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Worksheet StudioPractice pack · Ages 7-9
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 48 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: 48T · Driven: 24T
2. 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
3. A driving gear with 48 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: 48T · Driven: 8T
4. A driving gear with 144 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: 144T · Driven: 24T
5. A driving gear with 196 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 196T · Driven: 28T
6. 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
7. A driving gear with 102 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: 102T · Driven: 17T
8. A driving gear with 90 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: 90T · Driven: 30T
9. 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
10. 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
11. A driving gear with 32 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: 32T · Driven: 8T
12. A driving gear with 184 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: 184T · Driven: 23T
12 questions · Seed 46 · 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 48 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?
2
Rotations of driven gear = 48 ÷ 24 = 2.
2. 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.
3. A driving gear with 48 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?
6
Rotations of driven gear = 48 ÷ 8 = 6.
4. A driving gear with 144 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?
6
Rotations of driven gear = 144 ÷ 24 = 6.
5. A driving gear with 196 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 196 ÷ 28 = 7.
6. 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.
7. A driving gear with 102 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?
6
Rotations of driven gear = 102 ÷ 17 = 6.
8. A driving gear with 90 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?
3
Rotations of driven gear = 90 ÷ 30 = 3.
9. 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.
10. 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.
11. A driving gear with 32 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?
4
Rotations of driven gear = 32 ÷ 8 = 4.
12. A driving gear with 184 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?
8
Rotations of driven gear = 184 ÷ 23 = 8.
12 questions · Seed 46 · 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 48 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: 48T · Driven: 24T
2. 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
3. A driving gear with 48 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: 48T · Driven: 8T
4. A driving gear with 144 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: 144T · Driven: 24T
5. A driving gear with 196 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
Driver: 196T · Driven: 28T
6. 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
7. A driving gear with 102 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: 102T · Driven: 17T
8. A driving gear with 90 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: 90T · Driven: 30T
9. 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
10. 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
11. A driving gear with 32 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: 32T · Driven: 8T
12. A driving gear with 184 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: 184T · Driven: 23T
12 questions · Seed 46 · 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 48 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?
2
Rotations of driven gear = 48 ÷ 24 = 2.
2. 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.
3. A driving gear with 48 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?
6
Rotations of driven gear = 48 ÷ 8 = 6.
4. A driving gear with 144 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?
6
Rotations of driven gear = 144 ÷ 24 = 6.
5. A driving gear with 196 teeth meshes with a driven gear that has 28 teeth. How many full rotations does the driven gear make for 1 full rotation of the driving gear?
7
Rotations of driven gear = 196 ÷ 28 = 7.
6. 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.
7. A driving gear with 102 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?
6
Rotations of driven gear = 102 ÷ 17 = 6.
8. A driving gear with 90 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?
3
Rotations of driven gear = 90 ÷ 30 = 3.
9. 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.
10. 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.
11. A driving gear with 32 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?
4
Rotations of driven gear = 32 ÷ 8 = 4.
12. A driving gear with 184 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?
8
Rotations of driven gear = 184 ÷ 23 = 8.
12 questions · Seed 46 · Age guidance, not curriculum certification