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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 135 · 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 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  2. 2.⚙️ A motor makes 550 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?
  3. 3.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  4. 4.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  5. 5.⚙️ A 20-tooth driver gear must make the driven gear turn 5 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 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  8. 8.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times slower (c) 3 times louder (d) 3 times faster
  9. 9.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  10. 10.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ 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?
  12. 12.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  13. 13.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) motor volts (c) driver teeth (d) number of gears
  14. 14.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 20 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) zero (b) small (fast, weak) (c) never important (d) big (slow and strong)
  17. 17.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  19. 19.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  21. 21.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  22. 22.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  23. 23.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ A motor makes 300 turns a minute with a 20-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  25. 25.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  27. 27.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  28. 28.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ A motor makes 180 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?
  30. 30.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  32. 32.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 50 times. How many times does the driven gear turn?
  33. 33.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  35. 35.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  37. 37.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  38. 38.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  39. 39.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 25 times. How many times does the driven gear turn?
  40. 40.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?

Answer key

  1. 1
  2. 110
  3. 3
  4. 4
  5. 100
  6. 4
  7. 6
  8. 3 times slower
  9. 80
  10. 16
  11. 120
  12. 8
  13. driver teeth
  14. 5
  15. 4
  16. big (slow and strong)
  17. 20
  18. 12
  19. 24
  20. 4
  21. 24
  22. 2
  23. 48
  24. 100
  25. 5
  26. 6
  27. 6
  28. 3
  29. 60
  30. 2
  31. 14
  32. 10
  33. 2
  34. 5
  35. 8
  36. 2
  37. 24
  38. 15
  39. 5
  40. 40

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