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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 112 teeth meshes with a driven gear that has 14 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 112T · Driven: 14T
2. A driving gear with 50 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: 50T · Driven: 25T
3. A driving gear with 162 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: 162T · Driven: 27T
4. A driving gear with 95 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: 95T · Driven: 19T
5. A driving gear with 84 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: 84T · Driven: 12T
6. A driving gear with 40 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 40T · Driven: 10T
7. A driving gear with 72 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: 72T · Driven: 24T
8. A driving gear with 65 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 65T · Driven: 13T
9. A driving gear with 91 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 91T · Driven: 13T
10. A driving gear with 30 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 30T · Driven: 10T
11. A driving gear with 161 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: 161T · Driven: 23T
12. A driving gear with 240 teeth meshes with a driven gear that has 30 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 240T · Driven: 30T
12 questions · Seed 45 · 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 112 teeth meshes with a driven gear that has 14 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
8
Rotations of driven gear = 112 ÷ 14 = 8.
2. A driving gear with 50 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?
2
Rotations of driven gear = 50 ÷ 25 = 2.
3. A driving gear with 162 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?
6
Rotations of driven gear = 162 ÷ 27 = 6.
4. A driving gear with 95 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?
5
Rotations of driven gear = 95 ÷ 19 = 5.
5. A driving gear with 84 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?
7
Rotations of driven gear = 84 ÷ 12 = 7.
6. A driving gear with 40 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
4
Rotations of driven gear = 40 ÷ 10 = 4.
7. A driving gear with 72 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?
3
Rotations of driven gear = 72 ÷ 24 = 3.
8. A driving gear with 65 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 65 ÷ 13 = 5.
9. A driving gear with 91 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 91 ÷ 13 = 7.
10. A driving gear with 30 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 30 ÷ 10 = 3.
11. A driving gear with 161 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?
7
Rotations of driven gear = 161 ÷ 23 = 7.
12. A driving gear with 240 teeth meshes with a driven gear that has 30 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
8
Rotations of driven gear = 240 ÷ 30 = 8.
12 questions · Seed 45 · 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 112 teeth meshes with a driven gear that has 14 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 112T · Driven: 14T
2. A driving gear with 50 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: 50T · Driven: 25T
3. A driving gear with 162 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: 162T · Driven: 27T
4. A driving gear with 95 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: 95T · Driven: 19T
5. A driving gear with 84 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: 84T · Driven: 12T
6. A driving gear with 40 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 40T · Driven: 10T
7. A driving gear with 72 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: 72T · Driven: 24T
8. A driving gear with 65 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 65T · Driven: 13T
9. A driving gear with 91 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 91T · Driven: 13T
10. A driving gear with 30 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 30T · Driven: 10T
11. A driving gear with 161 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: 161T · Driven: 23T
12. A driving gear with 240 teeth meshes with a driven gear that has 30 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 240T · Driven: 30T
12 questions · Seed 45 · 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 112 teeth meshes with a driven gear that has 14 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
8
Rotations of driven gear = 112 ÷ 14 = 8.
2. A driving gear with 50 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?
2
Rotations of driven gear = 50 ÷ 25 = 2.
3. A driving gear with 162 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?
6
Rotations of driven gear = 162 ÷ 27 = 6.
4. A driving gear with 95 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?
5
Rotations of driven gear = 95 ÷ 19 = 5.
5. A driving gear with 84 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?
7
Rotations of driven gear = 84 ÷ 12 = 7.
6. A driving gear with 40 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
4
Rotations of driven gear = 40 ÷ 10 = 4.
7. A driving gear with 72 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?
3
Rotations of driven gear = 72 ÷ 24 = 3.
8. A driving gear with 65 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 65 ÷ 13 = 5.
9. A driving gear with 91 teeth meshes with a driven gear that has 13 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 91 ÷ 13 = 7.
10. A driving gear with 30 teeth meshes with a driven gear that has 10 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
3
Rotations of driven gear = 30 ÷ 10 = 3.
11. A driving gear with 161 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?
7
Rotations of driven gear = 161 ÷ 23 = 7.
12. A driving gear with 240 teeth meshes with a driven gear that has 30 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
8
Rotations of driven gear = 240 ÷ 30 = 8.
12 questions · Seed 45 · Age guidance, not curriculum certification