DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 230)

Problem 1 :

In the figure above, AE = 18, DE = 9 and CD = 15. What is the length of AB?

A)  15

B)  18

C)  21

D)  24

Solution :

Problem 2 :

In the xy-plane above, the equation of circle P is (x - 12)² + y² = 144 and M is the midpoint of PS. What is the area of the shaded region?

A)  72√3

B)  72√3 - 36π

C)  72√3 - 24π

D)  72√3 - 12π

Solution :

Problem 3 :

The scatter plot shows the relationship between body mass and test bite force for lions. The linear model of best fit for the data is also shown. For a body mass of 175 pounds, which of the following best approximates the percent increase from the test bite force to the force that the model predicts?

A)  50%

B)  100%

C)  125%

D)  150%

Solution :

Problem 4 :

In the equation above, a is a positive number. What is the value of x?

A)  12

B)  10

C)  –10

D)  –12 

Solution :

Problem 5 :

A truck leaves City A traveling at an average speed of 40 miles per hour. Three hours later, a car leaves City A, on the same route, traveling at an average speed of 60 miles per hour. How many hours after the car leaves City A will the car catch up to the truck?

A)  4

B)  6

C)  9

D)  12

Solution :

Problem 6 :

The distance d, in meters traveled by a rocket depends on the amount of fuel f, in liters, it burns according to the equation d = (2/3)f. Based on the table above, how many rockets traveled more than 20 meters?

A)  One

B)  Two

C)  Three

D)  Four

Solution :

Problem 7 :

A researcher decides to interview a student who attends either State University or Southwest University. Which of the following is closest to the probability that the chosen student is an undergrduate at Southwest University?

A)  0.21

B)  0.25

C)  0.32

D)  0.54

Solution :

Problem 8 :

A grocery store has two recycling machines outside. The first recycle machine took in 240 plastic bottles and 180 metal cans. The second took in 30 percent more plastic bottles but 10 percent less metal cans. The second machine recycled what percent more items than the first (rounded to the nearest percent)?

A)  9%

B)  11%

C)  13%

D)  15%

Solution :

Problem 9 :

Ashley estimates that there are a marbles in a jar. Harry, who knows the actual number of marbles in the jar, b notes that Ashley's estimate is within 15 marbles (inclusive) of the actual number of marbles. Which of the following inequalities represents the relationship between Ashley's estimate and the actual number marbles in the jar?

A)  -15 ≤ a - b ≤ 15

B)  a ≤ b + 15

C)  a ≥ b - 15

D)  a + b ≥ 15

Solution :

Problem 10 :

A circle in the xy-plane is centered at (1, 2) and contains the point (4, 6). Which of the following could be the equation of the circle?

A)  (x - 1)² + (y - 2)² = 5

B)  (x - 1)² + (y - 2)² = 25

C)  (x + 1)² + (y + 2)² = 5

D)  (x + 1)² + (y + 2)² = 25

Solution :

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