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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 70 · 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.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  3. 3.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ A 12-tooth gear drives a 48-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  5. 5.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  6. 6.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  7. 7.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times bigger (c) 3 times faster (d) 3 times louder
  8. 8.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  9. 9.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  10. 10.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  11. 11.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  12. 12.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  13. 13.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  15. 15.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  19. 19.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  20. 20.🔢 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
  21. 21.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  22. 22.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  23. 23.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
  24. 24.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  25. 25.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  27. 27.⚙️ A motor makes 250 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  28. 28.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  30. 30.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  31. 31.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  32. 32.⚙️ A 15-tooth gear drives a 45-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  33. 33.⚙️ A motor makes 100 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  34. 34.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  36. 36.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  38. 38.⚙️ A motor makes 50 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
  39. 39.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?

Answer key

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

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