Digital SAT Math Questions and Answers (Part - 9)

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Question 1 :

Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide and 12.5 inches tall. If one bag of packing material holds 75 cubic inches of material, how many bags does Sasha need to buy to fill the space around the photo box?

A) 6

B) 7

C) 8

D) 9

Answer :

Question 2 :

Jacob reads a pace of 23 pages every 50 minutes. If a book contains a total of 740 pages, and Jacob has read for a total of t minutes, which of the following expresses the number of pages in the book he has to read yet?

A) 740 – 0.125t

B) 740 – 0.46t

C) 740 – 23t

D) 740 – 27.6t

Answer :

Question 3 :

If f(x) = x² + 4, what is f(√x + 1) equal to ?

Answer :

Question 4 :

At a hospital, the average number of minutes a doctor spends with each patient can be modeled by the equation y = 30 – 3x, where x is the number of forms the doctor must fill out each day. In the context of this problem, what is the meaning of the number 3 in the equation?

A) One form takes a doctor an average of 3 minutes to fill out.

B) A doctor fills out an average of 3 forms for each patient.

C) A doctor spends an average of 3 minutes with each patient.

D) A doctor decreases the time spent with each patient by 3 minutes for every form that must be filled out each day.

Answer :

Question 5 :

A) 2/3

B) 3/4

C) 4/3

D) 9/8

Answer :

Question 6 :

The product of a positive number x and the number that is 4 less than twice x is 390. What is the value of x?

Answer :

Question 7 :

If the ratio of A to B is 10 : 3 and the ratio of A to C is 3 : 1, what is the ratio of B to C?

Answer :

Question 8 :

In the figure above, O is the center of the circle with radius r, and the measure of θ is π/5 radians. If the length of the minor arc AB is 3π, What is the value of r ?

Answer :

Question 9 :

In a certain class of 70 students, 4/7 of the students are boys, and the ratio of students 10 years or older to students less than 10 years is 2 : 3. If 2/3 of the girls are less than 10 years old, how many boys are 10 years old or older?

Answer :

Question 10 :

During Labor Day sale, a store advertises that $40 will be deducted from every purchase over $200. In addition, after the deduction is taken, the store offers an early-bird discount of 40% to any person who makes a purchase before 9 a.m. If Claire makes a purchase of k dollars, k > 200 at 8 a.m., which of the following expressions represents the cost of her purchase?

A) 0.4k – 16

B) 0.4k – 24

C) 0.6k – 24

D) 0.6k - 40

Answer :

Question 11 :

At a fast food restaurant, a group of friends orders 5 tacos for x dollars each. The group also orders 7 burgers, each of which has a price double the price of a taco. If the restaurant applies 5% tax to the total cost, which of the following represents the group’s total bill, in dollars?

A) 19x + 0.05(12)

B) 1.05(12x)

C) 1.05(19x)

D) 0.05(12x)

Answer :

Question 12 :

In the xy-plane above, a circle with radius 5 has its center at the origin. Point A lies on the circle and has coordinates (m, n). What is n in terms of θ?

A) 5sin θ

B) 5cos θ

C) tan θ

D) 5(sin θ + cos θ)

Answer :

Question 13 :

Which of the following is equivalent to the above expression?

Answer :

Question 14 :

If (mx + c)(nx + 3) = 12x² + 5x – 3 for all values of x, where m, n and c are constants, what is the value of m + n?

A) 7

B) 8

C) 12

D) 13

Answer :

Question 15 :

A computer contains 2 memory cards. Each of them has 8 memory chips and each chip has a capacity of 256 megabytes of memory. How many gigabytes of memory will the computer have in total, if 4 more memory cards are added? (1 gigabyte = 1024 megabytes)

Answer :

Question 16 :

The equation above gives the kinetic energy K, in joules, of an object as a function of its mass m, in kilograms, and its velocity v, in meters per second. An experimenter is comparing the kinetic energy of two objects. The first object has a mass of m kilograms and a velocity of v meters per second. The second object has a mass of 4m kilograms and a velocity of 3v meters per second. Which of the following could represent the ratio of the kinetic energy of the first object to the kinetic energy of the second object?

A) 1/36

B) 1/18

C) 1/12

D) 1/6

Answer :

Question 17 :

The area of a rectangle decreases by 9 square units, if its length is reduced by 5 units and its width is increased by 3 units. If the length is increased by 3 units and the width is increased by 2 units, the area increases by 67 square units. What is the length of the rectangle?

A) 12

B) 15

C) 17

D) 18

Answer :