10 Hard SAT Math Questions (Part - 17)

Question 1 :

The expression above is equivalent to 5^kx, where k is a constant. What is the value of k?

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Question 2 :

The table above shows some values for the function f. If f is a linear function, what is the value of a + b?

A) 24

B) 36

C) 48

D) 60

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Question 3 :

A regular hexagonal prism has a volume of 350 cubic inches and a height of 14 inches. What is the perimeter of each of the hexagonal bases, in inches? Round your answer to the nearest tenth of an inch.

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Question 4 :

In the given system of equations, p and r are constants. If the system has no solution, which of the following must be true?

I. p = 19/4

II. p = -10/3

III. r = -30

IV. 3r ≠ 8

A) I and III

B) II and IV

C) III and IV

D) I and IV

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Question 5 :

√48 ⁵√81

The expression above can rewritten in the form a ^b√c, where a, b and c are positive integer constants. What is the smallest possible value of a + b + c?

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Question 6 :

In the given pair of equations, a, b, c, d and e are constants. The pair of equations represent two perpendicular lines in the xy-plane. If 0 < a/b < 1, which of the following must be true?

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Question 7 :

Among the 10^th graders at a school, 40% of the students are Red Sox fans. Among those Red Sox fans, 20% are also Celtics fans. What percent of the 10^th graders at school are both Red Sox fans and Celtics fans?

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Question 8 :

The population of trees in a forest has been decreasing by 6 percent every 4 years. The population at the beginning of 2015 was estimated to be 14,000. If P represents the population of trees t years after 2015, which of the following equations gives the population of trees over time?

A) P = 14,000(0.06)^t/4

B) P = 14,000 + 0.94(4t)

C) P = 14,000(0.94)⁴^t

D) P = 14,000(0.94)^t/4

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Question 9 :

The radius of a circle is increased by 25%. By what percent does the area of the circle increase?

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Question 10 :

The ratio of the number of boys to the number of girls in a school of 720 students is 3 : 5. If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the number of boys to the number of girls may change to 2 : 3.

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