Digital SAT Math Questions and Answers (Part - 6)

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.

Question 1 :

k²x^2a = x^{2a + 2}

In the equation above, k, x and a are positive integers greater than 1. What is the value of x - k?

A) -1

B) 0

C) 1

D) 2

Answer :

Question 2 :

Answer :

Question 3 :

In the figure above, circle A has a radius of 2, circle B has a radius of 4, and circle C has a radius of 6. What is the area of the shaded region ?

A) 18π

B) 20π

C) 22π

D) 24π

Answer :

Question 4 :

If M is 30% of N, N is 40% of O, and P is 50% of O, then what is the value of M/P?

Answer :

Question 5 :

A publisher determines the number of pages p that should go into a children's book by using the equation

p = 8 + 0.5k,

where k is the total number of pictures in the book. Based on the equation, how many more pictures would be needed to add one more page to a children's book?

A) 0.5

B) 1

C) 2

D) 8

Answer :

Question 6 :

In the figure above, 2b = 3c and the area of the shaded region is ⅖ the area of the rectangle. What is the slope of line ℓ ?

Answer :

Question 7 :

In the figure above, which quadrants contain the points (x, y), that satisfy the condition 2x/y = -1?

A) II only

B) II and IV only

C) I and III only

D) I, II, III and IV only

Answer :

Question 8 :

The figure above shows the graph of the function f(x) = x² - k. Points A and B lie on the graph of the function and the vertices of the rectangle ABCD. If AB = 6 and the area of rectangle ABCD is 20, what is the value of k?

A) 17/3

B) 19/3

C) 34/3

D) 68/3

Answer :

Question 9 :

The mean tire pressure of the cars at Dealer A is equal to the mean tire pressure of the cars at Dealer B. However, while the standard deviation of the tire pressures of the cars at Dealer A is 2.5 psi (pounds per square inch), the standard deviation of the tire pressures of the cars at Dealer B is 1.2 psi. Which of the following must be true?

A) The mean tire pressure of the cars at Dealer A is 1.3 psi less than the mean tire pressure of the cars at dealer B.

B) The median tire pressure of the cars at Dealer A is 1.3 psi less than the median tire pressure of the cars at dealer B.

C) The median tire pressure of the cars at Dealer A is 1.3 psi greater than the median tire pressure of the cars at dealer B.

D) The tire pressures of the cars at Dealer A are more variable than the tire pressures of the cars at dealer B.

Answer :

Question 10 :

The base of a cylinder has a circumference of 5π. The height of the cylinder is 4. What is the volume of the cylinder?

A) 20π

B) 25π

C) 40π

D) 50π

Answer :

Question 11 :

Alfred’s favorite drink is 2 parts lime juice to 5 parts raspberry soda. Jenny’s favorite drink is 1 part lime juice to 4 parts raspberry soda. If Jenny has a bottle containing 21 ounces of Alfred’s favorite drink, how many ounces of raspberry soda should she add it to get her favorite drink?

A) 6

B) 7

C) 8

D) 9

Answer :

Question 12 :

In the figure above, ABCD is a square, where AE intersects BD at point F, and E is the midpoint of BC. If AB = 24, what is the length of DF?

A) 12

B) 12√2

C) 16

D) 16√2

Answer :

Question 13 :

In the triangle above, AB = BC. What is the value of sin A?

A) 0.28

B) 0.56

C) 0.84

D) 0.96

Answer :

Question 14 :

Solution A is 60% acid and solution B is 40% acid. Solving which of the following systems of equations gives the number of gallons of solution A, a, and the number of gallons of solution B, b, that should be mixed together to produce 100 gallons of a solution that is 55% acid?

A) a + b = 100

0.6a + 0.4b = 0.55

B) a + b = 100

0.6a + 0.4b = 100

C) a + b = 100

0.6a + 0.4b = 55

D) a + b = 100

0.4a + 0.6b = 0.55

Answer :

Question 15 :

Mary runs around a circular track with a radius of 25 meters. If she runs at 75 meters per minute, how many minutes will it take her to run one lap around the track, rounded to the nearest integer?

Answer :