Digital SAT Math Practice Test with Answers (Part - 3)

Question 1 :

A circle is inscribed in an equilateral triangle. The radius of the circle is 9 inches. What is the perimeter, in inches, of the triangle?

A)  √3

B)  27√3

C)  54√3

D)  108

Answer :

Question 2 :

A right rectangular prism with two square faces has a surface area of 490 square centimeters. If the width of each of the remaining faces is twice the side length of each square face, what is the volume, in cubic centimeters, of the rectangular prism?

Answer :

Question 3 :

Prava purchased a dress for $42.84. The dress was on sale for 20% off, and Prava the used a coupon that reduced the price by an additional 15%. What was the original price, to the nearest cent, of the dress before any discounts were applied?

A)  $53.55

B)  $57.83

C)  $59.12

D)  $63.00

Answer :

Question 4 :

If both of the above equations are true, which of the following is a possible value of the expression (b + c)?

A)  4

B)  12

C)  20

D)  28

Answer :

Question 5 :

A scholarship fund is established with a starting balance of $492,000 and no additional money is ever added to the fund. Each year 4 sholarships of equal amount are awarded to 4 students. The total dollar amount of all the scholarships awarded each year is equal to 5% of the remaining balance of the scholarship balance that particular year. To the nearest dollar, what is the amount of a single scholarship in the third year the scholarships are awarded?

A)  5,228

B)  5,550

C)  6,150

D)  22,202

Answer :

Question 6 :

The two points K(1, 0) and J(a, -1) are on a circle. If the point O(0, 0) is the center of the circle, which of the following could be the measure of ∠JOK?

A)  -39π/2

B)  -21π

C)  -18π

D)  -53π/2

Answer :

Question 7 :

If p and q are positive integers such that 

(∛4)^p = 16^3q,

what is the value of q/p?

Answer :

Question 8 :

Answer :

Question 9 :

If m and n are positive integers such that mⁿ = n^m and n = 18m, then what is the value of m¹⁷ x n³⁴ ?

A)  18³³

B)  18³⁷

C)  6³³

D)  6³⁶

Answer :

Question 10 :

For the inequality below, what is a possible value of (x - 3)?

Answer :

Question 11 :

10x² – kxy + 15y² = 0

In the equation above, the ratio between x and y is 5 : 2, then what is the value of k?

Answer :

Question 12 :

For a certain rectangular region, the ratio of its length to its width is 35 to 10. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

A)  It must decrease by 24.5 units.

B)  It must increase by 24.5 units.

C)  It must decrease by 7 units.

D)  It must increase by 7 units.

Answer :

Question 13 :

The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y?

Answer :

Question 14 :

A right triangle has sides of length 2√2, 6√2 and √80 units. What is the area of the triangle, in square units?

A)  8√2 + √80

B)  12

C)  24√80

D)  24

Answer :

Question 15 :

The expression 4x² + bx - 45, where b is a constant, can be written as (hx + k)(x + j), where h, k and j are integer constants. Which of the following must be an integer?

A)  b/h

B)  b/k

C)  45/h

D)  45/k

Answer :

Question 16 :

y = 2x² - 21x + 64

y = 3x + a

In the given system of equations, ais a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?

A)  -8

B)  -6

C)  6

D)  8

Answer :

Question 17 :

The above expression is equivalent to ax^b, where a and b are positive constants and x > 1. What is the value of a + b?

Answer :

Question 18 :

An isosceles right triangle has a hypotenuse of length 58 inches. What is the perimeter, in inches, of this triangle?

A)  29√2

B)  58√2

C)  58 + 58√2

D)  58 + 116√2

Answer :

Question 19 :

In the xy-plane, a parabola has vertex (9, -14) and intersects the x-axis at two points. If the equation of the parabola is written in the form y = ax² + bx + c, where a, b, and c are constants, which of the following could be the value of a + b + c?

A)  -23

B)  -19

C)  -14

D)  -12

Answer :

Question 20 :

Function f is defined by f(x) = -a^x + b, where a and b are constants. In the xy-plane, the graph of y = f(x) - 15 has a y-intercept at (0, -99/7). The product of a and b is 65/7. What is the value of a?

Answer :

You might like these

Digital SAT Math Practice Test (Part - 1)

Digital SAT Math Practice Test (Part - 2)

Digital SAT Math Practice Test (Part - 3)

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