10 Hard SAT Math Questions (Part - 19)

Question 1 :

A 180 gram metal alloy is 50% aluminum. It contains a metal alloy that is 30% aluminum and a second metal alloy made up of 60% aluminum. What is the mass of the second metal alloy?

Answer :

Question 2 :

In the given figure, the hypotenuse is 64. What is the cos x?

A) √3/2

B) 1/2

C) 2√3/3

D) 2

Answer :

Question 3 :

The table shows the distribution of 88 basketball players and their positions on a basketball club. Each player is categorized in one position.

If one of the 88 players is selected at random, the probability of selecting a player who is categorized as a power forward, given the player is not categorized as a shooting guard, is 3/12. How many of these players are categorized as a center?

Answer :

Question 4 :

A rectangular pyramid has a square base with an area of 324 square meters. What is the surface area, in square meters, of one of the triangular faces if the rectangular pyramid has a volume of 4,320 cubic meters?

Answer :

Question 5 :

n^5/3 = k^2/5 and n^{4a + 1} = k, what is the value of a?

Answer :

Question 6 :

A quadratic function models the height, in feet, of an object above the ground in terms of time, in seconds, after the object is launched off an elevated surface. The model indicates that at a time of 9 seconds, the object is 294 feet above the ground. At a time of 13 seconds, the object is 310 feet above the ground. If the object was at a height of 24 feet when it was launched, what is the height, in feet, of the object above ground 18 seconds after being launched?

A) 96

B) 192

C) 222

D) 240

Answer :

Question 7 :

3x² + bx – 112 = (ax + m)(x – ℓ). Given that a, m and ℓ are integers, which of the following must be true?

A) m is a factor of b

B) a is a factor of 112

C) a is a factor of b

D) ℓ is a factor of 112

Answer :

Question 8 :

The perimeter of a right isosceles triangle is 76 + 76√2. What is the length of the hypotenuse?

Answer :

Question 9 :

The results of two random samples of votes for a proposition are given in the table. The samples were selected from the same population, and the margins of error were calculated using the same method. Which of the following is the most appropriate reason that the margin of error for sample A is greater than the margin of error for sample B?

A) Sample A had a larger sample size.

B) Sample A had a smaller sample size.

C) Sample A had a smaller number of votes that could not be recorded.

D) Sample A had a lower percent of favorable responses.

Answer :