10 Hard SAT Math Questions
(Part - 2)

Question 1 :

For the exponential function g, the value of g(3) is q, where q is a constant. Which of the following equivalent forms of the function g shows the value of q as the coefficient or the base?

A) g(x) = 27(1.2)^x^{+ 3}

B) g(x) = 64(1.2)^x^{- 1}

C) g(x) = 172(1.2)^x

D) g(x) = 1036(1.2)^x^{– 3}

Answer :

Question 2 :

The positive number a is 520% of the number b, and a is 65% of the number c. If c is p% of b, which of the following is the value of p?

A) 3.38

B) 8

C) 338

D) 800

Answer :

Question 3 :

Let f(x) = 42(a/21)^{x + b} + c.

How many times does the graph of the given function in the xy-plane cross the x-axis, where a, b and c are integer constants such that a > 21, b < 0 and c < b?

A) Zero

B) Once

C) Twice

D) Three

Answer :

Question 4 :

x² + 10x + y² + 12y – 723 = 0

In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?

Answer :

Question 5 :

A right circular cone has a volume of 2592π cubic inches, and the area of its base is 324π square inches. What is the slant height, in inches, of this cone?

Answer :

Question 6 :

The area of a triangle is equal to x² square inches. The base of the triangle is 21 – x inches, and the height of the triangle is 4 – x inches. Which of the following could be the value of x?

A) –28

B) –3

C) 1/2

D) 2

Answer :

Question 7 :

The table gives the volume of two similar cylinders. If the radius of cylinder A is 6 cm, what is the value of r – s?

volume = πr²h

surface area = 2πr² + 2πrh

Answer :

Question 8 :

In triangle ABC, angle C is a right angle, point D lies on AB, point E lies on BC, and DE is parallel to AC. If the length of AB is 39 units, DE is 8 units, the length of AC is greater than the length of BC, and the area of the triangle ABC is 270 square units, what is the length of BE, in units?