10 Hard SAT Math Questions (Part - 22)

Question 1 :

A table that weighs 348 pounds puts equal amounts of pressure on each of its 4 identical legs. If the pressure that each leg exerts on the floor is 12 pounds per square inch, what is the area, in square inches, of the bottom of each leg that is touching the floor?

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Question 2 :

In the figure below, lines a and b are parallel. What is the value of x + y?

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Question 3 :

The functions f and g are defined by the given equations, where x ≥ 0. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x ≥ 0?

I. f(x) = 232(0.4)^x^{+ 2}

II. g(x) = 232(0.4)(0.4)(0.4)^x^{- 2}

A) I only

B) II only

C) I and II

D) Neither I nor II

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Question 4 :

An equilateral triangle with side lengths of k is inscribed in a circle. Which of the following defines the radius, r, in terms of k?

A) k/2

B) k√3/6

C) k√3/3

D) k√3/2

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Question 5 :

If 2a/b = 4.25 and a/bn = 8.5, what is the value of n?

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Question 6 :

An object’s speed is increasing at a rate of 4.80 meters per second squared. What is the rate in miles per minute squared, rounded to the nearest tenth? (Use 1 mile = 1609 meters. )

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Question 7 :

An acceptable noise criterion rating for the background noise in a school classroom is 30. For a noise criterion rating of 30, the equation y = 19(0.978)^{x -}⁵⁰ + 37 gives the estimated sound pressure level, y in decibels, as a function of the octave band center frequency, x in hertz, where x ≥ 50. Which of the following is the best interpretation of 37 in this context?

A) 37 is 19 less than the estimated sound pressure level, in decibels, at an octave band frequency of 50.

B) 37 is 19 less than the estimated sound pressure level, in decibels, at an octave band frequency of 0.

C) 37 is the estimated sound pressure level, in decibels, at an octave band frequency of 50.

D) 37 is the estimated sound pressure level, in decibels, at an octave band frequency of 0.

Answer :

Question 8 :

The graph of the quadratic function y = f(x) in the xy-plane intersects the x-axis when x = 74 and x = k, where k is a constant. The maximum value of y = f(x) occurs at the point (17, m), where m is a constant. What is the value of k?