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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 32 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: 32T · Driven: 16T
2. A driving gear with 126 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 126T · Driven: 21T
3. A driving gear with 105 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 105T · Driven: 21T
4. 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
5. 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
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 54 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: 54T · Driven: 27T
8. A driving gear with 88 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: 88T · Driven: 11T
9. A driving gear with 54 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: 54T · Driven: 9T
10. 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
11. A driving gear with 80 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: 80T · Driven: 16T
12. 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 questions · Seed 42 · 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 32 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?
2
Rotations of driven gear = 32 ÷ 16 = 2.
2. A driving gear with 126 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 126 ÷ 21 = 6.
3. A driving gear with 105 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 105 ÷ 21 = 5.
4. 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.
5. 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.
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 54 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?
2
Rotations of driven gear = 54 ÷ 27 = 2.
8. A driving gear with 88 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?
8
Rotations of driven gear = 88 ÷ 11 = 8.
9. A driving gear with 54 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?
6
Rotations of driven gear = 54 ÷ 9 = 6.
10. 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.
11. A driving gear with 80 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?
5
Rotations of driven gear = 80 ÷ 16 = 5.
12. 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 questions · Seed 42 · 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 32 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: 32T · Driven: 16T
2. A driving gear with 126 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 126T · Driven: 21T
3. A driving gear with 105 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 105T · Driven: 21T
4. 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
5. 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
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 54 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: 54T · Driven: 27T
8. A driving gear with 88 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: 88T · Driven: 11T
9. A driving gear with 54 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: 54T · Driven: 9T
10. 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
11. A driving gear with 80 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: 80T · Driven: 16T
12. 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 questions · Seed 42 · 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 32 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?
2
Rotations of driven gear = 32 ÷ 16 = 2.
2. A driving gear with 126 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
6
Rotations of driven gear = 126 ÷ 21 = 6.
3. A driving gear with 105 teeth meshes with a driven gear that has 21 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
5
Rotations of driven gear = 105 ÷ 21 = 5.
4. 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.
5. 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.
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 54 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?
2
Rotations of driven gear = 54 ÷ 27 = 2.
8. A driving gear with 88 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?
8
Rotations of driven gear = 88 ÷ 11 = 8.
9. A driving gear with 54 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?
6
Rotations of driven gear = 54 ÷ 9 = 6.
10. 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.
11. A driving gear with 80 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?
5
Rotations of driven gear = 80 ÷ 16 = 5.
12. 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 questions · Seed 42 · Age guidance, not curriculum certification