10 Hard SAT Math Questions (Part - 12)

Question 1 :

One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

7x = 105y - 133

A)  x = 15y

B)  (1/7)x = 15y

C)  x = 15y - 19

D)  (1/7)x = 15y - 19

Answer :

Question 2 :

The radius and height of a cylinder are in the ratio 5 : 7 and its lateral surface area is 1750π square centimeters. What is the volume of the cyinlder, in cubic centimeters? Round your answer to the nearest hundredth.

Answer :

Question 3 :

2x² + 8x – m³ = 0

In the quadratic equation above, m is a constant. If the roots of the equation are equal, then, what is the value of m?

A)  -3

B)  -1

C)  1

D)  -2

Answer :

Question 4 :

The sides of an equilateral triangle are shortened by 12 units, 13 units, and 14 units respectively and a right triangle is formed. Find the length of the side of equilateral triangle.

Answer :

Question 5 :

The quadratic function ax² + 200x + c has at least one real solution. What is the largest possible value of ac?

Answer :

Question 6 :

A polygon has exactly 97 sides. If the measure of each of the 97 interior angles of this polygon is (180p)°, what is the value of p?

Answer :

Question 7 :

A certain town has an area of 5.48 square miles. Which of the following is closest to the area, in square yards, of this town? ( 1 mile = 1,760 yards)

A)  552

B)  964

C)  9,645

D)  16,974,848

Answer :

Question 8 :

In triangle ABC, the sum of the measures of angle A and angle B is 90 degrees. The value of sin (A) = 2√7/8. What is the value of cos (B)?

A)  2√7/8

B)  2√7/6

C)  6√2/14

D) 8/23√2

Answer :

Question 9 :

Quadrilateral ABCD has sides AB = AD and BC = CD, where AB = 7 and CD = 20. The two diagonals, AC and BD intersect at point G and both GB and GD has a length of 2. The length of AC can be expressed as √p + √w. Find the value of p + w.

Answer :

Question 10 :

What is the value of k/25, if the given equation has only one solution?

25|x - 4| = k

A)  -5 only

B)  5 only

C)  5 or -5

D)  0

Answer :

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