Digital SAT Math Practice Test with Answers (Part - 6)

Question 1 :

After a ball is dropped, it continues to bounce off the ground. It reaches a height of 128 centimeters after its first bounce and a height of 54 centimeters after its fourth bounce. The height reached after each bounce is always the same fraction of the height after the previous bounce. What is the height, in centimeters, the ball reaches after its fifth bounce?

Answer :

Question 2 :

A)  3

B)  4

C)  5

D)  6

Answer :

Question 3 :

v = 100 + 25h

The daily number of visitors v to a store that is open for h hours each day can be modeled by the equation above, where h ≥ 1. According to the model, how many more daily visitors can the store expect, if it were open for two more hours each day?

A)  25

B)  50

C)  100

D)  200

Answer :

Question 4 :

If mb < 0, then the line whose equation is y = mx + b cannot contain which of the following points?

A)  (-1, 0)

B)  (0, 1)

C)  (1, 0)

D)  (0, -1)

Answer :

Question 5 :

Answer :

Question 6 :

Which of the following has a graph in the xy-plane that does not cross the x-axis?

A)  f(x) = 1 - x²

B)  f(x) = |1 - x|

C)  f(x) = (x - 1)² + 1

D)  f(x) = x³ - 1

Answer :

Question 7 :

Given right triangle ABC above, which of the following gives the length of AB in terms of θ?

A)  sin θ

B)  cos θ

C)  tan θ

D)  1/sin θ

Answer :

Question 8 :

The number of people on a social media networking site doubles every 6 months. If the site had an initial membership of 200 people when it launched, which of the following equations represents the site's total membership M, t years after its launch?

A)  M = 200(2t)

B)  M = 200(2)^t

C)  M = 200(2)^t/2

D)  M = 200(2)^2t

Answer :

Question 9 :

Matt collects rare baseball cards. Each pack of baseball cards he buys conatins 12 cards, two of which are rare. He currently has 40 rare cards. If his goal is to have 100 rare baseball cards, how many more packs of baseball cards will he have to buy?

Answer :

Question 10 :

p(x) = (3x² - 5)(x + k) - 20

In the polynomial p(x) defined above, k is a constant. If x is a factor of p(x), what is the value of k?

A)  -6

B)  -4

C)  2

D)  4

Answer :

Question 11 :

y = x² - 10x + k

In the equation above, k is a constant. If the equation represents a parabola in the xy-plane that is tangent to the x-axis, what is the value of k?

Solution :

Question 12 :

If 3c/d = 4, what is the value of 60d/c?

Solution :

Question 13 :

Anita is moving back to Mexico and exchanges 400 U.S. dollars for 6,650 Mexican pesos. Based on this information, which of the following is closest to the number of pesos one U.S. dollar is worth?

A)  15.83

B)  15.97

C)  16.24

D)  16.63

Solution :

Question 14 :

A bottle contains x ounces of soda. After Harry drinks from it, there are y ounces of soda left. In terms of x and y, what percent of the bottle did Harry consume?

Answer :

Question 15 :

The graph of line l is shown in the xy-plane above. The y-intercept of line l is 3 and the x-intercept is -4. If line m is perpendicular to line l, what is the slope of line m?

A)  -4/3

B)  -3/4

C)  -1/2

D)  3/4

Answer :

Question 16 :

In Ms. Lee's class, the number of boys is more than twice the number of girls. There are at least 7 girls and there are no more than 15 boys. How many students are in the class?

A)  19

B)  20

C)  21

D)  22

Answer :

Question 17 :

The table above shows the point (x, y) represented on a straight line. If the point (16, m) lies on the same line, what is the value of m?

A)  26

B)  24

C)  22

D)  20

Answer :

Question 18 :

James spent 3/4 of his allowance on a music CD. He spent 2/3 of what was left on a hamburger. If this left him P dollars, which of the following was his allowance in dollars?

A)  12P

B)  14P

C)  16P

D)  18P

Answer :

Question 19 :

Radioactive decay is an exponential function where the amount, y, of radioactive material is reduced by one-half over a certain period of time t. Material M has a half-life of 50 years. If there are 800 grams of radioactive material M initially, then how much of this material would remain radioactive after 200 years?

A)  25 grams

B)  50 grams

C)  100 grams

D)  200 grams

Answer :

Question 20 :

In the xy-plane above, the area of ΔOPQ is 3. What is the value of k?

A)  2

B)  4

C)  6

D)  8

Answer :

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