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  1. AP Digital Sat
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SAT Math: Geometry and Trigonometry

Question 1
SAT (Digital)APExam Style
1 mark

The length of the edge of the base of a right square prism is 6 units. The volume of the prism is 2,880 cubic units. What is the height, in units, of the prism?

Question 2
SAT (Digital)APExam Style
1 mark

A circle has a circumference of 31 \pi centimeters. What is the diameter, in centimeters, of the circle?

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Question 3
SAT (Digital)APExam Style
1 mark

A circle in the xy-plane has its center at (−4,−6)(-4, -6)(−4,−6). Line kkk is tangent to this circle at the point (−7,−7)(-7, -7)(−7,−7). What is the slope of line kkk?

Question 4
SAT (Digital)APExam Style
1 mark

An angle has a measure of 9π20\frac{9 \pi}{20}209π​ radians. What is the measure of the angle in degrees‾\underline{degrees}degrees​?

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Question 5
SAT (Digital)APExam Style
1 mark

In the figure, two lines intersect at a point. Angle 1 and angle 2 are vertical angles. The measure of angle 1 is 72^{\circ}. What is the measure of angle 2?

Question 6
SAT (Digital)APExam Style
1 mark

A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

Question 7
SAT (Digital)APExam Style
1 mark

In triangle JKLJKLJKL, cos⁡(K)=2451\cos(K) = \frac{24}{51}cos(K)=5124​ and angle JJJ is a right angle. What is the value of cos⁡(L)\cos(L)cos(L)?

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Question 8
SAT (Digital)APExam Style
1 mark

A circle has center OOO, and points AAA and BBB lie on the circle. The measure of arc AB⌢\stackrel{\frown}{AB}AB⌢ is 45^{\circ} and the length of arc AB⌢\stackrel{\frown}{AB}AB⌢ is 3 inches. What is the circumference, in inches, of the circle?

Question 9
SAT (Digital)APExam Style
1 mark

The equation x2+(y−2)2=36x^2 + (y - 2)^2 = 36x2+(y−2)2=36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xyxyxy-plane. Which of the following equations represents circle B?

Question 10
SAT (Digital)APExam Style
1 mark

A sphere has a radius of 175\frac{17}{5}517​ feet. What is the volume, in cubic feet, of the sphere?