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SAT Problem Solving #1

Question #1: If a > 0,b > 0, a · b = 18 and a / b = 2 then:

Question #2: The ratio of the radii of two circles is r1/r2 = 6. What is the ratio of the perimeters P1/P2 and the ratio of the areas of the two circles A1/A2?

Question #3: For any x such that 0 < x < π/2, the expression (1 - sin2x)/cos(x) + (1 - cos2x)/sin(x) is equivalent to:

Question #4: A lottery sells 1000 tickets and there is only one winning number. 200 New Jersey residents buy 2 tickets each, 300 New York residents buy 1 ticket each and the rest are sold in Connecticut. What is the probability that the wining ticket was bought in New Jersey?

Question #5: Celsius degrees can be transformed in Fahrenheit degrees by using the formula : °C=(5/9)· (°F-32). What is x, if x degrees Celsius is equal to x degrees Fahrenheit?

Question #6: In the (x,y) plane, what is the equation of the line that passes through the points (0,5) and (4,0)? Question #7: A square with the side equal to √2 is inscribed in a circle. What is the area outside the square that is inside the circle?

Question #8: What is the value of (x + 2y) 2 if x 2 + 4 · y 2 = 2 and x · y = 3

Question #9: What is the value of the median of an equilateral triangle with all sides equal to 5?

Question #10: The median and the average of the numbers -12, 4, -8, 10, 2, 2, 0, -4 and 2 are: