Digital SAT Math Practice Test with Answers (Part - 7)

Question 1 :

Triangle ABC is inscribed in a circle with a radius of 85. The length of AC is 170 and the length of BC is 168. What is the value of AB/BC?

Answer :

Question 2 :

The table shows the distribution of FTC complaints categorized by payment method and the dollar value of all transactions made under each method. 

If an FTC complaint is chosen at random, which of the following is closest to the probability that the complaint is related to the payment method whose transactions accounted for the highest dollar value?

A)  0.05

B)  0.16

C)  0.30

D)  0.46

Answer :

Question 3 :

In the figure above, A and B are points on the circle C. If the area of the circle is 54π. What is the area of the sector formed by central angle ACB?

A)  10π

B)  12π

C)  14π

D)  16π

Answer :

Question 4 :

The figure above shows a metal ring with two square faces and a thickness of 0.5 cm. The square faces have a side length of 2.5 cm and the circular hole has a diameter of 2 cm. Which of the following is closest to the volume, in cubic centimeters, of the metal used to form the ring?

A)  1.07

B)  1.55

C)  2.14

D)  3.11

Answer :

Question 5 :

In the xy-plane, line ℓpasses through (0,0) and is perpendicular to the line 3x + y = c, where c is a constant. If the two lines intersect at point (k, k - 4), what is the value of k?

A)  4

B)  6

C)  8

D)  10

Answer :

Question 6 :

Given the equation involving the temperature T (in degrees Celsius) of a substance and the pressure P (in atmospheres) to which it is subjected :

Express the temperature T in terms of the pressure P.

Answer :

Question 7 :

Function h is defined by h(x) = a^x + b, where a and b are constants and b = a + 1. In the xy-plane, the graph of f(x) = 3h(x) + 2 passes through the point (0, 14). What is the value of a?

Answer :

Question 8 :

The equation 0.25c + 3b = 72 represents the number of copybooks (c) and books (b), each 0.25 inches and 3 inches thick respectively, that fit on a shelf. When the copybooks and books are placed on the shelf, there are no gaps left. Which statement is correct?

A)  The total number of books and copybooks is 72.

B)  There are 0.25 copybooks on the shelf for every 3 books.

C)  The difference between the length of the shelf and the total thickness of books and copybooks is 72.

D)  The length of the shelf is 72 inches.

Answer :

Question 9 :

In the given equation, k is a constant. The equation has no solution. What is the value of k?

Answer :

Question 10 :

Which of the following expressions is equivalent to the given expression?

Answer :

Question 11 :

A company conducted a survey about their new brand of skin lotion. The table above shows the results of the survey. During the survey, some customers did not answer some of the questions asked. If 600 customers were asked if they would recommend the lotion to their friends, how many of them did not answer the question?

A)  66

B)  84

C)  90

D)  108

Answer :

Question 12 :

A dolphin jumps out of the water, following a parabolic path. The dolphin reaches its maximum height of 6 meters above the water at t = 3 seconds and returns to the water at t = 6 seconds. Which equation represents the height h, in meters, of the dolphin t seconds after it begins its jump?

A)  h(t) = -½(t - 3)² + 6

B)  h(t) = -⅔(t - 3)² + 6

C)  h(t) = -¾(t - 3)² + 6

D)  h(t) = -⅘(t - 3)² + 6

Answer :

Question 13 :

In the figure, point O is the center of the circle, and the line PQ is tangent to the circle at point P as shown. The length of the segment OP is 12 cm and the arc length created by ∠POQ is equal to 5π/3. What is the value of ∠PQO in degrees?

A)  25

B)  30

C)  60

D)  65

Answer :

Question 14 :

A marble is thrown upward from a ground height of 11 inches. The marble reaches its maximum height of 19 inches in 4 seconds. The trajectory of this projectile motion is in the shape of a parabola. If the height of the marble after it was thrown is represented by the function h(t) = at² + bt + c, where t is time in seconds, what is the value of b + c?

A)  -½

B)  4

C)  11

D)  15

Answer :

Question 15 :

If f(x) and g(x) are linear functions, at what value of x will f(x) be equal to g(x)?

A)  25

B)  30

C)  45

D)  60

Answer :

Question 16 :

The figure above shows a rectangular solid with width x, length y and height z. If xy = 20, yz = 10 and xz = 18, what is the volume of the solid?

A)  60

B)  70

C)  80

D)  90

Answer :

Question 17 :

The figure above shows a sector O with radius r. If the area of the sector is 3π, What is the approximate perimeter of the sector?

A)  10

B)  12.5

C)  13.4

D)  15.6

Answer :

Question 18 :

The function f(x) can be written in the form -2ax² + bx + 2c has a vertex at (1, 10), where a, b and c are positive integers. What is the largest possible value of b?

Answer :

Question 19 :

Dominique is allowed to play up to 8 hours of video games this week. He wants to play video games for at least 4 hours this weekend. Which of the following can be used to represent t, the number of hours he can play video games before the weekend?

A)  t - 8 ≥ 4

B)  t - 8 ≤ 4

C)  8 – t ≤ 4

D)  8 – t ≥ 4

Answer :

Question 20 :

Kara needs three hours to mow and trim Mrs. Tayler’s lawn. One day she asked her friend Peter to work with her. When Peter worked with her, the job took only one hour. How long would it take Peter, in hours, to complete the job himself? 

Answer :

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