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Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 48 · 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 60-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  2. 2.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driver turns 40 times. How many times does the driven gear turn?
  3. 3.⚙️ A motor makes 300 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?
  4. 4.🔢 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)
  5. 5.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
  6. 6.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
  7. 7.⚙️ A 48-tooth driver gear turns a 12-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
  8. 8.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  9. 9.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times bigger (b) 3 times faster (c) 3 times slower (d) 3 times louder
  10. 10.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  11. 11.🔢 Gear ratio = driven teeth ÷ … (a) number of gears (b) motor volts (c) wheel size (d) driver teeth
  12. 12.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  13. 13.⚙️ An 8-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  14. 14.⚙️ A motor makes 80 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  15. 15.⚙️ A 100-tooth driver gear turns a 20-tooth driven gear. The driver turns 9 times. How many times does the driven gear turn?
  16. 16.⚙️ A 50-tooth driver gear turns a 10-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  17. 17.⚙️ A 20-tooth driver gear turns a 100-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  18. 18.⚙️ A motor makes 50 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?
  19. 19.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
  20. 20.⚙️ A motor makes 200 turns a minute with a 20-tooth gear on it. That gear drives an 80-tooth gear. How many turns a minute does the 80-tooth gear make?
  21. 21.⚙️ A 24-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 must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
  23. 23.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
  24. 24.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
  25. 25.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  26. 26.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driver turns 15 times. How many times does the driven gear turn?
  27. 27.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
  28. 28.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
  29. 29.⚙️ An 8-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  30. 30.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
  31. 31.⚙️ A 20-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
  32. 32.⚙️ A motor makes 80 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?
  33. 33.⚙️ A 10-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
  34. 34.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 5 times. How many times did the driver turn?
  35. 35.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
  36. 36.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
  37. 37.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
  38. 38.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
  39. 39.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
  40. 40.⚙️ A 15-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?

Answer key

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

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