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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 220 · 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 220 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?
  2. 2.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  3. 3.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  4. 4.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) small (fast, weak) (c) big (slow and strong) (d) zero
  5. 5.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  6. 6.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times faster (b) 3 times louder (c) 3 times slower (d) 3 times bigger
  7. 7.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  9. 9.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  10. 10.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) driver teeth (c) wheel size (d) number of gears
  11. 11.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  13. 13.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  15. 15.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  16. 16.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  17. 17.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  18. 18.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ A motor makes 80 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?
  21. 21.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  22. 22.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  23. 23.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  24. 24.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  25. 25.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  26. 26.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  27. 27.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  28. 28.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  29. 29.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  30. 30.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  31. 31.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 60 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?
  33. 33.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  36. 36.⚙️ A motor makes 360 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?
  37. 37.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  38. 38.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  40. 40.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?

Answer key

  1. 110
  2. 16
  3. 3
  4. big (slow and strong)
  5. 4
  6. 3 times slower
  7. 24
  8. 2
  9. 6
  10. driver teeth
  11. 5
  12. 5
  13. 24
  14. 5
  15. 24
  16. 12
  17. 45
  18. 2
  19. 60
  20. 40
  21. 10
  22. 18
  23. 3
  24. 40
  25. 40
  26. 35
  27. 27
  28. 4
  29. 14
  30. 4
  31. 9
  32. 30
  33. 2
  34. 20
  35. 4
  36. 120
  37. 4
  38. 48
  39. 8
  40. 16

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