Archimedes and the Door of Science Test | Final Test - Easy

Jeanne Bendick
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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. Before Archimedes, what did people use to figure the area of a circle?
(a) Triangles inside and outside the circle.
(b) Octagons inside and outside the circle.
(c) Squares inside and outside the circle.
(d) Pentagons inside and outside the circle.

2. In what book did Archimedes give mathematicians a logical way to start any problem and an orderly way of setting things down?
(a) Ostomachion.
(b) Method.
(c) The Sand Reckoner.
(d) On Floating Bodies.

3. Which of these works of Archimedes exists today?
(a) On Sphere Making.
(b) Mechanics.
(c) On Levers.
(d) Parallel Lines.

4. How many of Hippocrates' men did Marcellus kill?
(a) 5,500.
(b) 7,500.
(c) 8,000.
(d) 6,000.

5. What is the solid of a triangle?
(a) Sphere.
(b) Cone.
(c) Box.
(d) Cube.

6. If two weights weigh the same, where will they balance?
(a) In the center.
(b) At equal distances.
(c) At eight inches apart.
(d) At two inches apart.

7. How many galleys did the Roman general have who attacked Syracuse?
(a) 50.
(b) 70.
(c) 60.
(d) 40.

8. How long did Marcellus hold Syracuse in siege.
(a) Three years.
(b) Two years.
(c) One year.
(d) Four years.

9. What was the name of the largest number for which the Greeks had a name?
(a) Sigma.
(b) Omicron.
(c) Myriad.
(d) Kappa.

10. What books did Archimedes send to friends in Alexandria with deliberate errors?
(a) The Quadrature of the Parabola.
(b) On the Measurement of a Circle.
(c) On Conoids and Spheroids.
(d) The Sphere and the Cylinder.

11. With Archimedes' polygons, how much less was the circumference than the diameter?
(a) 5 1/8 times.
(b) 2 1/2 times.
(c) 3 1/7 times.
(d) 4 1/3 times.

12. How did Marcellus feel when he watched his soldiers conquer Syracuse?
(a) Sad.
(b) Frustrated.
(c) Delighted.
(d) Proud.

13. For which type of science were Archimedes' demonstrations of centers of gravity the foundation?
(a) Quantum physics.
(b) Statistical mechanics.
(c) Thermodynamics.
(d) Theoretical mechanics.

14. When do most people believe that the first real understanding of the laws of gravitation began?
(a) 17th century.
(b) 300 A.D.
(c) 300 B.C.
(d) 12th century.

15. What is a good project to learn about centers of gravity?
(a) Experiment with rulers.
(b) Make a mobile.
(c) Make a balance scale.
(d) Experiment with spoons.

Short Answer Questions

1. What mathematics is needed to figure the cattle problem?

2. If you took a sphere and made a cylinder whose base was the greatest circle of the sphere and whose height was the diameter of the sphere, how much space or volume would the cylinder take up compared to the sphere?

3. What does radius mean?

4. In how many books that Archimedes sent to his friends, did he make deliberate errors?

5. What does it take to cause a chain reaction in a nuclear explosion?

(see the answer keys)

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