## ROUND 1 |
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[1] | The edges of a rectangular box are 3, 4, and 5 inches, respectively. What is the surface area of the box?Ans. 94 sq. in. |
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[2] | Factor completely the polynomial 4 x2 + x - 3.Ans. (4x - 3)(x +1) |
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[3] | A trapezoid has bases of lengths 4 and 6, respectively. If its height is 5, what is its area?Ans. 25 |
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[4] | What is the probability of randomly picking, without replacement, 2 red balls out of a bin of 4 red and 5 white balls?Ans. 1/6 |
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[5] | What is the sum of the odd numbers from 1 to 19, inclusive?Ans. 100 |
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[6] | What is the highest power of 3 that divides 10! ?Ans. 4 |
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[7] | What is the area of the triangle bounded by the coordinate axes and the line y = x + 4?Ans. 8 |
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[8] | How many faces has a tetrahedron?Ans. 4 |
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[9] | What is the length of the hypotenuse of the right triangle with legs of length 2 and 4?Ans. 2 |
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[10] | Who is credited with the discovery of gravity?Ans. Isaac Newton |
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[11] | Which is larger, pi/2, 2e/3, or the square root of 2?Ans. 2e/3 |
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[12] | Who is famous for giving the first accurate mathematical model of our solar system, and in what century was he born?Ans. Johannes Kepler, 16th century |
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[13] | An open box of length L, width W, and height H is to be constructed. The square foot cost of the material for the base is $.60 and the material for the sides is $.20. Express the cost in terms of L if W = 2H and L = 2W.Ans. Cost = .315 L^{2} dollars |
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[14] | QuestionAns. |
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[15] | QuestionAns. |
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[17] | QuestionAns. |