Chapter 1

If 2 cookies cost \(y\) dollars, how many dollars do \(x\) cookies cost? (A) \(2 x y\) (B) \(\frac{x y}{2}\) (C) \(\frac{2 x}{y}\) (D) \(\frac{2 y}{x}\)

The square root of 73 lies between which two integers? (Note: You may not use a calculator.) (A) 6 and 7 (B) 7 and 8 (C) 8 and 9 (D) 9 and 10

If two sides of a triangle are 10.2 and 5.8 inches long, which of the following cannot be the length of the other side? (A) 4.3 inches (B) 5.8 inches (C) 11.7 inches (D) 15.2 inches

Which of the following rectangular metal boxes can hold the most dice if each die has a volume of one cubic inch and the lid of the box fits tightly? (A) 9 inches x 15 inches x 11 inches (B) 20 inches x 7.5 inches x 10 inches (C) 12.5 inches x 7.5 inches x 16.5 inches (D) 20 inches x 7.5 inches x 10.5 inches

If \(\frac{x}{y} \cdot \frac{y}{z} \cdot \frac{z}{w} \cdot p=1\), which of the following represents the value of \(p\) ? (A) 1 (B) \(\frac{x}{w}\) (C) \(\frac{w}{x}\) (D) \(\frac{1}{p}\)

If \(w=x\) and \(yx+z\) B) \(w yx-z\) D) \(w-x

Regular tickets to a concert cost \(25 each, and VIP tickets cost \)45 each. The concert hall sold a total of 270 tickets and made $7,650 on ticket sales. The number of VIP tickets sold was __________, and the number of regular tickets sold was __________.

Simplify the following expression: \(3^4+3^4+3^4\) (A) \(3^5\) (B) \(9^{12}\) (C) \(3^{12}\) (D) \(3^{64}\)

A cube with 3-inch sides is painted blue and then cut into 27 smaller cubes with 1-inch sides. How many of the new smaller cubes have exactly two faces that are painted blue?

The lengths of the legs of a right triangle are 4 inches and 5 inches, respectively. What is the length of the hypotenuse? (A) 3 inches (B) 9 inches (C) inches (D) 41 inches

Two years ago, Sammy was 5 years younger than Michael is today. f Michael is currently \(M\) years old, how old will Sammy be 10 years from now? A) \(M-5\) B) \(M+2\) C) \(M+7\)

\(3 \frac{1}{10}+1 \frac{11}{100}+2 \frac{111}{1,000}=\) (Note: You may not use a calculator.) (A) \(6.111\) (B) \(6.123\) (C) \(6.321\) (D) \(6.11111\)

Mr. Burke’s class has twice as many girls as boys. If half of the boys and a quarter of the girls are in the chess club, what is the ratio of girls to boys who are in the chess club? (A) 4:1 (B) 2:1 (C) 1:1 (D) 1:2

Beans are sold in small or large cylindrical cans. The small can has a diameter of 4 inches and a height of 10 inches and costs \(3.50. The big can has a diameter of 8 inches and a height of 5 inches and costs \)6.50. Which is a better buy? (A) The small can (B) The large can (C) Both have the same value (D) Not enough information

What was the average annual increase for imports (in Rs.) for the six years shown in the chart? (A) 7 billion (B) 8.4 billion (C) 11 billion (D) 42 billion

Two square rugs have a combined area of 20 square meters. If the area of the large rug is four times as large as the area of the small rug, what is the perimeter of the smaller rug? (A) 2 meters (B) 4 meters (C) 8 meters (D) 16 meters

Forty percent of the students in Dr. Donnelly’s math class received a grade of A. If 10 students received an A, how many students are in Dr. Donnelly’s math class? (A) 4 students (B) 14 students (C) 22 students (D) 25 students

What is the acute angle between the hands of a clock when it is exactly 10 p.m.? (A) 30° (B) 45° (C) 60° (D) 75°