10 Hard SAT Math Questions (Part - 40)

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Question 1 :

The function N gives the estimated number of bacteria in a growth medium t hours after a study begun. According to the function, the number of bacteria is estimated to increase by 20% every k minutes. What is the value of k?

A) 45

B) 60

C) 80

D) 100

Answer :

Question 2 :

Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?

A) 43

B) 86

C) 129

D) 1,849

Answer :

Question 3 :

The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?

A) 75

B) 120

C) 195

D) 390

Answer :

Question 4 :

The number of bacteria in a growth medium is expected to increase by 140% every 1/5 hours during a period of observation. The number of bacteria in the growth medium is during a period of observation. The number of bacteria in the growth medium is estimated to be 12,000 when the period of observation begun. Which function P gives the expected number of bacteria in this growth medium t hours after the period of observation begun?

A) P(t) = 12000(1.40)^t^/5

B) P(t) = 12000(1.40)^5t

C) P(t) = 12000(1.40)^t^/5

D) P(t) = 12000(1.40)^5t

Answer :

Question 5 :

The frequency table summarizes a data set of the weights, rounded to the nearest pound, of 71 tortoises. A weight of 39 pounds is added to the original data set, creating a new data set of the weights, rounded to the nearest pound, of 72 tortoises. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?

A) The mean of the new data set is greater than the mean of the original data set, and the median of the new data set is greater than the median of the original data set.

B) The mean of the new data set is greater than the mean of the original data set, and the medians of the two data sets are equal.

C) The mean of the new data set is less than the mean of the original data set, and the median of the new data set is less than the median of the original data set.

D) The mean of the new data set is less than the mean of the original data set, and the medians of the two data sets are equal.

Answer :

Question 6 :

x - 29 = (x - a)(x - 29)

Which of the following are solutions to the given equation, where a is a constant and a > 30 ?

I. a

II. a + 1

III. 29

A) I and II only

B) I and III only

C) II and III only

D) I, II, and III

Answer :

Question 7 :

The functions f and g are defined by the given equations, where x ≥ 0. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x ≥ 0 ?

I. f(x) = 18(1.25)^x + 41

II. g(x) = 9(0.73)^x

A) I only

B) II only

C) I and II

D) Neither I nor II

Answer :

Question 8 :

The perimeter of an equilateral triangle is 852 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is w√3 centimeters. What is the value of w?

Answer :

Question 9 :

The dot plots represent the distributions of values in data sets A and B.

Which of the following statements must be true?

I. The median of data set A is equal to the median of data set B.

II. The standard deviation of data set A is equal to the standard deviation of data set B.

A) I only

B) II only

C) I and II

D) Neither I nor II

Answer :

Question 10 :

Triangles PQR and LMN are graphed in the xy-plane. Triangle PQR has vertices P, Q, and R at (4, 5), (4, 7), and (6, 5), respectively. Triangle LMN has vertices L, M, and N at (4, 5), (4, 7 + k), and (6 + k, 5), respectively, where k is a positive constant. If the measure of ∠Q is t°, what is the measure of ∠N?