The 15 Hardest SAT Math Questions Ever

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Question 1 :

A(t) = 2400(1.75)^6t/5

The given function A models the amount of money (in dollars) in an investment account t years after the account was opened. How long does it take the amount of money to increase to $4200, in months?

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Question 2 :

5x – 3y = 8

–40x + 24y = –64

For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

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Question 3 :

In triangle XYZ, angle Y is a right angle, the measure of angle X is 34°, and the length of XY is 40. If the area, in square units, of triangle XYZ can be expressed as ktan 34°, where k is a constant, what is the value of k?

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Question 4 :

In the given equation, s and r are constants, and s > 0. If the equation has infinitely many solutions, what is the value of s?

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Question 5 :

The table shows three values of x and their corresponding values of y, where s is a constant. There is a linear relationship between x and y. Which of the following equations represents this relationship?

A) –9x + sy = –62

B) sx – 9y = –62

C) –sx + 9y = –62s

D) –9x + sy = –62s

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Question 6 :

In geometry, a square pyramid is a pyramid that has a square base and four lateral faces. Square pyramid A is similar to Square pyramid B. The table gives the volumes, in cubic inches, of the two pyramids. If the height of Square pyramid A is 8 inches, what is the perimeter of the square base of Square pyramid B, in inches? (Round your answer to the nearest tenth of an inch).

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Question 7 :

Two data sets, each containing 20 integers are summarized in the histograms shown. For the histogram, the first interval represents the frequency of integers greater than or equal to 20, but less than 30. The second interval represents the frequency of integers greater than or equal to 30, but less than 40 and so on. The mean of Data Set A is equal to a. The mean of Data Set B is equal to b. What is the smallest possible value of b/a?

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Question 8 :

⁴√x³ ⋅ ¹²√x⁵

The given expression is equivalent to ^m√xⁿ, where m and n are positive constants each less than 10 and x is greater than 0. What is the value of m/n?

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Question 9 :

A linear function is given by ax + by + c = 0 and a > 0, b < 0 and c > 0. Which of the following graphs best represents the graph of the function?

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Question 10 :

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Question 11 :

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?

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Question 12 :

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

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Question 13 :

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

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Question 14 :

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.