Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.
Worksheet StudioPractice pack · Ages 10-12
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 147 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: 147T · Driven: 21T
2. 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
3. A driving gear with 200 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: 200T · Driven: 25T
4. 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
5. A driving gear with 18 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: 18T · Driven: 9T
6. A driving gear with 50 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: 50T · Driven: 25T
7. A driving gear with 64 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: 64T · Driven: 16T
8. A driving gear with 51 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: 51T · Driven: 17T
9. 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
10. A driving gear with 138 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: 138T · Driven: 23T
11. A driving gear with 96 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: 96T · Driven: 24T
12. A driving gear with 112 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: 112T · Driven: 14T
12 questions · Seed 43 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 147 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?
7
Rotations of driven gear = 147 ÷ 21 = 7.
2. 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.
3. A driving gear with 200 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?
8
Rotations of driven gear = 200 ÷ 25 = 8.
4. 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.
5. A driving gear with 18 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?
2
Rotations of driven gear = 18 ÷ 9 = 2.
6. A driving gear with 50 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?
2
Rotations of driven gear = 50 ÷ 25 = 2.
7. A driving gear with 64 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?
4
Rotations of driven gear = 64 ÷ 16 = 4.
8. A driving gear with 51 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?
3
Rotations of driven gear = 51 ÷ 17 = 3.
9. 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.
10. A driving gear with 138 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?
6
Rotations of driven gear = 138 ÷ 23 = 6.
11. A driving gear with 96 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?
4
Rotations of driven gear = 96 ÷ 24 = 4.
12. A driving gear with 112 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?
8
Rotations of driven gear = 112 ÷ 14 = 8.
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Gears, teeth & rotations
Take your time. Show your thinking.
1. A driving gear with 147 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: 147T · Driven: 21T
2. 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
3. A driving gear with 200 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: 200T · Driven: 25T
4. 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
5. A driving gear with 18 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: 18T · Driven: 9T
6. A driving gear with 50 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: 50T · Driven: 25T
7. A driving gear with 64 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: 64T · Driven: 16T
8. A driving gear with 51 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: 51T · Driven: 17T
9. 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
10. A driving gear with 138 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: 138T · Driven: 23T
11. A driving gear with 96 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: 96T · Driven: 24T
12. A driving gear with 112 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: 112T · Driven: 14T
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Gears, teeth & rotations
Answers and reasoning. Review before teaching.
1. A driving gear with 147 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?
7
Rotations of driven gear = 147 ÷ 21 = 7.
2. 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.
3. A driving gear with 200 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?
8
Rotations of driven gear = 200 ÷ 25 = 8.
4. 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.
5. A driving gear with 18 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?
2
Rotations of driven gear = 18 ÷ 9 = 2.
6. A driving gear with 50 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?
2
Rotations of driven gear = 50 ÷ 25 = 2.
7. A driving gear with 64 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?
4
Rotations of driven gear = 64 ÷ 16 = 4.
8. A driving gear with 51 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?
3
Rotations of driven gear = 51 ÷ 17 = 3.
9. 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.
10. A driving gear with 138 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?
6
Rotations of driven gear = 138 ÷ 23 = 6.
11. A driving gear with 96 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?
4
Rotations of driven gear = 96 ÷ 24 = 4.
12. A driving gear with 112 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?
8
Rotations of driven gear = 112 ÷ 14 = 8.
12 questions · Seed 43 · Age guidance, not curriculum certification