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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 90 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 90T · Driven: 15T
2. A driving gear with 232 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: 232T · Driven: 29T
3. A driving gear with 75 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 75T · Driven: 15T
4. A driving gear with 24 teeth meshes with a driven gear that has 12 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 24T · Driven: 12T
5. A driving gear with 69 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 69T · Driven: 23T
6. A driving gear with 46 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 46T · Driven: 23T
7. A driving gear with 115 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 115T · Driven: 23T
8. A driving gear with 133 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: 133T · Driven: 19T
9. A driving gear with 96 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: 96T · Driven: 24T
10. A driving gear with 125 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: 125T · Driven: 25T
11. A driving gear with 136 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: 136T · Driven: 17T
12. 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
12 questions · Seed 47 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 7-9
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 90 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 90 ÷ 15 = 6.
2. A driving gear with 232 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?
8
Rotations of driven gear = 232 ÷ 29 = 8.
3. A driving gear with 75 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 75 ÷ 15 = 5.
4. A driving gear with 24 teeth meshes with a driven gear that has 12 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 24 ÷ 12 = 2.
5. A driving gear with 69 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 69 ÷ 23 = 3.
6. A driving gear with 46 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 46 ÷ 23 = 2.
7. A driving gear with 115 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 115 ÷ 23 = 5.
8. A driving gear with 133 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?
7
Rotations of driven gear = 133 ÷ 19 = 7.
9. A driving gear with 96 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?
4
Rotations of driven gear = 96 ÷ 24 = 4.
10. A driving gear with 125 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?
5
Rotations of driven gear = 125 ÷ 25 = 5.
11. A driving gear with 136 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?
8
Rotations of driven gear = 136 ÷ 17 = 8.
12. 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.
12 questions · Seed 47 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 90 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 90T · Driven: 15T
2. A driving gear with 232 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: 232T · Driven: 29T
3. A driving gear with 75 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 75T · Driven: 15T
4. A driving gear with 24 teeth meshes with a driven gear that has 12 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 24T · Driven: 12T
5. A driving gear with 69 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 69T · Driven: 23T
6. A driving gear with 46 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 46T · Driven: 23T
7. A driving gear with 115 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 115T · Driven: 23T
8. A driving gear with 133 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: 133T · Driven: 19T
9. A driving gear with 96 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: 96T · Driven: 24T
10. A driving gear with 125 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: 125T · Driven: 25T
11. A driving gear with 136 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: 136T · Driven: 17T
12. 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
12 questions · Seed 47 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 90 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 90 ÷ 15 = 6.
2. A driving gear with 232 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?
8
Rotations of driven gear = 232 ÷ 29 = 8.
3. A driving gear with 75 teeth meshes with a driven gear that has 15 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 75 ÷ 15 = 5.
4. A driving gear with 24 teeth meshes with a driven gear that has 12 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 24 ÷ 12 = 2.
5. A driving gear with 69 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 69 ÷ 23 = 3.
6. A driving gear with 46 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
2
Rotations of driven gear = 46 ÷ 23 = 2.
7. A driving gear with 115 teeth meshes with a driven gear that has 23 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 115 ÷ 23 = 5.
8. A driving gear with 133 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?
7
Rotations of driven gear = 133 ÷ 19 = 7.
9. A driving gear with 96 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?
4
Rotations of driven gear = 96 ÷ 24 = 4.
10. A driving gear with 125 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?
5
Rotations of driven gear = 125 ÷ 25 = 5.
11. A driving gear with 136 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?
8
Rotations of driven gear = 136 ÷ 17 = 8.
12. 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.
12 questions · Seed 47 · Age guidance, not curriculum certification