DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 59)

Problem 1 :

f(x) = a(x - 3)2 + b(x - 3)2

If f(10) = m and f(-4) = n, what is the value of

109(113)m - n + 229(97)n - m?

Solution :

Problem 2 :

digitalsatmath52.png

Solution :

Problem 3 :

The given quartic function 54x4 + 219x2 + 105 has factors in the form (k)(ax2 + b)(cx2 + d). If a, b, c, d and k are integers, what is the smallest possible value of ab?

Solution :

Problem 4 :

If y4 = 80 and z5 = 32, what is the value of y8 ⋅ z-5?

A)  50

B)  64

C)  160

D)  200

Solution :

Problem 5 :

A rectangular prism has a height of 50 centimeters (cm). The base of the prism is a square and the surface area of the prism is S cm2. If the prism is divided into two identical rectangular prisms by making a cut parallel to the square base, each resulting prism has a surface area of (³¹⁄₅₆)S cm2. What is the side length, in cm, of each square base?

A)  5

B)  6

C)  12

D)  24

Solution :

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