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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 283 · 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 80 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?
  2. 2.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  3. 3.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  4. 4.⚙️ A motor makes 150 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?
  5. 5.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  6. 6.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  7. 7.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  8. 8.⚙️ 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?
  9. 9.🔢 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
  10. 10.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  11. 11.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  12. 12.🔢 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
  13. 13.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  14. 14.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  15. 15.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  16. 16.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 100 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?
  18. 18.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  20. 20.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  22. 22.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  24. 24.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  25. 25.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  26. 26.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  27. 27.⚙️ A motor makes 320 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?
  28. 28.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  30. 30.⚙️ A motor makes 120 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?
  31. 31.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  32. 32.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) motor volts (c) driver teeth (d) number of gears
  33. 33.⚙️ A motor makes 210 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?
  34. 34.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  36. 36.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  39. 39.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  40. 40.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?

Answer key

  1. 20
  2. 6
  3. 8
  4. 50
  5. 5
  6. 2
  7. 3
  8. 30
  9. big (slow and strong)
  10. 36
  11. 30
  12. 3 times slower
  13. 7
  14. 50
  15. 3
  16. 1
  17. 50
  18. 16
  19. 25
  20. 4
  21. 2
  22. 5
  23. 24
  24. 10
  25. 45
  26. 45
  27. 80
  28. 32
  29. 5
  30. 60
  31. 8
  32. driver teeth
  33. 70
  34. 32
  35. 5
  36. 3
  37. 40
  38. 2
  39. 12
  40. 40

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