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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 39 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: 39T · Driven: 13T
3. A driving gear with 85 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: 85T · Driven: 17T
4. A driving gear with 208 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: 208T · Driven: 26T
5. A driving gear with 28 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: 28T · Driven: 14T
6. 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
7. A driving gear with 108 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: 108T · Driven: 27T
8. A driving gear with 45 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: 45T · Driven: 15T
9. 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
10. A driving gear with 78 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: 78T · Driven: 13T
11. A driving gear with 189 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: 189T · Driven: 27T
12. A driving gear with 132 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: 132T · Driven: 22T
12 questions · Seed 48 · 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 39 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?
3
Rotations of driven gear = 39 ÷ 13 = 3.
3. A driving gear with 85 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?
5
Rotations of driven gear = 85 ÷ 17 = 5.
4. A driving gear with 208 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?
8
Rotations of driven gear = 208 ÷ 26 = 8.
5. A driving gear with 28 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?
2
Rotations of driven gear = 28 ÷ 14 = 2.
6. 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.
7. A driving gear with 108 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?
4
Rotations of driven gear = 108 ÷ 27 = 4.
8. A driving gear with 45 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?
3
Rotations of driven gear = 45 ÷ 15 = 3.
9. 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.
10. A driving gear with 78 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?
6
Rotations of driven gear = 78 ÷ 13 = 6.
11. A driving gear with 189 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?
7
Rotations of driven gear = 189 ÷ 27 = 7.
12. A driving gear with 132 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?
6
Rotations of driven gear = 132 ÷ 22 = 6.
12 questions · Seed 48 · 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 39 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: 39T · Driven: 13T
3. A driving gear with 85 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: 85T · Driven: 17T
4. A driving gear with 208 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: 208T · Driven: 26T
5. A driving gear with 28 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: 28T · Driven: 14T
6. 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
7. A driving gear with 108 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: 108T · Driven: 27T
8. A driving gear with 45 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: 45T · Driven: 15T
9. 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
10. A driving gear with 78 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: 78T · Driven: 13T
11. A driving gear with 189 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: 189T · Driven: 27T
12. A driving gear with 132 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: 132T · Driven: 22T
12 questions · Seed 48 · 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 39 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?
3
Rotations of driven gear = 39 ÷ 13 = 3.
3. A driving gear with 85 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?
5
Rotations of driven gear = 85 ÷ 17 = 5.
4. A driving gear with 208 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?
8
Rotations of driven gear = 208 ÷ 26 = 8.
5. A driving gear with 28 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?
2
Rotations of driven gear = 28 ÷ 14 = 2.
6. 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.
7. A driving gear with 108 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?
4
Rotations of driven gear = 108 ÷ 27 = 4.
8. A driving gear with 45 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?
3
Rotations of driven gear = 45 ÷ 15 = 3.
9. 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.
10. A driving gear with 78 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?
6
Rotations of driven gear = 78 ÷ 13 = 6.
11. A driving gear with 189 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?
7
Rotations of driven gear = 189 ÷ 27 = 7.
12. A driving gear with 132 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?
6
Rotations of driven gear = 132 ÷ 22 = 6.
12 questions · Seed 48 · Age guidance, not curriculum certification