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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 59 · 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 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  2. 2.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  3. 3.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  4. 4.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driver turns 16 times. How many times does the driven gear turn?
  5. 5.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  6. 6.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  7. 7.⚙️ A motor makes 100 turns a minute with an 8-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  8. 8.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times louder (c) 3 times slower (d) 3 times faster
  9. 9.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  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 12-tooth driver gear turns a 36-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
  12. 12.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) driver teeth (c) motor volts (d) number of gears
  13. 13.⚙️ A motor makes 120 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?
  14. 14.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  15. 15.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  16. 16.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  17. 17.⚙️ A 15-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  18. 18.⚙️ A 20-tooth gear drives a 100-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  19. 19.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  20. 20.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  21. 21.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  22. 22.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) never important (c) big (slow and strong) (d) small (fast, weak)
  23. 23.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  24. 24.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  25. 25.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 28 times. How many times does the driven gear turn?
  26. 26.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
  27. 27.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  28. 28.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  29. 29.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  30. 30.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
  31. 31.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  32. 32.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  33. 33.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  34. 34.⚙️ A 20-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  35. 35.⚙️ A motor makes 120 turns a minute with a 12-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
  36. 36.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  37. 37.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  38. 38.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  39. 39.⚙️ A 20-tooth gear drives a 60-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  40. 40.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?

Answer key

  1. 6
  2. 50
  3. 18
  4. 4
  5. 18
  6. 30
  7. 20
  8. 3 times slower
  9. 4
  10. 16
  11. 1
  12. driver teeth
  13. 40
  14. 2
  15. 60
  16. 7
  17. 30
  18. 5
  19. 4
  20. 12
  21. 5
  22. big (slow and strong)
  23. 40
  24. 4
  25. 7
  26. 12
  27. 60
  28. 20
  29. 2
  30. 16
  31. 21
  32. 30
  33. 16
  34. 18
  35. 60
  36. 30
  37. 36
  38. 3
  39. 3
  40. 8

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