10 Hard SAT Math Questions (Part - 31)

Question 1 :

What is the value of tan 92π/3?

A) -√3

B) -√3/3

C) √3/3

D) √3

Answer :

Question 2 :

(x + 4)² + (y - 19)² = 121

The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a ?

A) -16

B) -14

C) 11

D) 19

Answer :

Question 3 :

A right rectangular prism has a height of 9 inches. The length of the prism’s base is x inches, which is 7 inches more than the width of the prism’s base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism’s base?

A) V(x) = x(x + 9)(x + 7)

B) V(x) = x(x + 9)(x - 7)

C) V(x) = 9x(x + 7)

D) V(x) = 9x(x - 7)

Answer :

Question 4 :

Which of the following functions has(have) a minimum value at -3?

I. f(x) = -6(3)^x - 3

II. g(x) = -3(6)^x

A) I only

B) II only

C) I and II

D) Neither I nor II

Answer :

Question 5 :

The function f is defined by f(x) = ax² + bx + c, where a, b, and c are constants. The graph of y = f(x) in the xy-plane passes through the points (7, 0) and (-3, 0). If a is an integer greater than 1, which of the following could be the value of a + b?

A) -6

B) -3

C) 4

D) 5

Answer :

Question 6 :

The function g is defined by g(x) = x(x - 2)(x + 6)². The value of g(7 - w) is 0, where w is a constant. What is the sum of all possible values of w ?

Answer :

Question 7 :

In the equation above, a, b, c and d are constants. What is the value of a + b + c?

Answer :

Question 8 :

a is 540% more than b and b is 0.02% of c. If a is k% of c, then what must k equal to ?

Answer :

Question 9 :

(hx + k)(qx + z) = ax² + bx + 35

For the expression above, h, k, q and z are all integer constants. Which of the following must be an integer?

I. 35/k

II. b

III. – a/q

A) I and II only

B) II and III only

C) I and III only

D) I, II and III

Answer :

Question 10 :

f(x) = –3x² + bx + c

In the given quadratic function, b and c are constants. The graph of y = f(x) in the xy-plane is a parabola that has a vertex at the point (h, k), where h and k are constants. If f(–4) = f(8), and the quadratic function has x-interceptsat (r, 0) and (s, 0), which of the following must be true?