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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 181 · 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 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  2. 2.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 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 bigger (b) 3 times slower (c) 3 times louder (d) 3 times faster
  5. 5.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) big (slow and strong) (c) small (fast, weak) (d) never important
  6. 6.⚙️ 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?
  7. 7.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  8. 8.⚙️ A motor makes 30 turns a minute with a 10-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
  9. 9.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  10. 10.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) wheel size (c) motor volts (d) driver teeth
  11. 11.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  12. 12.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  13. 13.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  14. 14.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  15. 15.⚙️ A 10-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  17. 17.⚙️ A motor makes 100 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?
  18. 18.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  19. 19.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  20. 20.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  21. 21.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  22. 22.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
  23. 23.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  24. 24.⚙️ A 15-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  25. 25.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  26. 26.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 24 times. How many times does the driven gear turn?
  29. 29.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  30. 30.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  32. 32.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  33. 33.⚙️ A 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  34. 34.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  35. 35.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  37. 37.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  38. 38.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  39. 39.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?

Answer key

  1. 24
  2. 10
  3. 40
  4. 3 times slower
  5. big (slow and strong)
  6. 90
  7. 20
  8. 10
  9. 2
  10. driver teeth
  11. 2
  12. 2
  13. 24
  14. 1
  15. 30
  16. 30
  17. 20
  18. 8
  19. 2
  20. 32
  21. 4
  22. 3
  23. 3
  24. 4
  25. 5
  26. 24
  27. 16
  28. 8
  29. 12
  30. 60
  31. 4
  32. 10
  33. 15
  34. 40
  35. 2
  36. 4
  37. 9
  38. 18
  39. 3
  40. 45

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