Digital SAT Math Practice Test with Answers (Part - 13)

Question 1 :

A cargo airplane has a maximum takeoff weight of 19,000 kilograms. The airplane, crew, and fuel have a combined weight of 14,750 kilograms. The airplane will be loaded with n 125-kilogram cargo containers. What is the greatest value of n such that the airplane doesn’t exceed its maximum takeoff weight?

A)  28

B)  34

C)  118

D)  152

Answer :

Question 2 :

A laptop costs $550 at an electronic store. An online retailer sells the laptop for 9/10 of the price. A luxury department store sells the laptop for 7/5 of the price. How much more does the laptop cost at the luxury department store than at the online retailer?

A)  $198

B)  $220

C)  $275

D)  $495

Answer :

Question 3 :

A health club charges a one-time membership fee of $125 plus n dollars for each month. If a member pays $515 for the first six months, including the membership fee, what is the value of n?

A)  55

B)  65

C)  75

D)  85

Answer :

Question 4 :

m, 18, 22, n, 30, 63, k

For the given data set, the data values are listed in ascending order, where m, n and k are constants. For this data set, the mean is 35, median is 22, and the range is 60. What is the value of k?

A)  54

B)  69

C)  75

D)  90

Answer :

Question 5 :

The first term of a sequence is 9. Each term after the first is 4 times the preceding term. If w represents the n^th term of the sequence, which equation gives w in terms of n?

A)  w = 4(9ⁿ)

B)  w = 4(9^{n – 1})

C)  w = 9(4ⁿ)

D)  w = 9(4^{n – 1})

Answer :

Question 6 :

The function f is defined by f(x) = c(5.6^x + 5.6^b), where c and b are integer constants and 0 < b < c. The functions g and h are equivalent to function f, where k and j are constants. Which of the following equations displays the y-coordinate of the y-intercept of the graph of y = f(x) in the xy-plane as a constant or coefficient?

I.  g(x) = c(5.6^x + j)

II.  h(x) = c(5.6^x) + k

A)  I only

B)  II only

C)  I and II

D)  Neither I nor II   

Answer :

Question 7 :

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of these angles is (3x – 240°). The sum of the measure of four of the eight angles is a°. Which of the following could NOT be equivalent to a, for all values of x?

A)  12x – 960

B)  –12x + 2,400

C)  –6x + 1,020

D)  360

Answer :

Question 8 :

An equilateral triangle has a height of 77√3. What is the length, in units, of one of this triangle?

A)  154√3

B)  154

C)  77√3

D)  77

Answer :

Question 9 :

A right triangular pyramid has exactly six edges. Each of these edges is 84 inches long. If the surface area of the pyramid is k√3 square inches, what is the value of k?

Answer :

Question 10 :

Points X, Y and Z are on a circle with center O. The measure of ∠OXY is 30°. If OZ = 9, what is the length of minor arc XY?

A)  2π

B)  5π

C)  6π

D)  8π

Answer :

Question 11 :

For the linear function f, the table shows three values of x and their corresponding values of f(x). If h(x – 1) = f(x) – 13, which equation defines h(x)?

A)  h(x) = 8x – 12

B)  h(x) = 8x – 13

C)  h(x) = 8x – 17

D)  h(x) = 8x – 25

Answer :

Question 12 :

Like j is defined by (1/7)x –(1/5)y + 35 = 0. Line k is perpendicular to line j in the xy-plane. What is the slope of line k?

A)  5/7

B)  7/5

C) –5/7

D) – 7/5

Answer :

Question 13 :

F(x) = (9/5)(x – 273.15) + 32

The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase , in degrees Fahrenheit? 

A)  16.38

B)  48.38

C)  475.29

D)  507.29

Answer :

Question 14 :

(3/5)x + (3/4)y = 7

Which table gives three values of x and their corresponding values of y for the given equation?

Answer :

Question 15 :

In 2008, Zinah earned 14% more than in 2007, and in 2009, Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y ?

A)  0.5600

B)  1.0056

C)  1.1800

D)  1.1856

Answer :

Question 16 :

In ΔABC, ∠B is a right angle and the length of BC is 136 millimeters, If cos A = 3/5, what is the length, in millimeters, of AB?

A)  34

B)  102

C)  136

D)  170

Answer :

Question 17 :

A certain line in the xy-plane passes through the two points given in the table, where n is a constant. If the x-coordinate of the y-intercept of the line is n + 8, what is the y-coordinate of the y-intercept of the line?

Answer :

Question 18 :

In triangle XYZ, angle Y is a right angle, point P lies on XZ, and point Q lies on YZ such that PQ is parallel to XY. If the measure of angle XZY is 63°, what is the measure, in degrees, of angle XPQ?

Answer :

Question 19 :

In the xy-plane, line s passes through the point (0, 0) and is parallel to the line represented by the equation y = 18x + 2. If line s also passes through the point (4, d), what is the value of d?

A)  2

B)  18

C)  72

D)  74

Answer :

Question 20 :

f(x) = x² + bx

g(x) = 9x² - 27x

Functions f and g are given, and in function f, b is a constant. If f(x) ⋅ g(x) = 9x⁴ - 26x³ - 3x², what is the value of b?

A)  -26

B)  -26/9

C)  1/9

D)  9

Answer :

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