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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 152 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: 152T · Driven: 19T
2. 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
3. A driving gear with 77 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: 77T · Driven: 11T
4. A driving gear with 56 teeth meshes with a driven gear that has 8 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 56T · Driven: 8T
5. A driving gear with 84 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: 84T · Driven: 14T
6. A driving gear with 36 teeth meshes with a driven gear that has 9 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 36T · Driven: 9T
7. A driving gear with 150 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: 150T · Driven: 25T
8. A driving gear with 216 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: 216T · Driven: 27T
9. A driving gear with 144 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: 144T · Driven: 18T
10. 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
11. A driving gear with 96 teeth meshes with a driven gear that has 16 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 96T · Driven: 16T
12. A driving gear with 154 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: 154T · Driven: 22T
12 questions · Seed 44 · 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 152 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?
8
Rotations of driven gear = 152 ÷ 19 = 8.
2. 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.
3. A driving gear with 77 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?
7
Rotations of driven gear = 77 ÷ 11 = 7.
4. A driving gear with 56 teeth meshes with a driven gear that has 8 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 56 ÷ 8 = 7.
5. A driving gear with 84 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?
6
Rotations of driven gear = 84 ÷ 14 = 6.
6. A driving gear with 36 teeth meshes with a driven gear that has 9 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
4
Rotations of driven gear = 36 ÷ 9 = 4.
7. A driving gear with 150 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?
6
Rotations of driven gear = 150 ÷ 25 = 6.
8. A driving gear with 216 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?
8
Rotations of driven gear = 216 ÷ 27 = 8.
9. A driving gear with 144 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?
8
Rotations of driven gear = 144 ÷ 18 = 8.
10. 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.
11. A driving gear with 96 teeth meshes with a driven gear that has 16 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 96 ÷ 16 = 6.
12. A driving gear with 154 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?
7
Rotations of driven gear = 154 ÷ 22 = 7.
12 questions · Seed 44 · 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 152 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: 152T · Driven: 19T
2. 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
3. A driving gear with 77 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: 77T · Driven: 11T
4. A driving gear with 56 teeth meshes with a driven gear that has 8 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 56T · Driven: 8T
5. A driving gear with 84 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: 84T · Driven: 14T
6. A driving gear with 36 teeth meshes with a driven gear that has 9 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 36T · Driven: 9T
7. A driving gear with 150 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: 150T · Driven: 25T
8. A driving gear with 216 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: 216T · Driven: 27T
9. A driving gear with 144 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: 144T · Driven: 18T
10. 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
11. A driving gear with 96 teeth meshes with a driven gear that has 16 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 96T · Driven: 16T
12. A driving gear with 154 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: 154T · Driven: 22T
12 questions · Seed 44 · 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 152 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?
8
Rotations of driven gear = 152 ÷ 19 = 8.
2. 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.
3. A driving gear with 77 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?
7
Rotations of driven gear = 77 ÷ 11 = 7.
4. A driving gear with 56 teeth meshes with a driven gear that has 8 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 56 ÷ 8 = 7.
5. A driving gear with 84 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?
6
Rotations of driven gear = 84 ÷ 14 = 6.
6. A driving gear with 36 teeth meshes with a driven gear that has 9 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
4
Rotations of driven gear = 36 ÷ 9 = 4.
7. A driving gear with 150 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?
6
Rotations of driven gear = 150 ÷ 25 = 6.
8. A driving gear with 216 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?
8
Rotations of driven gear = 216 ÷ 27 = 8.
9. A driving gear with 144 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?
8
Rotations of driven gear = 144 ÷ 18 = 8.
10. 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.
11. A driving gear with 96 teeth meshes with a driven gear that has 16 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 96 ÷ 16 = 6.
12. A driving gear with 154 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?
7
Rotations of driven gear = 154 ÷ 22 = 7.
12 questions · Seed 44 · Age guidance, not curriculum certification