Robotics Worksheet: Gear Ratio for Kids

Robotics lesson 14: Gear ratio sums · Set 280 · 40 questions

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).

1. 1.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
2. 2.⚙️ A 20-tooth driver gear turns an 80-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
3. 3.🔢 A gear ratio of 3 (driven ÷ driver) means the driven gear turns … (a) 3 times louder (b) 3 times faster (c) 3 times bigger (d) 3 times slower
4. 4.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) zero (b) small (fast, weak) (c) big (slow and strong) (d) never important
5. 5.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
6. 6.⚙️ A motor makes 200 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 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
8. 8.⚙️ A motor makes 60 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?
9. 9.🔢 Gear ratio = driven teeth ÷ … (a) motor volts (b) wheel size (c) number of gears (d) driver teeth
10. 10.⚙️ An 8-tooth driver gear turns a 24-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
11. 11.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 3 times. How many times does the driven gear turn?
12. 12.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
13. 13.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
14. 14.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
15. 15.⚙️ 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?
16. 16.⚙️ A 10-tooth driver gear turns a 50-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
17. 17.⚙️ A motor makes 150 turns a minute with a 12-tooth gear on it. That gear drives a 60-tooth gear. How many turns a minute does the 60-tooth gear make?
18. 18.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
19. 19.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
20. 20.⚙️ A 36-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
21. 21.⚙️ A 20-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
22. 22.⚙️ An 8-tooth gear drives a 24-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
23. 23.⚙️ A motor makes 160 turns a minute with a 12-tooth gear on it. That gear drives a 48-tooth gear. How many turns a minute does the 48-tooth gear make?
24. 24.⚙️ A motor makes 550 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?
25. 25.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
26. 26.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
27. 27.⚙️ An 8-tooth driver gear turns a 32-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
28. 28.⚙️ A 40-tooth driver gear turns a 20-tooth driven gear. The driver turns 2 times. How many times does the driven gear turn?
29. 29.⚙️ A motor makes 300 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?
30. 30.⚙️ A 20-tooth driver gear turns a 10-tooth driven gear. The driver turns 5 times. How many times does the driven gear turn?
31. 31.⚙️ A 12-tooth gear drives a 36-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
32. 32.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
33. 33.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?
34. 34.⚙️ A motor makes 200 turns a minute with a 10-tooth gear on it. That gear drives a 50-tooth gear. How many turns a minute does the 50-tooth gear make?
35. 35.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
36. 36.⚙️ A 60-tooth driver gear turns a 15-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
37. 37.⚙️ A 10-tooth gear drives a 30-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
38. 38.⚙️ A 30-tooth driver gear turns a 10-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
39. 39.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
40. 40.⚙️ A 12-tooth driver gear turns a 36-tooth driven gear. The driven gear turns 6 times. How many times did the driver turn?

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