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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 210 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: 210T · Driven: 30T
2. A driving gear with 48 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: 48T · Driven: 16T
3. 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
4. A driving gear with 36 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: 36T · Driven: 12T
5. 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
6. A driving gear with 70 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: 70T · Driven: 14T
7. A driving gear with 120 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: 120T · Driven: 15T
8. A driving gear with 180 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: 180T · Driven: 30T
9. A driving gear with 80 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: 80T · Driven: 10T
10. A driving gear with 116 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: 116T · Driven: 29T
11. A driving gear with 44 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: 44T · Driven: 11T
12. 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
12 questions · Seed 49 · 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 210 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?
7
Rotations of driven gear = 210 ÷ 30 = 7.
2. A driving gear with 48 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?
3
Rotations of driven gear = 48 ÷ 16 = 3.
3. 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.
4. A driving gear with 36 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?
3
Rotations of driven gear = 36 ÷ 12 = 3.
5. 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.
6. A driving gear with 70 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?
5
Rotations of driven gear = 70 ÷ 14 = 5.
7. A driving gear with 120 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?
8
Rotations of driven gear = 120 ÷ 15 = 8.
8. A driving gear with 180 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?
6
Rotations of driven gear = 180 ÷ 30 = 6.
9. A driving gear with 80 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?
8
Rotations of driven gear = 80 ÷ 10 = 8.
10. A driving gear with 116 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?
4
Rotations of driven gear = 116 ÷ 29 = 4.
11. A driving gear with 44 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?
4
Rotations of driven gear = 44 ÷ 11 = 4.
12. 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.
12 questions · Seed 49 · 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 210 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: 210T · Driven: 30T
2. A driving gear with 48 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: 48T · Driven: 16T
3. 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
4. A driving gear with 36 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: 36T · Driven: 12T
5. 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
6. A driving gear with 70 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: 70T · Driven: 14T
7. A driving gear with 120 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: 120T · Driven: 15T
8. A driving gear with 180 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: 180T · Driven: 30T
9. A driving gear with 80 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: 80T · Driven: 10T
10. A driving gear with 116 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: 116T · Driven: 29T
11. A driving gear with 44 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: 44T · Driven: 11T
12. 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
12 questions · Seed 49 · 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 210 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?
7
Rotations of driven gear = 210 ÷ 30 = 7.
2. A driving gear with 48 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?
3
Rotations of driven gear = 48 ÷ 16 = 3.
3. 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.
4. A driving gear with 36 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?
3
Rotations of driven gear = 36 ÷ 12 = 3.
5. 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.
6. A driving gear with 70 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?
5
Rotations of driven gear = 70 ÷ 14 = 5.
7. A driving gear with 120 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?
8
Rotations of driven gear = 120 ÷ 15 = 8.
8. A driving gear with 180 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?
6
Rotations of driven gear = 180 ÷ 30 = 6.
9. A driving gear with 80 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?
8
Rotations of driven gear = 80 ÷ 10 = 8.
10. A driving gear with 116 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?
4
Rotations of driven gear = 116 ÷ 29 = 4.
11. A driving gear with 44 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?
4
Rotations of driven gear = 44 ÷ 11 = 4.
12. 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.
12 questions · Seed 49 · Age guidance, not curriculum certification