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SAT Math: Geometry and Trigonometry

Question 1
SAT (Digital)APConcept PracticeMedium
1 mark

The length of the edge of the base of a right square prism is 66 units. The volume of the prism is 2,8802,880 cubic units. What is the height, in units, of the prism?

Question 2
SAT (Digital)APConcept PracticeMedium
1 mark

A circle has a circumference of 31π31 \pi centimeters. What is the diameter, in centimeters, of the circle?

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Question 3
SAT (Digital)APConcept PracticeHard
1 mark

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

Question 4
SAT (Digital)APConcept PracticeMedium
1 mark

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

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Question 5
SAT (Digital)APConcept PracticeEasy
1 mark

In the figure, two lines intersect at a point. Angle 11 and angle 22 are vertical angles. The measure of angle 11 is 7272^{\circ}. What is the measure of angle 22?

Question 6
SAT (Digital)APConcept PracticeEasy
1 mark

A right triangle has legs with lengths of 1111 centimeters and 99 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

Question 7
SAT (Digital)APConcept PracticeHard
1 mark

In triangle JKLJKL, cos(K)=2451\cos(K) = \frac{24}{51} and angle JJ is a right angle. What is the value of cos(L)\cos(L)?

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Question 8
SAT (Digital)APConcept PracticeHard
1 mark

A circle has center OO, and points AA and BB lie on the circle. The measure of arc AB\stackrel{\frown}{AB} is 4545^{\circ} and the length of arc AB\stackrel{\frown}{AB} is 33 inches. What is the circumference, in inches, of the circle?

Question 9
SAT (Digital)APConcept PracticeHard
1 mark

The equation x2+(y2)2=36x^2 + (y - 2)^2 = 36 represents circle A. Circle B is obtained by shifting circle A down 4 units in the xyxy-plane. Which of the following equations represents circle B?

Question 10
SAT (Digital)APConcept PracticeMedium
1 mark

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