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 :

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