Digital SAT Math Practice Test with Answers (Part - 18)

Question 1 :

According to a 2008 study, there were five known subspecies of tigers, including the Amur and Bengal, living in the wild. Scientists estimated that there were a total of 4,000 tigers in the wild. Of these, 450 were Amur tigers and x were Bengal tigers. Which inequality represents all possible numbers of tigers in the wild in 2008 that belonged to the Bengal tiger subspecies?

A)  5x ≥ 4000

B)  x/5 ≥ 4000

C)  1 ≤ x ≤ 3547

D)  3547 < x ≤ 4000

Answer :

Question 2 :

A circle has been divided into three nonoverlapping regions: I, II, and III. The area of region I is 4π square centimeters (cm²), the area of region II is 12π cm², and the area of region III is 16π cm². If a point in the circle is selected at random, what is the probability of selecting a point that does not lie in region II? (Express your answer as a decimal or fraction, not as a percent.)

Answer :

Question 3 :

The figure shown is a right circular cylinder with a radius of r and height of h. A second right circular cylinder (not shown) has a volume that is 392 times as large as the volume of the cylinder shown. Which of the following could represent the radius R, in terms of r, and the height H, in terms of h, of the second cylinder?

A)  R = 8r and H = 7h

B)  R = 8r and H = 49h

C)  R = 49r and H = 8h

D)  R = 7r and H = 8h

Answer :

Question 4 :

The number of sides with length 8 centimeters (cm) is 5 times the number of sides n with length 3 cm. There are 6 sides with length 4 cm. Which equation must be true for the value of n?

A)  5n + 6 = 30

B)  6n + 6 = 30

C)  8n + 3n + 4n = 30

D)  8(5n) + 3n + 4(6) = 30

Answer :

Question 5 :

A right circular cone has a height of 22 centimeters (cm) and a base with a diameter of 6 cm. The volume of this cone is nπ cm³. What is the value of n?

Answer :

Question 6 :

Let P(x) be a polynomial of degree 3. When P(x)is divided by (x - 1), the remainder is 4. When P(x) is divided by (x + 2), the remainder is -5. If P(x) is divided by (x² + x - 2), what is the remainder?

A)  3x + 1

B)  3x - 1

C)  x + 3

D)  2x + 2

Answer :

Question 7 :

What is the value of 4(y + t)?

Answer :

Question 8 :

f(x) = p(x + 44)(x + q)(x + r)

In the given function, p, q, and r are positive constants. If f(0) = a, which of the following must be true?

A)  a < 44qr

B)  a = 44qr

C)  a > 44qr

D)  There is not enough information to compare the values of a and 44qr.

Answer :

Question 9 :

In right triangle RTS with angles r, t and s respectively, angle t is 90 degrees. If 3r is greater than 16s, which of the following has the greatest value?

A)  sin r

B)  sin s

C)  sin r/cos s

D)  sin r/sin s

Answer :

Question 10 :

A company offers its salespeople two different weekly compensation plans. Salespeople on Plan X earn $1,000 plus a 10% commission on their sales each week. Salespeople on Plan Y earn $500 plus a 20% commission on their sales each week. Which inequality models the amount in sales each week, d dollars, for which salespeople on Plan X earn more than salespeople on Plan Y?

A)  d < 5,000

B)  d > 5,000

C)  d < 1,500

D)  d > 1,500

Answer :

Question 11 :

The line segment shown in the xy-plane represents one of the legs of a right triangle. The area of this triangle is 36√13 square units. What is the length, in units, of the other leg of this triangle?

A)  12

B)  24

C)  3√13

D)  18√13

Answer :

Question 12 :

f(x) = |59 - 2x|

The function f is defined by the given equation. For which of the following values of k does f(k) = 3k?

A)  59/5

B)  59/2

C)  177/5

D)  59

Answer :

Question 13 :

How many liters of a 30% chlorine solution must be added to 12 liters of a 10% chlorine solution to obtain a 15% chlorine solution?

Answer :

Question 14 :

Two data Sets A and B have 56 values in total. The average of the two data sets is 193. Data set A contains 32 values with an average of 208. What is the average of data set B?

Answer :

Question 15 :

Lines k and l are perpendicular. If the points (4, m) and (9, m + 3) lie on line k and lines k and l intersect at (9, m + 3), which of the following can lie on line l?

A)  (m - 6, -4)

B)  (m + 9, 24)

C)  (21, m - 17)

D)  (24, m + 12)

Answer :

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