Digital SAT Math Questions and Answers (Part - 5)

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Question 1 :

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 2 :

Which of the following is true about the values of 2^x and 2x + 2 for x > 0?

A) For all x > 0, it is true that 2^x < 2x + 2.

B) For all x > 0, it is true that 2^x > 2x + 2.

C) There is a constant c such that if 0 < x < c, then 2^x < 2x + 2, but if x > c, then 2^x > 2x + 2.

D) There is a constant c such that if 0 < x < c, then 2^x > 2x + 2, but if x > c, then 2^x < 2x + 2.

Answer :

Question 3 :

In the figure above, the measures of all five line segments are equal. What is the ratio of the length of LK to the length of JM (not shown)?

A) √3/3

B) √6/3

C) √2

D) 3√3/3

Answer :

Question 4 :

2x² + 2y² + cx + cy – 504 = 0

The given equation is a circle with radius 18 units. If c is a positive constant, what is the value of c?

Answer :

Question 5 :

At a kitchen equipment store, the price of a pot is $14 and the price of a pan is $10. If Amy spends more than $100 but less than $150 to buy 3 pots and x pans, which of the following is NOT a possible value of x?

A) 6

B) 8

C) 10

D) 12

Answer :

Question 6 :

A textbook company ships its books in boxes that can hold 30 pounds. One particular order calls for a shipment of 800 books. If each book weighs 1.4 kilograms, how many boxes will be required to fullfill this order ? (1 kilogram = 2.2 pounds)

A) 81

B) 82

C) 83

D) 84

Answer :

Question 7 :

A local pizza restaurant advertises a service that delivers pizza within 15 minutes. The histogram above was produced by a customer who timed the restaurant’s delivery service to the nearest minute for 15 deliveries. Based on the histogram, what is the mean delivery time, in minutes, of the restaurant?

A) 14.4

B) 14.8

C) 15.2

D) 15.6

Answer :

Question 8 :

A large group of friends go out to dinner at a restaurant which charges them a service fee of 12 percent of the original price of their meal. After this fee is factored in, the group uses a coupon to get 25 percent off the total. In the end, what percent did the group receive off the original price?

A) 13%

B) 16%

C) 18%

D) 20%

Answer :

Question 9 :

A rectangular box is 4 in. wide, 6 in. long and 8 in. deep. If the box is to be filled with cubes, each with a side length of 2 in., untill no space is left inside, how many cubes are neded?

A) 12

B) 24

C) 32

D) 48

Answer :

Question 10 :

If y > 0 and y^b/y^1/2 = 1/y², what is the value of b?

A) -3/2

B) -5/2

C) 3/2

D) 5/2

Answer :

Question 11 :

In the figure above, ∠BAC = 20° and AB = AC. If triangles ACD and ADE are isosceles , what is the value of x?

A) 10

B) 15

C) 20

D) 25

Answer :

Question 12 :

Tom buys a pack of baseball cards everyday. Each pack contains 7 cards, but he gives away the two least valuable ones to his brother. Which of the following best describes the relationship between time (in days) and the total number of baseball cards in Tom’s collection?

A) Increasing linear

B) Decreasing linear

C) Exponential growth

D) Exponential decay

Answer :

Question 13 :

Jane is performing an experiment in which she combines potassium and water to produce potassium hydroxide. The amount of water w, in milliliters needed to create a chemical reaction between potassium and water can be modeled by the equation w = 1.6a + 10, where a is the amount of potassium hydroxide, in grams, Jane wishes to produce from the reaction. According to the model, what is the meaning of 1.6 in the equation?

A) An additional 1.6 milliliters of water is needed to react with one additional gram of potassium.

B) An additional 1.6 milliliters of water is needed to produce one more gram of potassium hydroxide.

C) One gram of potassium hydroxide can be produced by reacting 1.6 milliliters of water with potassium.

D) One additional milliliter of water is needed to produce 1.6 more grams potassium hydroxide.

Answer :

Question 14 :

f(x) = [g(x)]² – 7g(x) – 15

In the equation above, if f(2) = 3, what is the positive value of g(2)?

Answer :

Question 15 :

A parking meter charges $0.25 for the first 30 minutes and $0.10 for every additional 5 minutes. If Megan is charged $1.35 for parking at this specific meter, how many minutes did she park for?

A) 70

B) 75

C) 80

D) 85

Answer :