Bluebook SAT Mathematics 3

Question 1

In the xy-plane, the graph of the equation y = -x^2 + 8x - 15 intersects a circle at exactly one point. If the circle's center is at the vertex of the parabola, what is the radius of the circle?

Accepted Answer

0

Answer

1

Answer

2

Answer

4

Question 2

Two data sets, A and B, are created. Data set A consists of 10 consecutive even integers. Data set B is created by multiplying each element of data set A by -2 and then adding 5. Which of the following statements correctly compares the standard deviations of the two data sets?

Accepted Answer

The standard deviation of set B is twice the standard deviation of set A.

Answer

The standard deviation of set A is half the standard deviation of set B.

Answer

The standard deviation of set B is -2 times the standard deviation of set A.

Answer

The standard deviations are equal.

Question 3

In the xy-plane, a point P lies on the unit circle. The angle formed by the positive x-axis and the line segment from the origin to P is θ. If sin(θ) = -cos(θ) and the angle θ is in Quadrant IV, what is the value of θ in radians?

Accepted Answer

7π/4

Answer

π/4

Answer

3π/4

Answer

5π/4

Question 4

A circle in the xy-plane is defined by the equation x^2 + y^2 - 10x + 6y + c = 0. For what value of c does the radius of the circle equal 1?

Accepted Answer

33

Answer

9

Answer

25

Answer

35

Question 5

The function g is defined by g(x) = a(x+b)^2, where a and b are constants. If g(x) has a maximum value of 5 and one of its x-intercepts is at x = -3 + sqrt(5), what is the value of the other x-intercept?

Accepted Answer

-3 - sqrt(5)

Answer

3 - sqrt(5)

Answer

3 + sqrt(5)

Answer

5 - sqrt(3)

Question 6

An isosceles right triangle is inscribed in a circle with an area of 50π. What is the perimeter of the triangle?

Accepted Answer

20 + 20*sqrt(2)

Answer

10 + 20*sqrt(2)

Answer

20 + 10*sqrt(2)

Answer

10 + 10*sqrt(2)