10 Hard SAT Math Questions (Part - 36)

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Question 1 :

What is the value of x in the equation above?

Answer :

Question 2 :

For the quadratic function y = f(x), (x – 3) is a factor and x = k is a positive zero. If (5, c) is the maximum point on the graph of y = f(x), what is the value of k?

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Question 3 :

Which of the following expresses a in terms of b and c?

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Question 4 :

The function f is defined by f(2x – 1) = 4x + 3 and the function g is defined by g(x) = f(x) – 1. What is the value of g(10)?

Answer :

Question 5 :

The line shown in the xy-plane passes through the point (0, 0) and the point (a, b), where a > b. Which of the following could be the slope of this line?

A) -1/2

B) 3/4

C) 1

D) 3/2

Answer :

Question 6 :

A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is 1,089√3 square units. What is the length, in units, of the diameter of the circle?

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Question 7 :

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 54 square units. What is the area, in square units, of EFGH?

A) 9

B) 36

C) 324

D) 1,944

Answer :

Question 8 :

P(t) = 260(1.04)^(6/4)^t

The function P models the population, in thousands, of a certain city t years after 2003. According to the model, the population is predicted to increase by 4% every n months. What is the value of n?

A) 8

B) 12

C) 18

D) 72

Answer :

Question 9 :

A circle in the xy-plane has its center at (-1, 1). Line t is tangent to this circle at the point (5, -4). Which of the following points also lies on line t?

A) (0, 6/5)

B) (4, 7)

C) (10, 2)

D) (11, 1)

Answer :

Question 10 :

For an electric field passing through a flat surface perpendicular to it, the electric flux of the electric field through the surface is the product of the electric field’s strength and the area of the surface. A certain flat surface consists of two adjacent squares, where the side length, in meters, of the larger square is 3 times the side length, in meters, of the smaller square. An electric field with strength 29.00 volts per meter passes uniformly through this surface, which is perpendicular to the electric field. If the total electric flux of the electric field through this surface is 4,640 volts · meters, what is the electric flux, in volts · meters, of the electric field through the larger square?

Answer :