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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 150 · 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 slower (b) 3 times louder (c) 3 times bigger (d) 3 times faster
  2. 2.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  3. 3.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  4. 4.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  5. 5.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  6. 6.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  7. 7.⚙️ A motor makes 250 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?
  8. 8.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) big (slow and strong) (c) never important (d) zero
  9. 9.⚙️ A motor makes 180 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?
  10. 10.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  11. 11.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  12. 12.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  13. 13.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A motor makes 280 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  17. 17.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  18. 18.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  19. 19.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  20. 20.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  21. 21.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  23. 23.⚙️ 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?
  24. 24.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  25. 25.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  26. 26.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  27. 27.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  28. 28.⚙️ A motor makes 160 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?
  29. 29.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  30. 30.⚙️ A motor makes 270 turns a minute with a 15-tooth gear on it. That gear drives a 45-tooth gear. How many turns a minute does the 45-tooth gear make?
  31. 31.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  32. 32.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  33. 33.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  36. 36.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  39. 39.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?

Answer key

  1. 3 times slower
  2. 4
  3. driver teeth
  4. 20
  5. 14
  6. 4
  7. 50
  8. big (slow and strong)
  9. 90
  10. 9
  11. 4
  12. 3
  13. 100
  14. 4
  15. 2
  16. 70
  17. 2
  18. 7
  19. 5
  20. 50
  21. 40
  22. 28
  23. 10
  24. 6
  25. 24
  26. 5
  27. 6
  28. 80
  29. 28
  30. 90
  31. 24
  32. 16
  33. 80
  34. 60
  35. 30
  36. 4
  37. 6
  38. 24
  39. 4
  40. 1

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