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Worksheet StudioPractice pack · Ages 10-12
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 81 teeth meshes with a driven gear that has 27 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 81T · Driven: 27T
2. A driving gear with 174 teeth meshes with a driven gear that has 29 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 174T · Driven: 29T
3. A driving gear with 51 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 51T · Driven: 17T
4. A driving gear with 66 teeth meshes with a driven gear that has 22 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 66T · Driven: 22T
5. A driving gear with 55 teeth meshes with a driven gear that has 11 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 55T · Driven: 11T
6. A driving gear with 119 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 119T · Driven: 17T
7. A driving gear with 84 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 84T · Driven: 28T
8. A driving gear with 48 teeth meshes with a driven gear that has 24 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 48T · Driven: 24T
9. A driving gear with 175 teeth meshes with a driven gear that has 25 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 175T · Driven: 25T
10. A driving gear with 36 teeth meshes with a driven gear that has 18 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 36T · Driven: 18T
11. A driving gear with 114 teeth meshes with a driven gear that has 19 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 114T · Driven: 19T
12. A driving gear with 156 teeth meshes with a driven gear that has 26 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 156T · Driven: 26T
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 81 teeth meshes with a driven gear that has 27 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 81 ÷ 27 = 3.
2. A driving gear with 174 teeth meshes with a driven gear that has 29 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 174 ÷ 29 = 6.
3. A driving gear with 51 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 51 ÷ 17 = 3.
4. A driving gear with 66 teeth meshes with a driven gear that has 22 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 66 ÷ 22 = 3.
5. A driving gear with 55 teeth meshes with a driven gear that has 11 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 55 ÷ 11 = 5.
6. A driving gear with 119 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 119 ÷ 17 = 7.
7. A driving gear with 84 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 84 ÷ 28 = 3.
8. A driving gear with 48 teeth meshes with a driven gear that has 24 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 48 ÷ 24 = 2.
9. A driving gear with 175 teeth meshes with a driven gear that has 25 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 175 ÷ 25 = 7.
10. A driving gear with 36 teeth meshes with a driven gear that has 18 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 36 ÷ 18 = 2.
11. A driving gear with 114 teeth meshes with a driven gear that has 19 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 114 ÷ 19 = 6.
12. A driving gear with 156 teeth meshes with a driven gear that has 26 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 156 ÷ 26 = 6.
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 81 teeth meshes with a driven gear that has 27 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 81T · Driven: 27T
2. A driving gear with 174 teeth meshes with a driven gear that has 29 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 174T · Driven: 29T
3. A driving gear with 51 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 51T · Driven: 17T
4. A driving gear with 66 teeth meshes with a driven gear that has 22 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 66T · Driven: 22T
5. A driving gear with 55 teeth meshes with a driven gear that has 11 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 55T · Driven: 11T
6. A driving gear with 119 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 119T · Driven: 17T
7. A driving gear with 84 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 84T · Driven: 28T
8. A driving gear with 48 teeth meshes with a driven gear that has 24 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 48T · Driven: 24T
9. A driving gear with 175 teeth meshes with a driven gear that has 25 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 175T · Driven: 25T
10. A driving gear with 36 teeth meshes with a driven gear that has 18 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 36T · Driven: 18T
11. A driving gear with 114 teeth meshes with a driven gear that has 19 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 114T · Driven: 19T
12. A driving gear with 156 teeth meshes with a driven gear that has 26 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 156T · Driven: 26T
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 81 teeth meshes with a driven gear that has 27 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 81 ÷ 27 = 3.
2. A driving gear with 174 teeth meshes with a driven gear that has 29 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 174 ÷ 29 = 6.
3. A driving gear with 51 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 51 ÷ 17 = 3.
4. A driving gear with 66 teeth meshes with a driven gear that has 22 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 66 ÷ 22 = 3.
5. A driving gear with 55 teeth meshes with a driven gear that has 11 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 55 ÷ 11 = 5.
6. A driving gear with 119 teeth meshes with a driven gear that has 17 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 119 ÷ 17 = 7.
7. A driving gear with 84 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 84 ÷ 28 = 3.
8. A driving gear with 48 teeth meshes with a driven gear that has 24 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 48 ÷ 24 = 2.
9. A driving gear with 175 teeth meshes with a driven gear that has 25 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 175 ÷ 25 = 7.
10. A driving gear with 36 teeth meshes with a driven gear that has 18 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 36 ÷ 18 = 2.
11. A driving gear with 114 teeth meshes with a driven gear that has 19 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 114 ÷ 19 = 6.
12. A driving gear with 156 teeth meshes with a driven gear that has 26 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 156 ÷ 26 = 6.
12 questions · Seed 104729 · Age guidance, not curriculum certification