10 Hard SAT Math Questions (Part - 33)

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Question 1 :

In the equation above, k is a constant. If the equation has one solution, what is the value of k?

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Question 2 :

The perimeter of a right isosceles triangle is 256 + 256√2. What is the length of the hypotenuse?

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Question 3 :

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (7x − 80)°. Which of the following could NOT be the sum of the measures of any two of these angles?

A) (14x − 160)°

B) (−14x + 520)°

C) (14x – 520)°

D) 180°

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Question 4 :

A data set contains consecutive positive integers. The range of the data set is 30 and the largest integer in the data set is seven times the smallest one. If one of the integers is selected at random from the data set, what is the probability that the selected integer is a multiple of both 4 and 5?

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Question 5 :

Length of a rectangle is half of the square of its width. And also, the length of the rectangle is 8 more than 3 times the width. What is the area of rectangle?

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Question 6 :

(4x + 4)(ax – 1) – x² + 4

In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b?

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Question 7 :

0 = (x – k)(7x + t) – (x – k)

In the given equation, k and t are positive constants. A solution to the equation is –22/7. What is the value of t?

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Question 8 :

If (x + y)² = 86 and xy = 12, what is the value of x² + y²?

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Question 9 :

(x – p)² + (y – q)² + (z + r)² = 0

In the equation above, p, q and r are constants. If x = 5, y = 2 and z = 3, what is the value of p + q + r?

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Question 10 :

The mass of object X is 300% of the mass of object Y, and the mass of object X is 0.05% of the mass of object Z. If the mass of object Z is q% of the mass of object Y, what is the value of q/1000?

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