Math (3)

Each side of the smaller square in the figure below is x inches long, and each side of the larger square is c inches longer than a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?

Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. How many different daily lunch specials are possible?

Which of the following is the sine of angle A in the right triangle below?

Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below?

How many irrational numbers are there between 1 and 6 ?

What is the value of x when 2x + 3 = 3x – 4 ?

In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve?

If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player?

Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?

1.23w = t
1.01x = t
0.99y = t
0.23z = t

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y?

What is the slope of any line parallel to the line 9x + 4y = 7?

In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

Ms. Hernandez began her math class by saying:

I’m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?

What is the 5th number Ms. Hernandez is thinking of?

Which one of the following expressions has an even integer value for all integers a and c ?

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?