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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 278 · 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 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  2. 2.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  3. 3.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  4. 4.⚙️ A motor makes 500 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?
  5. 5.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  6. 6.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) motor volts (d) wheel size
  7. 7.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  8. 8.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  9. 9.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  11. 11.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  12. 12.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  13. 13.⚙️ An 8-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  15. 15.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  16. 16.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) big (slow and strong) (d) never important
  17. 17.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  18. 18.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  19. 19.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  21. 21.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  24. 24.⚙️ A motor makes 210 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?
  25. 25.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  26. 26.⚙️ A motor makes 150 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?
  27. 27.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  29. 29.⚙️ 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?
  30. 30.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times bigger (c) 3 times faster (d) 3 times slower
  31. 31.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  33. 33.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  35. 35.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  36. 36.⚙️ A motor makes 200 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  37. 37.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  38. 38.⚙️ A 24-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  39. 39.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  40. 40.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?

Answer key

  1. 32
  2. 16
  3. 2
  4. 100
  5. 45
  6. driver teeth
  7. 20
  8. 6
  9. 3
  10. 5
  11. 6
  12. 6
  13. 32
  14. 32
  15. 6
  16. big (slow and strong)
  17. 10
  18. 6
  19. 3
  20. 8
  21. 50
  22. 60
  23. 4
  24. 70
  25. 40
  26. 30
  27. 20
  28. 12
  29. 90
  30. 3 times slower
  31. 4
  32. 36
  33. 24
  34. 9
  35. 4
  36. 50
  37. 20
  38. 24
  39. 16
  40. 50

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