Robotics Worksheet: Gear Ratio for Kids
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.⚙️ A 12-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
- 2.🔢 Gear ratio = driven teeth ÷ … (a) wheel size (b) number of gears (c) driver teeth (d) motor volts
- 3.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 1 time. How many times did the driver turn?
- 4.🔢 To climb a steep ramp, a robot needs a gear ratio that is … (a) big (slow and strong) (b) never important (c) zero (d) small (fast, weak)
- 5.⚙️ A motor makes 270 turns a minute with an 8-tooth gear on it. That gear drives a 24-tooth gear. How many turns a minute does the 24-tooth gear make?
- 6.⚙️ An 8-tooth gear drives a 16-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
- 7.⚙️ A 10-tooth driver gear turns a 30-tooth driven gear. The driven gear turns 3 times. How many times did the driver turn?
- 8.⚙️ A 16-tooth driver gear turns an 8-tooth driven gear. The driver turns 8 times. How many times does the driven gear turn?
- 9.⚙️ A 15-tooth driver gear turns a 45-tooth driven gear. The driven gear turns 4 times. How many times did the driver turn?
- 10.⚙️ An 8-tooth driver gear turns a 16-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
- 11.⚙️ An 80-tooth driver gear turns a 20-tooth driven gear. The driver turns 7 times. How many times does the driven gear turn?
- 12.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driver turns 30 times. How many times does the driven gear turn?
- 13.⚙️ A 20-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
- 14.⚙️ A motor makes 140 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?
- 15.⚙️ A 15-tooth driver gear turns a 30-tooth driven gear. The driver turns 12 times. How many times does the driven gear turn?
- 16.⚙️ A 10-tooth gear drives a 50-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
- 17.⚙️ A 10-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
- 18.⚙️ A 12-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
- 19.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driver turns 20 times. How many times does the driven gear turn?
- 20.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 6 times. How many times does the driven gear turn?
- 21.⚙️ A 20-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
- 22.⚙️ A motor makes 100 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?
- 23.⚙️ A 12-tooth driver gear must make the driven gear turn 4 times slower. How many teeth must the driven gear have?
- 24.⚙️ A 12-tooth driver gear must make the driven gear turn 3 times slower. How many teeth must the driven gear have?
- 25.⚙️ A motor makes 240 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?
- 26.⚙️ A motor makes 120 turns a minute with a 15-tooth gear on it. That gear drives a 30-tooth gear. How many turns a minute does the 30-tooth gear make?
- 27.⚙️ A 10-tooth gear drives a 20-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
- 28.⚙️ A 12-tooth driver gear turns a 60-tooth driven gear. The driven gear turns 7 times. How many times did the driver turn?
- 29.⚙️ A 10-tooth driver gear turns a 40-tooth driven gear. The driver turns 32 times. How many times does the driven gear turn?
- 30.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driver turns 4 times. How many times does the driven gear turn?
- 31.⚙️ A 12-tooth driver gear turns a 48-tooth driven gear. The driven gear turns 2 times. How many times did the driver turn?
- 32.⚙️ An 8-tooth driver gear turns a 40-tooth driven gear. The driven gear turns 9 times. How many times did the driver turn?
- 33.⚙️ A 15-tooth driver gear turns a 75-tooth driven gear. The driven gear turns 10 times. How many times did the driver turn?
- 34.⚙️ A 10-tooth driver gear turns a 20-tooth driven gear. The driven gear turns 8 times. How many times did the driver turn?
- 35.⚙️ A 12-tooth driver gear turns a 24-tooth driven gear. The driver turns 14 times. How many times does the driven gear turn?
- 36.⚙️ An 8-tooth gear drives a 32-tooth gear. What is the gear ratio (driven teeth ÷ driver teeth)?
- 37.⚙️ A 40-tooth driver gear turns a 10-tooth driven gear. The driver turns 10 times. How many times does the driven gear turn?
- 38.⚙️ An 8-tooth driver gear must make the driven gear turn 2 times slower. How many teeth must the driven gear have?
- 39.⚙️ A 10-tooth driver gear must make the driven gear turn 5 times slower. How many teeth must the driven gear have?
- 40.⚙️ A 24-tooth driver gear turns a 12-tooth driven gear. The driver turns 1 time. How many times does the driven gear turn?
Answer key
- 24
- driver teeth
- 3
- big (slow and strong)
- 90
- 2
- 9
- 16
- 12
- 2
- 28
- 10
- 21
- 70
- 6
- 5
- 20
- 60
- 5
- 3
- 100
- 20
- 48
- 36
- 80
- 60
- 2
- 35
- 8
- 2
- 8
- 45
- 50
- 16
- 7
- 4
- 40
- 16
- 50
- 2
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