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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 248 · 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 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  2. 2.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) small (fast, weak) (b) zero (c) never important (d) big (slow and strong)
  3. 3.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  4. 4.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) driver teeth (c) motor volts (d) wheel size
  5. 5.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  6. 6.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  7. 7.⚙️ A 75-tooth driver gear turns a 15-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  8. 8.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  9. 9.⚙️ A motor makes 60 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?
  10. 10.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  11. 11.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  12. 12.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  13. 13.🔢 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
  14. 14.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  15. 15.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  16. 16.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ 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?
  19. 19.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A motor makes 180 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?
  21. 21.⚙️ A 20-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  22. 22.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A motor makes 360 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  24. 24.⚙️ A motor makes 200 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?
  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 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  27. 27.⚙️ A 12-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  29. 29.⚙️ A motor makes 270 turns a minute with a 12-tooth gear on it. That gear drives a 36-tooth gear. How many turns a minute does the 36-tooth gear make?
  30. 30.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  31. 31.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  32. 32.⚙️ A motor makes 160 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
  33. 33.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
  35. 35.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  36. 36.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  37. 37.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  38. 38.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  39. 39.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  40. 40.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?

Answer key

  1. 10
  2. big (slow and strong)
  3. 100
  4. driver teeth
  5. 8
  6. 12
  7. 25
  8. 20
  9. 20
  10. 36
  11. 30
  12. 15
  13. 3 times slower
  14. 2
  15. 10
  16. 2
  17. 80
  18. 30
  19. 3
  20. 90
  21. 40
  22. 16
  23. 120
  24. 100
  25. 40
  26. 30
  27. 2
  28. 4
  29. 90
  30. 7
  31. 7
  32. 40
  33. 4
  34. 8
  35. 18
  36. 40
  37. 8
  38. 3
  39. 15
  40. 8

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