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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 203 · 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 motor makes 240 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?
  2. 2.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  3. 3.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  4. 4.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  5. 5.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) motor volts (d) wheel size
  6. 6.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  8. 8.⚙️ A motor makes 220 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?
  9. 9.⚙️ A motor makes 60 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?
  10. 10.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  11. 11.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times slower (c) 3 times faster (d) 3 times bigger
  12. 12.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  13. 13.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  14. 14.⚙️ A motor makes 50 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?
  15. 15.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  17. 17.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) big (slow and strong) (d) never important
  18. 18.⚙️ A motor makes 280 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?
  19. 19.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A motor makes 180 turns a minute with a 20-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  21. 21.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. How many times did the driver 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 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  24. 24.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 6 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 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  27. 27.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  28. 28.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  29. 29.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 4 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 2 times. How many times did the driver turn?
  32. 32.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  33. 33.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  34. 34.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  36. 36.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  37. 37.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  38. 38.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  40. 40.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?

Answer key

  1. 80
  2. 2
  3. 30
  4. 20
  5. driver teeth
  6. 16
  7. 1
  8. 110
  9. 30
  10. 2
  11. 3 times slower
  12. 27
  13. 45
  14. 10
  15. 2
  16. 4
  17. big (slow and strong)
  18. 70
  19. 2
  20. 60
  21. 4
  22. 40
  23. 24
  24. 2
  25. 7
  26. 6
  27. 30
  28. 10
  29. 3
  30. 2
  31. 4
  32. 3
  33. 12
  34. 4
  35. 16
  36. 15
  37. 12
  38. 24
  39. 6
  40. 40

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