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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 19 · 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 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  2. 2.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ A 12-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  6. 6.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) driver teeth (c) wheel size (d) number of gears
  7. 7.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  8. 8.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) small (fast, weak) (c) zero (d) never important
  9. 9.⚙️ A 15-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  11. 11.⚙️ A motor makes 300 turns a minute with a 20-tooth gear on it. That gear drives a 100-tooth gear. How many turns a minute does the 100-tooth gear make?
  12. 12.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  13. 13.⚙️ A motor makes 180 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?
  14. 14.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 21 times. How many times does the driven gear turn?
  15. 15.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  16. 16.⚙️ A motor makes 120 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?
  17. 17.⚙️ A motor makes 160 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?
  18. 18.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  19. 19.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  22. 22.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  23. 23.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  25. 25.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  26. 26.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  27. 27.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  28. 28.⚙️ A motor makes 160 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?
  29. 29.🔢 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
  30. 30.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  31. 31.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  32. 32.⚙️ A motor makes 200 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?
  33. 33.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  34. 34.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  35. 35.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear 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 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  38. 38.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  39. 39.⚙️ 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?
  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. 5
  2. 2
  3. 24
  4. 5
  5. 20
  6. driver teeth
  7. 30
  8. big (slow and strong)
  9. 75
  10. 1
  11. 60
  12. 3
  13. 60
  14. 7
  15. 40
  16. 60
  17. 40
  18. 24
  19. 20
  20. 5
  21. 6
  22. 4
  23. 30
  24. 45
  25. 20
  26. 5
  27. 28
  28. 80
  29. 3 times slower
  30. 2
  31. 4
  32. 50
  33. 3
  34. 4
  35. 12
  36. 16
  37. 8
  38. 60
  39. 10
  40. 21

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