Maths Practice Difficult

Math Practice Section: Hard 20 Questions 35 Minutes For questions in the Quantitative Comparison format (“Quantity A” and “Quantity B” given), the answer choices are always as follows: (A) Quantity A is greater. (B) Quantity B is greater. (C) The two quantities are equal. (D) The relationship cannot be determined from the information given. Where answer choices do not appear on Quantitative Comparison questions in this book, you should choose A, B, C or D based on the above. For questions followed by a numeric entry box | I, you are to enter your own answer in the box. For questions followed by a fraction-style numeric entry box , you are to enter your answer in the form of a fraction. You are not required to reduce fractions. For example, if the answer is —, you may enter or any equivalent fraction. 100 All numbers used are real numbers. All figures are assumed to lie in a plane unless otherwise indicated. Geometric figures are not necessarily drawn to scale. You should assume, however, that lines that appear to be straight are actually straight, points on a line are in the order shown, and all geometric objects are in the relative positions shown. Coordinate systems, such as xy-planes and number lines, as well as graphical data presentations such as bar charts, circle graphs, and line graphs, are drawn to scale. A symbol that appears more than once in a question has the same meaning throughout the question.

70° Quantity A Quantity B X 6 Quantity A Quantity B (Zé)x X 7% 7% For a group of test-takers, the scores on an aptitude test were normally distributed, had a mean of 154, and a standard deviation of 3. Quantity A Quantity B The fraction of test-takers in the l group who scored greater than 158 3 3x+5y+2z=20 6x +4z=10 Quantity A Quantity B y by itself 2

Romero Automobiles sells cars only from manufacturer X and manufacturer Y. The range of the list prices of the cars from manufacturer X is $22,000. The range of the list prices of the cars from manufacturer Y is $15,000. Quantity A 5 The range of the list prices of all Quantity B . automobiles sold by Romero $22,000 Automobiles The operation # is defined by x# = — + x. X Quantity A Quantity B 6. (4#)# 4.5 The cube above has side length of 4. Quantity A Quantity B 7. After selecting one vertex of the =~ When the cube is placed on a flat cube, the number of straight line surface, the maximum number of segments longer than 4 that can be edges of the cube that can be touching the flat surface at once.