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Science Bowl Sample Questions : Mathematics

11. A person with lung cancer is given an MRI. Four radiologists examine each MRI independently. If each specialist can detect lung cancer with 80% accuracy, what is the probability that at least one of them will detect cancer in this patient:
    1. 0.998
    2. 0.01
    3. 0.25
    4. 0.8

    Answer: A

12. The Babylonian number system is base 60, which makes it:
    1. vigesimal
    2. quinary
    3. binary
    4. sexagesimal

    Answer: D

13. Which of the following is the surface area of a perfect sphere with a radius of 10 meters?
    1. 1256.7 m²
    2. 1200.5 m²
    3. 628 m²
    4. 125.7 m²

    Answer: A

14. In the hexadecimal counting system, the letter c stands for what base-10 number:
    1. 12
    2. 3
    3. 16
    4. 11

    Answer: A

15. Using an x- y coordinate axis, a parabola is represented by the equation x² = 6y. The vertex of this parabola is at what coordinate point:
    1. (0, 0)
    2. (1, 1)
    3. (1, 2)
    4. (2, 2)

    Answer: A

16. Give the range for the following six values 2, 7, 11, 19, 25, 33:

    Answer: 31

17. π radians encompass what percent of a circle?

    Answer: 50%

18. Convert 3/20 into a percentage:

    Answer: 15%

19. If in a sequence of natural numbers, starting with 2, you begin eliminating every second number after 2, then every third number after 3, then every fourth number after 4, and so on, what type of numbers will be left?

    Answer: prime numbers

20. When a quadratic function is plotted on a typical graph, it assumes what shape?

    Answer: Parabola