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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 74 · 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 must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  2. 2.⚙️ An 80-tooth driver gear turns a 20-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 4 times slower. How many teeth must the driven gear have?
  4. 4.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times slower (b) 3 times louder (c) 3 times bigger (d) 3 times faster
  5. 5.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  6. 6.⚙️ 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?
  7. 7.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  8. 8.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  9. 9.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) zero (c) small (fast, weak) (d) big (slow and strong)
  10. 10.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  11. 11.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
  12. 12.⚙️ A motor makes 180 turns a minute with a 20-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  13. 13.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  14. 14.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  15. 15.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  16. 16.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  17. 17.⚙️ A motor makes 360 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?
  18. 18.⚙️ A 15-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  20. 20.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  21. 21.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  22. 22.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  24. 24.⚙️ A motor makes 90 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?
  25. 25.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  26. 26.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  27. 27.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  29. 29.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  31. 31.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  32. 32.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  33. 33.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  34. 34.⚙️ A 20-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  35. 35.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  37. 37.⚙️ 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?
  38. 38.⚙️ A 32-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  39. 39.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  40. 40.⚙️ A 10-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. 80
  2. 32
  3. 40
  4. 3 times slower
  5. 12
  6. 30
  7. 2
  8. 60
  9. big (slow and strong)
  10. 6
  11. driver teeth
  12. 90
  13. 20
  14. 40
  15. 1
  16. 4
  17. 120
  18. 2
  19. 30
  20. 4
  21. 4
  22. 36
  23. 2
  24. 30
  25. 40
  26. 3
  27. 60
  28. 24
  29. 4
  30. 24
  31. 10
  32. 8
  33. 40
  34. 2
  35. 6
  36. 2
  37. 120
  38. 32
  39. 5
  40. 2

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