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Standardized Tests Math and Science Practice

ACT Quiz #4

Question 1: What is the length of the transverse diameter of the following ellipse?
x2/49 + y2/19 = 1

Question 2: Mr Jones plans to drive 660 miles at an average speed of 60 miles/hour. How many miles per hour faster needs he to average, while driving, to reduce his total time by 1 hour?

Question 3: If AC and BD are the diagonals of the ABCD rectangle, what is the ratio between the area of triangle EDC and the area of triangle EBC?

Question 4: If a is an integer chosen randomly from {3, 4, 5, 9} and b is an integer chosen randomly from {3, 8, 12, 15}, what is the probability that a/b is an integer?

Question 5:

2·m - n = 4
m + 2·n = 12

Column A Column B
(m + n)2 61

Question 6: The edges of a cube are each 4 inches long. What is the surface area, in square inches, of this cube?

Question #7: In triangle ABC, MN is parallel to BC and AM/AB = 2/3. What is the ratio between the area of triangle AMN and the area of triangle ABC?

Question 8: In the standard (x, y) plane, the line described by the equation y = mx + n intersects the y axis at a higher point than the line y = ax + b. Which of the following must be true?

Question #9: If a, b and c are the sides of any triangle, which of the following inequalities is not true?

Question 10: For any x such that 0 < x < ¶/2, the expression (1 - sin2x)/cos(x) + (1 - cos2x)/sin(x) is equivalent to:


Review the correct answers here.