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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 128 · 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 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  2. 2.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  3. 3.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  4. 4.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) big (slow and strong) (c) small (fast, weak) (d) never important
  5. 5.⚙️ A motor makes 80 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?
  6. 6.⚙️ A motor makes 90 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  7. 7.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  8. 8.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  10. 10.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 30 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 bigger (b) 3 times louder (c) 3 times slower (d) 3 times faster
  12. 12.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  13. 13.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  14. 14.⚙️ A motor makes 300 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.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  16. 16.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  17. 17.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  18. 18.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  20. 20.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) motor volts (c) number of gears (d) wheel size
  21. 21.⚙️ A motor makes 50 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?
  22. 22.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  23. 23.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  24. 24.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  25. 25.⚙️ 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?
  26. 26.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  27. 27.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  29. 29.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  31. 31.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  32. 32.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  33. 33.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  34. 34.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  35. 35.⚙️ A motor makes 300 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  36. 36.⚙️ A motor makes 200 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.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  38. 38.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A motor makes 60 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?

Answer key

  1. 30
  2. 24
  3. 5
  4. big (slow and strong)
  5. 20
  6. 30
  7. 8
  8. 3
  9. 10
  10. 6
  11. 3 times slower
  12. 32
  13. 1
  14. 100
  15. 4
  16. 80
  17. 30
  18. 6
  19. 27
  20. driver teeth
  21. 10
  22. 8
  23. 20
  24. 10
  25. 10
  26. 6
  27. 40
  28. 4
  29. 60
  30. 12
  31. 4
  32. 2
  33. 9
  34. 2
  35. 100
  36. 40
  37. 21
  38. 20
  39. 5
  40. 30

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