zuai-logo
zuai-logo
  1. AP Digital Sat
FlashcardFlashcardStudy GuideStudy GuideQuestion BankQuestion Bank

SAT Math: Geometry and Trigonometry

Question 1
SAT (Digital)APConcept PracticeHard
1 mark

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

Question 2
SAT (Digital)APConcept PracticeMedium
1 mark

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

Question 3
SAT (Digital)APConcept PracticeMedium
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 4
SAT (Digital)APConcept PracticeHard
1 mark

What is the diameter of the circle in the xyxyxy-plane with equation (x−5)2+(y−3)2=16(x-5)^2 + (y-3)^2 = 16(x−5)2+(y−3)2=16?

Question 5
SAT (Digital)APConcept PracticeMedium
1 mark

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

Write your answer to get it evaluated/graded with ZUAI

Question 6
SAT (Digital)APConcept PracticeHard
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 7
SAT (Digital)APConcept PracticeHard
1 mark

A circle has center OOO, and points RRR and SSS lie on the circle. In triangle ORSORSORS, the measure of ∠ROS\angle ROS∠ROS is 88^\circ. What is the measure of ∠RSO\angle RSO∠RSO, in degrees? (Disregard the degree symbol when entering your answer.)

Write your answer to get it evaluated/graded with ZUAI

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 8
SAT (Digital)APConcept PracticeMedium
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​?

Write your answer to get it evaluated/graded with ZUAI

Question 9
SAT (Digital)APConcept PracticeEasy
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 10
SAT (Digital)APConcept PracticeHard
1 mark

A circle has center GGG, and points MMM and NNN lie on the circle. Line segments MHMHMH and NHNHNH are tangent to the circle at points MMM and NNN, respectively. If the radius of the circle is 168 millimeters and the perimeter of quadrilateral GMHNGMHNGMHN is 3,856 millimeters, what is the distance, in millimeters, between points GGG and HHH?