SAT Section Two : Mathematics (SAT-Mathematics) Free Practice Test
Question 1
In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of
circle O is equal in measure to the length of line OH. If the diameter of circle O is 24 in, what is the
measure of angle BGH?
Correct Answer: B
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Question 2
In the diagram above, what is the sum of the measures of the angles x, y, and z?
Correct Answer: D
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Question 3
The value of d is increased 50%, then decreased 50%. Compared to its original value, the value of d is
now
now
Correct Answer: C
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Question 4
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9,5).What is the area of
rectangle ABCD?
rectangle ABCD?
Correct Answer:
84
Explanation/Reference:
If point A is located at (-3,12) and point C is located at (9,5), that means that either point B or point D has
the coordinates (-3,5) and the other has the coordinates (9,12). The difference between the different x
values is 9 - (-3) = 12 and the difference between the different y values is 12 - 5 = 7. The length of the
rectangle is 12 units and the width of the rectangle is seven units. The area of a rectangle is equal to its
length multiplied by its width, so the area of ABCD= (12)(7) = 84 square units.
Explanation/Reference:
If point A is located at (-3,12) and point C is located at (9,5), that means that either point B or point D has
the coordinates (-3,5) and the other has the coordinates (9,12). The difference between the different x
values is 9 - (-3) = 12 and the difference between the different y values is 12 - 5 = 7. The length of the
rectangle is 12 units and the width of the rectangle is seven units. The area of a rectangle is equal to its
length multiplied by its width, so the area of ABCD= (12)(7) = 84 square units.
Question 5
If 0.34 < x < 0.40 and which of the following could be x?
Correct Answer: C
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Question 6
Which of the following is the vertex of the parabola which is the graph of the equation
Correct Answer: B
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Question 7
Correct Answer:
The equation of a parabola with its turning point c units to the right of the y-axis is written as y = (x - c)2.
The equation of a parabola with its turning point d units below the x-axis is written as y =x2-d.The
parabola shown has its turning point three units to the right of the y-axis and two units below the x-axis, so
its equation is y = (x - 3)2- 2. Alternatively, you can plug the coordinates of the vertex of the parabola,
(3,-2), into each equation. The only equation that holds true is choice d: y = (x - 3)2- 2, -2 = (3 - 3)2- 2, -2
=02-2, -2 = -2.
The equation of a parabola with its turning point d units below the x-axis is written as y =x2-d.The
parabola shown has its turning point three units to the right of the y-axis and two units below the x-axis, so
its equation is y = (x - 3)2- 2. Alternatively, you can plug the coordinates of the vertex of the parabola,
(3,-2), into each equation. The only equation that holds true is choice d: y = (x - 3)2- 2, -2 = (3 - 3)2- 2, -2
=02-2, -2 = -2.
Question 8
The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle. What is
the area of the shaded region?
Correct Answer: D
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