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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 102 · 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 32-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  2. 2.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 24 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 7 times. How many times does the driven gear turn?
  4. 4.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  7. 7.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  8. 8.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  9. 9.⚙️ A motor makes 440 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?
  10. 10.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) zero (c) never important (d) small (fast, weak)
  11. 11.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  12. 12.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  13. 13.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  15. 15.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times bigger (d) 3 times slower
  16. 16.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  17. 17.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  20. 20.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  22. 22.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  24. 24.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  25. 25.⚙️ A 40-tooth driver gear turns a 10-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 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  27. 27.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  30. 30.⚙️ A motor makes 240 turns a minute with an 8-tooth gear on it. That gear drives a 32-tooth gear. How many turns a minute does the 32-tooth gear make?
  31. 31.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  32. 32.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  33. 33.⚙️ A motor makes 270 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?
  34. 34.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  35. 35.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  36. 36.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  40. 40.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?

Answer key

  1. 10
  2. 6
  3. 14
  4. 4
  5. 5
  6. driver teeth
  7. 40
  8. 16
  9. 110
  10. big (slow and strong)
  11. 1
  12. 12
  13. 40
  14. 30
  15. 3 times slower
  16. 20
  17. 30
  18. 4
  19. 16
  20. 15
  21. 3
  22. 10
  23. 6
  24. 5
  25. 20
  26. 18
  27. 2
  28. 80
  29. 24
  30. 60
  31. 3
  32. 20
  33. 90
  34. 18
  35. 8
  36. 6
  37. 24
  38. 2
  39. 60
  40. 10

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