1. What was Hippocrates's great advance to mathematics?
(a) He showed how to find the angles in a right triangle.
(b) He showed how to simplify the area of a triangle.
(c) He showed how to square a circle.
(d) He showed how to square a figure with curved sides.

2. Which of the following was NOT a field in which Isaac Newton made enormous advances?
(a) Biology.
(b) Optics.
(c) Mathematics.
(d) Physics.

3. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi was redetermined after Archimedes's death.
(b) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.
(c) The measurement of pi is a challenge that continues into modern mathematics.
(d) The measurement of pi should not have been so difficult for Archimedes to demonstrate.

4. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.

5. When was the work of these early thinkers rediscovered again in history?
(a) In the Renaissance.
(b) In the 20th century.
(c) In the Elizabethian age.
(d) In the 18th century.