SAT Geometry Mastering Geometry: SAT Geometry Quiz - part 1The quiz consists of 200 questions, and the user will be presented with a unique set of 10 questions in each session for a diverse experiencePlease note that answers cannot be deselected once chosen in the quiz, so make your choices carefully for an optimal testing experience.Each question is meticulously crafted to mirror the complexity and diversity of geometric problem-solving you'll encounter in the SAT.Use it as a targeted practice tool to identify and address specific areas of improvement.Track your progress and see your geometric proficiency grow. 1. In the figure above, arc PBQ is one-quarter of a circle with center at O, and OABC is a rectangle. If AOC is an isosceles right triangle with AC = 8, what is the perimeter of the figure that encloses the shaded region? 16+ 4π 24-4π 24-4√2 + 4π 16+ 4π 16-4√2 + 4π None 2. What is the number of sides of a polygon in which the sum of thedegree measures of the interior angles is 4 times the sum of the degreemeasures of the exterior angles? No such polygon exists. 10 12 14 None 3. In the figure above, if the radius length of circle O is 10, OY⊥AB, andAB = 16, what is the length of segment XY? 6 4 3 2 None 4. In the figure above, OABC is a square and B is a point on the circlewith center O. If AB = 6, what is the area of the shaded region? 9(π − 1) 9(π − 2) 18(π − 2) 12(π − 2) None 5. How many different triangles are there for which the lengths of thesides are 3, 8, and n, where n is an integer and 3 < n < 8? Three Five Two Four None 6. If the coordinates of the endpoints of a diagonal of a square are (−2, −3) and (5, 4), what is the number of square units in the area of the square? 98 21 49 7 None 7. In the figure, MATH is a rectangle, GB = 4.8, MH = 6, and HT = 15.The area of the shaded region is how many times larger than the areaof △MBA? 2.5 1.5 2.9 1.9 None 8. Every time the pedals go through a 360° rotation on a certain bicycle,the tires rotate three times. If the tires are 24 inches in diameter, whatis the minimum number of complete rotations of the pedals needed forthe bicycle to travel at least 1 mile? [1 mile = 5,280 feet] 561 24 281 5280 None 9. In the figure above, x + y =Write your answer in numbers only 10. In the figure above, what is y in terms of x? 4/3 x 3/2 x 3/4 x x None 11. In the figure above, if the area of square ABCD is 64, what is the areaof equilateral triangle BEC? 8√3 8 16√3 12√3 None 12. Brand X paint costs \$14 per gallon, and 1 gallon provides coverage ofan area of at most 150 square feet. What is the minimum cost of theamount of brand X paint needed to cover the four walls of a rectangularroom that is 12 feet wide, 16 feet long, and 8 feet high?Write your answer in numbers only 13. What is the number of square units in the area of the region in the firstquadrant of the xy-plane that is bounded by y = |x| + 2, the line x = 5,the positive x-axis, and the positive y-axis? 44/7 44/5 45/2 45/6 None 14. In the figure above, each arc is a semicircle. If S is the midpoint of PQ and Q is the midpoint of PR, what is the ratio of the area of semicircle PS to the area of semicircle PR? 1/16 1/9 1/8 1/12 None 15. The center of circle Q has coordinates (3, −2) in the xy-plane. If an endpoint of a radius of circle Q has coordinates R(7, 1), what is an equation of circle Q? (x − 3)² + (y + 2)²= 5 (x − 3)² + (y + 2)²= 25 (x + 3)² + (y - 2)²= 5 (x + 3)² + (y - 2)²= 25 None 16. In the figure above, OA⊥AB, and m∠BOC = 45°. If the coordinates ofpoint A are (0, 3) and the coordinates of point C are (7, 0), what is thenumber of square units in the area of quadrilateral OABC? 25 30 20 15 None 17. What is the distance in the xy-plane from the point (3, −6) to the centerof the circle whose equation is x(x + 4) + y(y − 12) = 9? 12 feet 11 feet 14 feet 13 feet None 18. Two hikers started at the same location. One traveled 2 miles east andthen 1 mile north. The other traveled 1 mile west and then 3 milessouth. At the end of their hikes, how many miles apart were the twohikers? 10 8 5 1 None 19. The diagram above shows a semicircular arch over a street that has a radius of 14 feet. A banner is attached to the arch at points A and B, such that AE = EB = 5 feet. How many feet above the ground are these points of attachment for the banner, correct to the nearest tenth of a foot? 13.1 15.1 14.1 16.1 None 20. If a bicycle wheel has traveled ƒ/π feet after n complete revolutions,what is the length in feet of the diameter of the bicycle wheel? ƒ/nπ² π²/ƒn ƒn/ π² nƒ None 21. In the figure above, what is the area of parallelogram ABCD? 6√2 4√2 6√3 4√3 None 22. In the figure above, what is the sum of the degree measures of themarked angles? 180 360 120 It cannot be determined from the information given. None 23. Katie hikes 5 miles north, 7 miles east, and then 3 miles north again.What number of miles, measured in a straight line, is Katie from herstarting point? √83 √113 13 10 None 24. In the figure above, the sum of the areas of the three shaded semicircles with centers at A, B, and C is X, and the area of the larger semicircle below the line is Y. If Y − X = kπ, what is the value of k? 1 2 3 4 None 25. In the figure above, what is the number of square units in the area of the shaded region? 14.5 12.5 13.5 11.5 None 26. In the figure above, what is an equation of the line that containsdiagonal AC of square ABCD? y = x − 1 y = 1/2 x − 2 y = 2x − 8 y = 2x + 1 None 27. If the equation of a circle is x²− 10x + y²+ 6y = −9, which of thefollowing lines contains a diameter of the circle? y = −2x + 13 y = −2x + 7 y = 2x + 13 y = 2x − 7 None 28. In the figure above, PA is tangent to circle O at point A, PB is tangentto circle O at point B. Angle AOB measures 120° and OP = 24/π What isthe length of minor arc AB? 5 6 8 4 None 29. In the pully system illustrated in the figure above, a belt with negligiblethickness is stretched tightly around two identical wheels representedby circles A and B. If the radius of each wheel is 12/π inches and themeasure of ∠NPJ is 60°, what is the length of the belt? $$32+\frac{48\sqrt{3}}{\pi}$$ $$48+\frac{32\sqrt{3}}{\pi}$$ $$(32+48\sqrt{3})\pi $$ $$80\pi \sqrt{3}$$ None 30. In the figure above, if line segment AB is parallel to line segment CD,what is the value of y?Write your answer in numbers only Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
