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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 72 · 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 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  2. 2.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  3. 3.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) motor volts (c) number of gears (d) wheel size
  5. 5.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  6. 6.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) big (slow and strong) (c) small (fast, weak) (d) zero
  7. 7.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  8. 8.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  9. 9.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  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.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  14. 14.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  16. 16.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times faster (c) 3 times bigger (d) 3 times louder
  17. 17.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  18. 18.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 20 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 1 time. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  21. 21.⚙️ A motor makes 240 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?
  22. 22.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  23. 23.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  24. 24.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  25. 25.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  26. 26.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  27. 27.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 36 times. How many times does the driven gear turn?
  28. 28.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  29. 29.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  31. 31.⚙️ 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?
  32. 32.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  33. 33.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  34. 34.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  35. 35.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  36. 36.⚙️ A motor makes 480 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?
  37. 37.⚙️ A 60-tooth driver gear turns a 12-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 600 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?
  40. 40.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?

Answer key

  1. 8
  2. 4
  3. 30
  4. driver teeth
  5. 24
  6. big (slow and strong)
  7. 5
  8. 4
  9. 2
  10. 1
  11. 4
  12. 2
  13. 5
  14. 3
  15. 4
  16. 3 times slower
  17. 7
  18. 10
  19. 2
  20. 2
  21. 120
  22. 2
  23. 6
  24. 6
  25. 30
  26. 4
  27. 9
  28. 50
  29. 20
  30. 1
  31. 10
  32. 4
  33. 24
  34. 36
  35. 30
  36. 120
  37. 45
  38. 8
  39. 120
  40. 80

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