← Gear ratio sums lesson New set →

Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 16 · 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.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) never important (b) small (fast, weak) (c) big (slow and strong) (d) zero
  2. 2.⚙️ A 15-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  3. 3.⚙️ A 15-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  4. 4.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
  5. 5.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
  6. 6.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  7. 7.🔢 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
  8. 8.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  9. 9.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  10. 10.⚙️ A 40-tooth driver gear turns an 8-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  11. 11.⚙️ A motor makes 400 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?
  12. 12.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  13. 13.⚙️ A 45-tooth driver gear turns a 15-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
  14. 14.⚙️ A motor makes 100 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?
  15. 15.⚙️ A motor makes 200 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  16. 16.⚙️ An 8-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  17. 17.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  18. 18.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) motor volts (d) driver teeth
  19. 19.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 18 times. How many times does the driven gear turn?
  20. 20.⚙️ A motor makes 160 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 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  22. 22.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A motor makes 360 turns a minute with a 15-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
  24. 24.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 35 times. How many times does the driven gear turn?
  25. 25.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  26. 26.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  27. 27.⚙️ 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?
  28. 28.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  29. 29.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  30. 30.⚙️ A 10-tooth gear drives a 40-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  31. 31.⚙️ A motor makes 360 turns a minute with a 10-tooth gear on it. That gear drives a 40-tooth gear. How many turns a minute does the 40-tooth gear make?
  32. 32.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  33. 33.⚙️ A 20-tooth gear drives an 80-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  34. 34.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  36. 36.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  37. 37.⚙️ A motor makes 80 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?
  38. 38.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  39. 39.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  40. 40.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?

Answer key

  1. big (slow and strong)
  2. 5
  3. 45
  4. 5
  5. 7
  6. 40
  7. 3 times slower
  8. 60
  9. 10
  10. 25
  11. 80
  12. 8
  13. 21
  14. 50
  15. 50
  16. 5
  17. 18
  18. driver teeth
  19. 6
  20. 80
  21. 24
  22. 24
  23. 90
  24. 7
  25. 50
  26. 60
  27. 60
  28. 2
  29. 5
  30. 4
  31. 90
  32. 8
  33. 4
  34. 5
  35. 30
  36. 2
  37. 40
  38. 18
  39. 20
  40. 7

Free robotics lessons, practice and worksheets at talentjr.in/robotics-for-kids