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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 183 · 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.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) motor volts (c) number of gears (d) driver teeth
  2. 2.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  3. 3.⚙️ A 75-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 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
  5. 5.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  6. 6.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  7. 7.⚙️ A motor makes 80 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?
  8. 8.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  10. 10.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) small (fast, weak) (c) zero (d) never important
  11. 11.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  12. 12.⚙️ A motor makes 120 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?
  13. 13.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  14. 14.⚙️ A motor makes 60 turns a minute with a 10-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  15. 15.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  16. 16.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  18. 18.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  19. 19.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  20. 20.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  22. 22.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  26. 26.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  27. 27.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 120 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?
  30. 30.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  31. 31.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  32. 32.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  34. 34.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  36. 36.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  37. 37.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  39. 39.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  40. 40.⚙️ A motor makes 160 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?

Answer key

  1. driver teeth
  2. 2
  3. 35
  4. 3 times slower
  5. 20
  6. 40
  7. 40
  8. 16
  9. 10
  10. big (slow and strong)
  11. 12
  12. 60
  13. 2
  14. 20
  15. 2
  16. 5
  17. 24
  18. 7
  19. 5
  20. 2
  21. 45
  22. 24
  23. 3
  24. 32
  25. 15
  26. 16
  27. 20
  28. 3
  29. 30
  30. 2
  31. 10
  32. 2
  33. 21
  34. 5
  35. 4
  36. 21
  37. 9
  38. 16
  39. 30
  40. 80

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