DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 241)

Problem 1 :

In the xy-plane above, the corss-section view of a tunnel under a bridge with an opening in the shape of a parabolic arch is shown. A large rectangular house trailer can be moved along a highway that passes through the tunnel. If the trailer is 8 meters wide and 6 meters tall, what is the height, h in meters, of the tunnel in the center?

Solution :

Problem 2 :

In the xy-plane, a parabola with equation y = (x – 5)² – 10 intersects a line with equation y = 6 at two points, A and B. What is the length of AB?

Solution :

Problem 3 :

In the xy-plane above, the area of ΔPOB is three times the area of ΔPOA, and points A, B and P lie on the lie ℓ. What is the value of a?

Solution :

Problem 4 :

C(n) = 3,400 – n

A manufacturing company sells a certain product for $6 per unit. The cost, C, of producing n units is estimated by the formula above. How many units must the company produce and sell to earn a profit of $2,200?

Solution :

Problem 5 :

In the figure above, line ℓ is tangent to both circles A and B at points P and Q respectively. The radius of circle A is 4 and the radius of circle B is 9. What is the length of PS?

Solution :

Problem 6 :

|n - 2| < 5

How many integers n satisfy the inequality above?

A)  Six

B)  Seven

C)  Eight

D)  Nine

Solution :

Problem 7 :

The road above shows Alicia's speed during a road trip. She stopped at a rest stop during her trip to take a nap. Based on the graph, Alicia stopped for her nap after how many hours of driving?

A)  1

B)  2

C)  3

D)  4

Solution :

Problem 8 :

In the figure above, DE is parallel to AB. If AD = 6, DC = 3 and AB = 18, what is the length of DE?

A)  3

B)  6

C)  9

D)  12

Solution :

Problem 9 :

A school district wants to make at least 600 but no more than 700 computers available to students. To meet this goal, the superintendent puts aside a budget to install 8 new computers every month. If there is a total of 200 computers available at the schools in the districts currently, which of the following inequalities gives the possible number of months t for which the school district can contribute to add new computers? Assume t is an integer.

A)  50 ≤ t ≤ 62

B)  50 ≤ t ≤ 63

C)  75 ≤ t ≤ 87

D)  75 ≤ t ≤ 88

Solution :

Problem 10 :

The net effective charge between two particles as a proportion of total charge is represented by E in the formula above, where P is the magnitude of the positive charge and N is the magnitude of the negative charge. Which of the following expresses N in terms of P and E?

Solution :

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10 Hard Digital SAT Math Questions (Part - 41)

10 Hard Digital SAT Math Questions (Part - 42)

Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

Digital SAT Problems and Solutions (Part - 3)

Digital SAT Problems and Solutions (Part - 4)

Digital SAT Problems and Solutions (Part - 5)

Digital SAT Problems and Solutions (Part - 6)

Digital SAT Problems and Solutions (Part - 7)

Digital SAT Problems and Solutions (Part - 8)

Digital SAT Problems and Solutions (Part - 9)

Digital SAT Problems and Solutions (Part - 10)

Digital SAT Problems and Solutions (Part - 11)

Digital SAT Problems and Solutions (Part - 12)

Digital SAT Problems and Solutions (Part - 13)

Digital SAT Problems and Solutions (Part - 14)

Digital SAT Problems and Solutions (Part - 15)

Digital SAT Problems and Solutions (Part - 16)

Digital SAT Problems and Solutions (Part - 17)

Digital SAT Problems and Solutions (Part - 18)

Digital SAT Problems and Solutions (Part - 19)

Digital SAT Problems and Solutions (Part - 20)

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Digital SAT Problems and Solutions (Part - 37)

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Digital SAT Problems and Solutions (Part - 204)

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Digital SAT Problems and Solutions (Part - 250)

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