10 Hard SAT Math Questions (Part - 27)

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Question 1 :

An equilateral triangle is inscribed in a circle with a diameter of 16. Which of the following gives the area of the equilateral triangle?

A) 6√3

B) 24√3

C) 32√3

D) 48√3

Answer :

Question 2 :

The given equation ax² + 88x + c = 0, where a and c are constants has no real solutions and a factor of kx + j. What is the least possible value of ac?

Answer :

Question 3 :

f(t) = 34,000(1.07)^6t

The given function f models the balance of an investment account, in dollars, t years after it is opened. Which statement is the best interpretation of (1.07)^6t?

A) Every 6 years, the balance increases by 2,380 dollars.

B) Every 6 years, the balance increases by 7% of the previous 6 years balance.

C) Every 2 months, the balance increases by 2,380 dollars.

D) Every 2 months, the balance increases by 7% of the previous 2 months balance.

Answer :

Question 4 :

The quadratic function a(x + 4.5)² - d can be rewritten as (x - 9.5)(x + c). If a is equal to 1, what is the value of d?

Answer :

Question 5 :

g(x) is a quadratic function. In the xy-plane, the graph of y = g(x) passes through the points (12, 540) and (16, 908). If g(0) = 12, what is the value of g(24)?

Answer :

Question 6 :

The surface area of rectangle prism A is 312 m². The surface area of area of rectangle prism B is 11,232 m². Rectangular prism A has a volume of 224 m³. If both rectangular prisms are similar, what is the volume of rectangular prism B?

Answer :

Question 7 :

The given figure shows lines a and b intersected by line k. Which of the following is sufficient to prove that a and b are parallel?

A) 180 – y = x

B) x = 180 – z

C) y + z = 180 – x

D) 180 – z = y

Answer :

Question 8 :

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 (13, 0) and (-6, 0). Which of the following is the value of a + b in terms of a?