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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 98 · 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 driven gear turns 6 times. How many times did the driver turn?
  2. 2.🔢 Gear ratio = driven teeth ÷ … (a) driver teeth (b) number of gears (c) wheel size (d) motor volts
  3. 3.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
  4. 4.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) zero (c) big (slow and strong) (d) small (fast, weak)
  5. 5.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  6. 6.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  7. 7.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times slower (c) 3 times faster (d) 3 times louder
  8. 8.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  9. 9.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  10. 10.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  11. 11.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  12. 12.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  13. 13.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  14. 14.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  15. 15.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  16. 16.⚙️ A 15-tooth gear drives a 75-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  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.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  19. 19.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  20. 20.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  21. 21.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  22. 22.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  23. 23.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A motor makes 120 turns a minute with a 10-tooth gear on it. That gear drives a 20-tooth gear. How many turns a minute does the 20-tooth gear make?
  25. 25.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  26. 26.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  28. 28.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  29. 29.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  30. 30.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  32. 32.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  33. 33.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  34. 34.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  35. 35.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  36. 36.⚙️ A 30-tooth driver gear turns a 15-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  37. 37.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  38. 38.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 45 times. How many times does the driven gear turn?
  39. 39.⚙️ A motor makes 200 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 16-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. 12
  2. driver teeth
  3. 14
  4. big (slow and strong)
  5. 24
  6. 4
  7. 3 times slower
  8. 4
  9. 2
  10. 28
  11. 15
  12. 5
  13. 2
  14. 10
  15. 5
  16. 5
  17. 10
  18. 3
  19. 8
  20. 3
  21. 16
  22. 25
  23. 4
  24. 60
  25. 6
  26. 30
  27. 5
  28. 6
  29. 12
  30. 24
  31. 25
  32. 40
  33. 8
  34. 40
  35. 6
  36. 10
  37. 1
  38. 9
  39. 40
  40. 20

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