Digital SAT Math Problems and Solutions (Part

Problem 1 :

If the vertex of a parabola is at the point (1, 24) and
the quadratic can be written as –a(x²)
+ bx + c and a, b and c are all positive integers, what is the maximum value of b?

Solution :

Problem 2 :

A table that weighs 441 pounds puts equal amounts of pressure on each of its 4 identical legs. If the pressure that each leg exerts on the floor is 21 pounds per square inch, what is the area, in square inches, of the bottom of each leg that is touching the floor?

Solution :

Problem 3 :

In the figure above, the lines m and n are parallel. If x = 6k + 13 and y = 8k – 29, what is the value of z?

A)  3

B)  21

C)  41

D)  139

Solution :

Problem 4 :

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?

A)  34

B)  35

C)  38

D)  39

Solution :

Problem 5 :

A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

A)  7,500

B)  15,000

C)  22,500

D)  45,000

Solution :

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