Digital SAT Math Problems and Solutions (Part

Problem 1 :

The area of rectangle A is 50 m² and the rectangle B is 450 m². Rectangle A has a perimeter of 30 m. If both the rectangles are similar, what is the perimeter of rectangle B?

Solution :

Problem 2 :

The solutions to x² + 6x + 7 = 0 are r and s, where r < s. The solutions to x² + 8x
+ 8 = 0 are t and u, where t < u. The solutions
to x² + 14x + c = 0, where
c is a constant, are r + t
and s + u. What is the value of c?

Solution :

Problem 3 :

Function f
is a quadratic function. The graph of y
= f(x) in the xy-plane has a vertex at (6, 10),
contains the point (5, 8), and has a y-intercept
at (0, a). The graph of y = 4 ⋅ f(x) has a y-intercept
at (0, b). What is the positive difference between a and b?

Solution :

Problem 4 :

In the figure above, the radius of the circle is 12. If
the length of chord AB is 18, what is
the distance between the chord and the diameter?

A)  2√10

B)  3√7

C)  4√5

D)  6√2

Solution :

Problem 5 :

0.36x² +
0.63x + 1.17

The given expression
can be written as a(4x² +
7x +13),  where a is a constant. What is the value of a?

Solution :

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