Digital SAT Math Questions and Answers (Part - 10)

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Question 1 :

The figure above shows a triangular prism whose base is an equilateral triangle with side lengths x and height √3x. If the volume of the prism is 81/4, what is the value of x?

A) 3

B) 4

C) 5

D) 6

Answer :

Question 2 :

Which is the sum of the measures of the marked angles in the figure above?

A) 1080°

B) 900°

C) 720°

D) 540°

Answer :

Question 3 :

If 2x + 3y = 11, what is the value of 4^x8^y?

A) 2¹⁵

B) 2¹¹

C) 2⁹

D) 2⁸

Answer :

Question 4 :

If x > 4, which of the following is equivalent to the above expression?

Answer :

Question 5 :

In a certain office, there are c chairs, d desks and e employees. Five desks are not occupied, and all other desks are occupied by exactly one employee. All but two of the employees have two chairs at their desks, and all the other desks, whether they are occupied or not, have one chair. If e > 2, then which of the following expressions is equal to c?

A) 2(d – 5) + e

B) 2(d – e)

C) 2(d – 2)

D) 2e + 3

Answer :

Question 6 :

The graph of the function f is the graph of the function g compressed horizontally by a factor of 2 and shifted to the right by 1. Which of the following correctly defines the function f?

A) f(x) = g(2x - 1)

B) f(x) = g(2x - 2)

C) f(x) = g(½x - ½)

D) f(x) = g(½x - 1)

Answer :

Question 7 :

At a school, there is one Math teacher for every 10 students, one English teacher for every 15 students and one Science teacher for every 30 students. If the total number of Math, Science and English teachers is k, how many students are there at the school, in terms of k?

A) 3k

B) 4k

C) 5k

D) 10k

Answer :

Question 8 :

y = (2x – 1)(2x – 11)

A parabola with vertex (a, b) in the xy-plane is represented by the equation above. What is the value of b?

A) -25

B) 3

C) 6

D) 11

Answer :

Question 9 :

In the figure above, MN is a line. What is the value of b?

Answer :

Question 10 :

Product reports suggest that 10 percent of all calculators require AAA type batteries and 25 percent of all alarm clocks reuire AAA type batteries. If there are 550 calculators and 440 alarm clocks in stock at a store, what is the estimated difference between the number of calculators that require AAA batteries and the number of alarm clocks that require AAA batteries?

Answer :

Question 11 :

37% of the items in a box are green. Of those, 37% are also rectangular. Of the green rectangular items, 42% are also metal. Which of the following is closest to the percentage of the items in the box that are not rectangular green metal items?

A) 1.16%

B) 57.50%

C) 94.25%

D) 98.84%

Answer :

Question 12 :

The table above shows the percent of men and women 60 years and older who were working in a certain factory in the U.S. in the given years. If the rate of increase or decrease every year is constant, which of the following represents the percent of men over 60 who were working in the factory in the year 2015?

A) 26.6

B) 27.2

C) 29.6

D) 30.5

Answer :

Question 13 :

Mary is making a rectangle whose perimeter is less than 100 inches. If the dimesions are integers, what is the largest possible area for the rectangle in square inches?

A) 600

B) 625

C) 650

D) 800

Answer :

Question 14 :

In the figure above, AD = √3 and CD = 1. What is the length of AB?

A) 2

B) 3

C) 2√3

D) 3√3

Answer :

Question 15 :

The number of bacteria in a controlled laboratory environment is defined by the function f(x) = 1000⋅b^x, where x is the time in hours. The graph of f is shown in the xy-plane below.

What is the number of bacteria in 5 hours?

A) 27,000

B) 32,000

C) 40,000

D) 64,000

Answer :

Question 16 :

Object R and S each travel at a constant speed. The speed of object R is half the speed of object S. Object R travels a distance of 4x inches in y seconds. Which expression represents the time, in seconds, it takes object S to travel a distance of 24x inches?

A) 12y

B) 3y

C) 16y

D) 6y

Answer :

Question 17 :

In the figure above, arc SBT is one quarter of a circle with center R and radius 6. If the length plus the width of rectangle ABCR is 8, Then the perimeter of the shaded region is

(A) 3π + 4

(B) 3π + 8

(D) 3π + 12

Answer :

Question 18 :

At a certain airline, the total cost of checking in a bag is the sum of a fixed fee of $25, and an additional charge of $3 each pound the bag’s weight exceeds the overweight limit of 50 pounds. If the total cost of checking a bag in is $70, what is the total weight of the bag in pounds?

Answer :