Sample Round

ROUND 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.
 Factor completely the polynomial 4 x2 + x - 3.
Ans. (4x - 3)(x +1)
 A trapezoid has bases of lengths 4 and 6, respectively. If its height is 5, what is its area?
Ans. 25
 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
 What is the sum of the odd numbers from 1 to 19, inclusive?
Ans. 100
 What is the highest power of 3 that divides 10! ?
Ans. 4
 What is the area of the triangle bounded by the coordinate axes and the line y = x + 4?
Ans. 8
 How many faces has a tetrahedron?
Ans. 4
 What is the length of the hypotenuse of the right triangle with legs of length 2 and 4?
Ans. 2
 Who is credited with the discovery of gravity?
Ans. Isaac Newton
 Which is larger, pi/2, 2e/3, or the square root of 2?
Ans. 2e/3
 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
 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 L2 dollars
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