Digital SAT Math Practice Test with Answers (Part - 12)

Question 1 :

In the figure above, MQ and NR intersect at point P, NP = QP, and MP = PR. What is the measure, in degrees, of ∠QMR? (Disregard the degree symbol when gridding your answer)

Answer :

Question 2 :

At a certain party, an executive committee provided one soda for 8 people, one large bag of chips for 4 people, and one cheese cake for 6 people. If the total number of sodas, large bag of chips and cheese cakes was 78, how many people were at the party?

Answer :

Question 3 :

The figure above shows trapezoid ABCD. If M is the midpoint of AD and AD = 3⋅BC, what fraction of the area of the trapezoid is shaded?

Answer :

Question 4 :

Jackson wants to measure the length AB of a lake. In the figure above, AB is parallel to CD, DE = 6 feet, CD = 10 feet and BE = 300 feet. What is the length of the lake?

A)  250 feet

B)  275 feet

C)  375 feet

D)  500 feet

Answer :

Question 5 :

In the figure above, point O is the center of the circle. If the length of TP is 10√3, what is the length of arc TM?

A)  5π/3

B)  7π/3

C)  8π/3

D)  10π/3

Answer :

Question 6 :

The circumference of the base of a right circular cylinder is 20π meters, and the height of the cylinder is 6 meters. What is the volume, in cubic meters, of the cylinder?

A)  60π

B)  120π

C)  600π

D)  2,400π

Answer :

Question 7 :

If pipe S can fill a certain tank in 3 hours and pipe U can empty it in 4 hours. How long, in hours, would it take to fill the empty tank, when both pipes are open? 

A)  6

B)  8

C)  10

D)  12

Answer :

Question 8 :

The function h(x) contains points (4, 0) and (0, -√520). If h(m) = 0, what is the greatest possible value of m?

Answer :

Question 9 :

In the figure above, if sin (a°) = cos (b°), which of the following is true?

A)  a = b

B)  a > b

C)  a = 60

D)  c = 90

Answer :

Question 10 :

The figure above shows the a silo built from a right circular cone and a right circular cylinder. If the volume of the cylinder is 1911 cubic feet, what is the volume of the silo in cubic feet ?

A)  2125

B)  2548

C)  2684

D)  3017

Answer :

Question 11 :

In the figure above, two identical rectangles lie inside a square and the dimensions of the rectangle are a and b respectively. If the distance from the rectangles to the square and each other are 4 inches, and a : b = 5 : 2. What is the area of the square in square inches?

A)  625

B)  676

C)  729

D)  784

Answer :

Question 12 :

In the figure above, AD = DE = EC. If the area of triangle is 81, what is the area of the shaded region?

A)  24

B)  27

C)  30

D)  40.5

Answer :

Question 13 :

x² – 5x – k = 0

In the equation above, for how many integers x, is the number k negative?

A)  2

B)  3

C)  4

D)  5

Answer :

Question 14 :

The tables above show some values of the linear functions f and g. What is the value of a + b?

Answer :

Question 15 :

Mr. Benjamin has brought grammar work books to distribute to the students in his reading class. If he gives each student 5 books, he will have 10 books left over, and if he gives each student 7 books, he will need an additional 20 books. How many students are in the class?

Answer :

Question 16 :

In the xy-plane above, what is the area of rectangle ABCD?      

Answer :

Question 17 :

f(x) = x² + ax + b

g(x) = f(x – 3)

In the functions above, a and b are constants. If g(3) = 5 and g(4) = 10, what is the value of a?

Answer :

Question 18 :

Points Q and R lie on a circle with center P. The radius of this circle is 9 inches. Triangle PQR has a perimeter of 31 inches. What is the length, in inches, of QR?

A)  13√2

B)  13

C)  9√2

D)  9

Answer :

Question 19 :

Out of 1000 persons, 25 percent were industrial workers and the rest Were agricultural workers. 300 persons enjoyed world cup matches on TV. 30 percent of the people who had not watched world cup matches were industrial workers. What is the number of agricultural workers who had enjoyed world cup matches on TV?

A)  260

B)  240

C)  230

D)  250

Answer :

Question 20 :

In the equation above, p and q are constants. If the equation has infinitely many solutions, what is the value of q?

Answer :

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