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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 6 · 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 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
  2. 2.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  3. 3.🔢 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)
  4. 4.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  5. 5.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  6. 6.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  7. 7.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  8. 8.⚙️ A motor makes 240 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?
  9. 9.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 27 times. How many times does the driven gear turn?
  10. 10.⚙️ A motor makes 200 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?
  11. 11.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  14. 14.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  15. 15.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  18. 18.⚙️ A motor makes 350 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?
  19. 19.⚙️ A motor makes 20 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?
  20. 20.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  21. 21.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  22. 22.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) driver teeth (d) number of gears
  23. 23.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  24. 24.⚙️ A motor makes 350 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  25. 25.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  26. 26.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  27. 27.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  28. 28.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  29. 29.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  30. 30.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  31. 31.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  32. 32.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  33. 33.⚙️ A motor makes 40 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?
  34. 34.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  35. 35.⚙️ A motor makes 180 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?
  36. 36.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  37. 37.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  38. 38.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  39. 39.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  40. 40.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?

Answer key

  1. 3 times slower
  2. 30
  3. big (slow and strong)
  4. 20
  5. 30
  6. 21
  7. 8
  8. 120
  9. 9
  10. 100
  11. 2
  12. 4
  13. 4
  14. 60
  15. 40
  16. 3
  17. 20
  18. 70
  19. 10
  20. 50
  21. 32
  22. driver teeth
  23. 4
  24. 70
  25. 6
  26. 36
  27. 5
  28. 9
  29. 25
  30. 18
  31. 15
  32. 30
  33. 10
  34. 24
  35. 90
  36. 3
  37. 12
  38. 3
  39. 8
  40. 21

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