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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 100 · 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 350 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?
  2. 2.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  3. 3.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  4. 4.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  5. 5.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  6. 6.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  7. 7.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  8. 8.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  9. 9.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times slower (d) 3 times bigger
  11. 11.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) never important (c) small (fast, weak) (d) big (slow and strong)
  12. 12.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  13. 13.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  14. 14.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A motor makes 240 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?
  17. 17.⚙️ A motor makes 360 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?
  18. 18.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  19. 19.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  20. 20.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  21. 21.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  22. 22.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  24. 24.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  25. 25.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  26. 26.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  28. 28.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  29. 29.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  30. 30.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  31. 31.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  32. 32.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  33. 33.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  34. 34.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  35. 35.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  36. 36.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  37. 37.⚙️ A motor makes 200 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?
  38. 38.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  39. 39.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?

Answer key

  1. 70
  2. 8
  3. 10
  4. 18
  5. 2
  6. 40
  7. 24
  8. 2
  9. 4
  10. 3 times slower
  11. big (slow and strong)
  12. 3
  13. 4
  14. 2
  15. 5
  16. 120
  17. 90
  18. 18
  19. 3
  20. 18
  21. 9
  22. 6
  23. 9
  24. 10
  25. 20
  26. 50
  27. 8
  28. 9
  29. 30
  30. 15
  31. 6
  32. 1
  33. 10
  34. driver teeth
  35. 25
  36. 16
  37. 50
  38. 9
  39. 2
  40. 4

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