40
  33. 3
  34. 7
  35. 15
  36. 80
  37. 32
  38. 12
  39. 5
  40. 6

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