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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 124 · 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 50 turns a minute with a 15-tooth gear on it. That gear drives a 75-tooth gear. How many turns a minute does the 75-tooth gear make?
  2. 2.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  3. 3.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  4. 4.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  5. 5.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) motor volts (d) wheel size
  6. 6.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  7. 7.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times bigger (c) 3 times faster (d) 3 times louder
  8. 8.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  9. 9.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  10. 10.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  12. 12.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  13. 13.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  14. 14.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  15. 15.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  17. 17.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) small (fast, weak) (c) zero (d) big (slow and strong)
  18. 18.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  20. 20.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  21. 21.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  22. 22.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  23. 23.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  24. 24.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  25. 25.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  26. 26.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 50 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 8 times. How many times did the driver turn?
  28. 28.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  29. 29.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  30. 30.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  31. 31.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  33. 33.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  34. 34.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  35. 35.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  36. 36.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  37. 37.⚙️ A motor makes 180 turns a minute with an 8-tooth gear on it. That gear drives a 16-tooth gear. How many turns a minute does the 16-tooth gear make?
  38. 38.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  39. 39.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  40. 40.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?

Answer key

  1. 10
  2. 4
  3. 24
  4. 9
  5. driver teeth
  6. 5
  7. 3 times slower
  8. 12
  9. 30
  10. 45
  11. 3
  12. 8
  13. 6
  14. 45
  15. 5
  16. 28
  17. big (slow and strong)
  18. 2
  19. 8
  20. 16
  21. 8
  22. 4
  23. 4
  24. 12
  25. 1
  26. 10
  27. 24
  28. 8
  29. 4
  30. 4
  31. 5
  32. 10
  33. 15
  34. 15
  35. 15
  36. 2
  37. 90
  38. 15
  39. 20
  40. 8

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