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[{"id": "50", "category": "deductive", "image_path": "MathVista_images/50.jpg", "question": "Based on the food web, what would likely happen if the number of large roach would decrease?\nChoices:\n(A) The population of steelheads would decrease.\n(B) The population of stickleback fry would increase.\n(C) The population of predatory insects would increase.\n(D) The population of predatory insects would decrease.", "answer": "D"}, {"id": "80", "category": "deductive", "image_path": "MathVista_images/80.jpg", "question": "According to the food web, what will happen if all the algae died due to pesticides?\nChoices:\n(A) Crabs and limpets will decrease\n(B) Dolphins will increase\n(C) Sea gulls will become extinct\n(D) Star fish will increase", "answer": "A"}, {"id": "293", "category": "deductive", "image_path": "MathVista_images/293.jpg", "question": "From the above food web diagram, grasshopper population increase if\nChoices:\n(A) grouse decrease\n(B) chipmunk increases\n(C) grasses increases\n(D) elk increase", "answer": "C"}, {"id": "370", "category": "deductive", "image_path": "MathVista_images/370.jpg", "question": "In the diagram of the food web shown, if the number of ferns decrease, the supply of salmon will most likely?\nChoices:\n(A) decrease\n(B) can't tell\n(C) stay same\n(D) increase", "answer": "A"}, {"id": "379", "category": "deductive", "image_path": "MathVista_images/379.jpg", "question": "In the diagram of the food web shown what will most directly be affected by the loss of the trees?\nChoices:\n(A) horses\n(B) cats\n(C) nothing\n(D) bears", "answer": "A"}, {"id": "396", "category": "deductive", "image_path": "MathVista_images/396.jpg", "question": "From the above food web diagram, if all the algae dies then water flea population will\nChoices:\n(A) remains the same\n(B) decrease\n(C) increase\n(D) NA", "answer": "B"}, {"id": "431", "category": "deductive", "image_path": "MathVista_images/431.jpg", "question": "From the above food web diagram, what would happen to dragonfly if all mayfly dies\nChoices:\n(A) remains the same\n(B) increase\n(C) decrease\n(D) NA", "answer": "C"}, {"id": "642", "category": "deductive", "image_path": "MathVista_images/642.jpg", "question": "Line AB is tangent to circle O. If AB = 8 and OB = 10, find the diameter of the circle.\nChoices:\n(A) 4\n(B) 6\n(C) 8\n(D) 10\n(E) 12", "answer": "E"}, {"id": "643", "category": "deductive", "image_path": "MathVista_images/643.jpg", "question": "As shown in the figure, CD is the diameter of \u2299O, chord DE \u2225 OA, if the degree of \u2220D is 50.0, then the degree of \u2220C is ()\nChoices:\n(A) 25\u00b0\n(B) 30\u00b0\n(C) 40\u00b0\n(D) 50\u00b0", "answer": "A"}, {"id": "674", "category": "deductive", "image_path": "MathVista_images/674.jpg", "question": "In the figure above, CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCDE?\nChoices:\n(A) 4\n(B) 5\n(C) 6\n(D) 7\n(E) 8", "answer": "B"}, {"id": "675", "category": "deductive", "image_path": "MathVista_images/675.jpg", "question": "As shown in the figure, the cross section of a small reservoir dam is a right trapezoid, the width of crest BC is 6.0, the height of dam is 14.0, and the slope of the slope CD is i = 1.0:2.0, then the length of the dam bottom AD is ()\nChoices:\n(A) 13m\n(B) 34m\n(C) (6+14\u221a{3})m\n(D) 40m", "answer": "B"}, {"id": "679", "category": "deductive", "image_path": "MathVista_images/679.jpg", "question": "As shown in the figure, in \u25b1ABCD, the diagonal AC and BD intersect at point O, if AC = 12.0, BD = 8.0, AB = 7.0, then the perimeter of \u25b3OAB is ()\nChoices:\n(A) 15\n(B) 17\n(C) 21\n(D) 27", "answer": "B"}, {"id": "682", "category": "deductive", "image_path": "MathVista_images/682.jpg", "question": "From the above food web diagram, if all the grass dies then population of squirrel will\nChoices:\n(A) decrease\n(B) remains the same\n(C) increase\n(D) NA", "answer": "A"}, {"id": "697", "category": "deductive", "image_path": "MathVista_images/697.jpg", "question": "As shown in the figure, in the parallelogram ABCD, it is known that AB = 6.0, BC = 9.0, \u2220B = 30.0, then the area of \u200b\u200bthe parallelogram ABCD is ()\nChoices:\n(A) 12\n(B) 18\n(C) 27\n(D) 54", "answer": "C"}, {"id": "708", "category": "deductive", "image_path": "MathVista_images/708.jpg", "question": "As shown in the figure, the light source P is directly above the crossbar AB, the shadow of AB under the light is CD, AB \u2225 CD, AB = 2.0, CD = 5.0, the distance between point P and CD is 3.0, then the distance between AB and CD is ().\nChoices:\n(A) \\frac{6}{5}\n(B) \\frac{7}{6}\n(C) \\frac{9}{5}\n(D) \\frac{15}{2}", "answer": "C"}, {"id": "744", "category": "deductive", "image_path": "MathVista_images/744.jpg", "question": "If RL = 5, RT = 9, and WS = 6, find RW.\nChoices:\n(A) 5.4\n(B) 6\n(C) 6.6\n(D) 7.5", "answer": "D"}, {"id": "747", "category": "deductive", "image_path": "MathVista_images/747.jpg", "question": "In $\\odot M$, $FL=24,HJ=48$, and $m \\widehat {HP}=65$. Find $m \\widehat {HJ}$.\nChoices:\n(A) 65\n(B) 120\n(C) 130\n(D) 155", "answer": "C"}, {"id": "748", "category": "deductive", "image_path": "MathVista_images/748.jpg", "question": "As shown in the figure, PA and PB are tangents of \u2299O, the tangent point of point A and B, AC is the diameter of \u2299O, given that \u2220P = 50.0, then the size of \u2220ACB is ()\nChoices:\n(A) 65\u00b0\n(B) 60\u00b0\n(C) 55\u00b0\n(D) 50\u00b0", "answer": "A"}, {"id": "749", "category": "deductive", "image_path": "MathVista_images/749.jpg", "question": "As shown in the figure, in \u25b3ABC, DE \u2225 BC, if AB = 7.0, AC = 5.0, AD = 3.0, then DE = ()\nChoices:\n(A) \\frac{15}{4}cm\n(B) \\frac{20}{3}cm\n(C) \\frac{15}{7}cm\n(D) \\frac{20}{7}cm", "answer": "D"}, {"id": "754", "category": "deductive", "image_path": "MathVista_images/754.jpg", "question": "Base your answers on the diagram below, which shows a partial food web. What will happen to fish population if algae's are decreased?\nChoices:\n(A) Population will decrease\n(B) Population will remain the same\n(C) Population will increase\n(D) None of the above", "answer": "A"}, {"id": "773", "category": "deductive", "image_path": "MathVista_images/773.jpg", "question": "As shown in the figure, AB is the diameter of \u2299O, point D is on the extended line of AB, passing point D is the tangent of \u2299O, and the tangent point is C, if \u2220A = 25.0, then \u2220D = ()\nChoices:\n(A) 25\u00b0\n(B) 40\u00b0\n(C) 50\u00b0\n(D) 65\u00b0", "answer": "B"}, {"id": "777", "category": "deductive", "image_path": "MathVista_images/777.jpg", "question": "In rhombus LMPQ, $m \\angle Q L M=2 x^{2}-10$, $m \\angle Q P M=8 x$, and $M P=10$ . \r\nFind the perimeter of $LMPQ$\nChoices:\n(A) 10\n(B) 40\n(C) 70\n(D) 140", "answer": "B"}, {"id": "783", "category": "deductive", "image_path": "MathVista_images/783.jpg", "question": "In order to measure the width of parallel river AB, \u2220ACB = 30.0, \u2220ADB = 60.0, CD = 60.0, then the width of the river AB is ()\nChoices:\n(A) 30m\n(B) 30\u221a{3}m\n(C) (30\u221a{3}+30)m\n(D) (30\u221a{3}-30)m", "answer": "B"}, {"id": "798", "category": "deductive", "image_path": "MathVista_images/798.jpg", "question": "In the figure above, l || m. Which of the following must equal 180?\nChoices:\n(A) k + n + r\n(B) k + p + s\n(C) n + p + s\n(D) n + p + t\n(E) r + s + t", "answer": "B"}, {"id": "806", "category": "deductive", "image_path": "MathVista_images/806.jpg", "question": "As shown in the figure, AB is the diameter of \u2299O, and point C is on \u2299O. If \u2220A = 40.0, then the degree of \u2220B is ()\nChoices:\n(A) 80\u00b0\n(B) 60\u00b0\n(C) 50\u00b0\n(D) 40\u00b0", "answer": "C"}, {"id": "817", "category": "deductive", "image_path": "MathVista_images/817.jpg", "question": "As shown in the figure, the straight line a \u2225 b, the point B is on the straight line b, and AB \u22a5 BC, \u22202 = 65.0, then the degree of \u22201 is ()\nChoices:\n(A) 65\u00b0\n(B) 25\u00b0\n(C) 35\u00b0\n(D) 45\u00b0", "answer": "B"}, {"id": "820", "category": "deductive", "image_path": "MathVista_images/820.jpg", "question": "$a=14, b=48,$ and $c=50$ find $cosA$\nChoices:\n(A) 0.14\n(B) 0.48\n(C) 0.50\n(D) 0.96", "answer": "D"}, {"id": "853", "category": "deductive", "image_path": "MathVista_images/853.jpg", "question": "As shown in the figure, in the diamond ABCD, \u2220BAD = 120.0, the length of the diagonal AC is 3.0, then the perimeter of the diamond ABCD is ()\nChoices:\n(A) 3\n(B) 6\n(C) 9\n(D) 12", "answer": "D"}, {"id": "858", "category": "deductive", "image_path": "MathVista_images/858.jpg", "question": "On the basis of the given food web, which organism will increase in number if there were no seals?\nChoices:\n(A) Shark\n(B) Small Shrimp\n(C) Octopus\n(D) Mysid Shrimp", "answer": "C"}, {"id": "887", "category": "deductive", "image_path": "MathVista_images/887.jpg", "question": "As shown in the figure, \u25b3ABC is the inscribed triangle of \u2299O. If \u2220ABC = 70.0, then the degree of \u2220AOC is equal to ()\nChoices:\n(A) 140\u00b0\n(B) 130\u00b0\n(C) 120\u00b0\n(D) 110\u00b0", "answer": "A"}, {"id": "898", "category": "deductive", "image_path": "MathVista_images/898.jpg", "question": "As shown in the figure, A, B, and C are the three points on \u2299O, if \u2220C = 35.0, then the degree of \u2220OAB is ()\nChoices:\n(A) 35\u00b0\n(B) 55\u00b0\n(C) 65\u00b0\n(D) 70\u00b0", "answer": "B"}, {"id": "903", "category": "deductive", "image_path": "MathVista_images/903.jpg", "question": "As shown in the figure, if \u2220ABC = 30.0, then the degree of \u2220AOC is ()\nChoices:\n(A) 30\u00b0\n(B) 45\u00b0\n(C) 60\u00b0\n(D) 70\u00b0", "answer": "C"}, {"id": "909", "category": "deductive", "image_path": "MathVista_images/909.jpg", "question": "As shown in the figure, in \u25b3ABC, DE \u2225 BC, if AD = 1.0, DB = 2.0, then the value of \\frac ADAB is ()\nChoices:\n(A) \\frac{2}{3}\n(B) \\frac{1}{4}\n(C) \\frac{1}{3}\n(D) \\frac{1}{2}", "answer": "C"}, {"id": "916", "category": "deductive", "image_path": "MathVista_images/916.jpg", "question": "As shown in the figure, in Rt\u25b3ABC, \u2220C = 90.0, \u2220A = 30.0, BC = 2.0, the radius of \u2299C is 1.0, point P is the point on the hypotenuse AB, passing point P is a tangent PQ of \u2299C (Point Q is the tangent point), then the minimum value of the line segment PQ is ()\nChoices:\n(A) 2\n(B) \u221a{3}\n(C) \u221a{2}\n(D) 2-\\frac{\u221a{3}}{3}", "answer": "C"}, {"id": "931", "category": "deductive", "image_path": "MathVista_images/931.jpg", "question": "As shown in the figure, \u25b3ABC is the inscribed triangle of \u2299O, AB is the diameter of \u2299O, point D is a point on \u2299O, if \u2220ACD = 40.0, then the size of \u2220BAD is ()\nChoices:\n(A) 35\u00b0\n(B) 50\u00b0\n(C) 40\u00b0\n(D) 60\u00b0", "answer": "B"}, {"id": "938", "category": "deductive", "image_path": "MathVista_images/938.jpg", "question": "In the figure, $m \u22209 = 75$. Find the measure of $\\angle 6$.\nChoices:\n(A) 75\n(B) 85\n(C) 95\n(D) 105", "answer": "D"}, {"id": "952", "category": "deductive", "image_path": "MathVista_images/952.jpg", "question": "Base your answers on the food web below and on your knowledge of biology. A decrease in the Aquatic crustaceans population will most immediately decrease the available energy for the\nChoices:\n(A) Minnows\n(B) Ducks\n(C) Fish\n(D) Raccoons", "answer": "C"}, {"id": "954", "category": "deductive", "image_path": "MathVista_images/954.jpg", "question": "A partial food web is shown below. Which of the following will most likely happen if the snake population decreases?\nChoices:\n(A) Cricket will increase\n(B) Mouse will increase\n(C) Rabbit will increase\n(D) All of above", "answer": "D"}, {"id": "1", "category": "deductive", "image_path": "MathVista_images/1.jpg", "question": "When a spring does work on an object, we cannot find the work by simply multiplying the spring force by the object's displacement. The reason is that there is no one value for the force-it changes. However, we can split the displacement up into an infinite number of tiny parts and then approximate the force in each as being constant. Integration sums the work done in all those parts. Here we use the generic result of the integration. In Figure, a cumin canister of mass $m=0.40 mathrm{~kg}$ slides across a horizontal frictionless counter with speed $v=0.50 mathrm{~m} / mathrm{s}$. It then runs into and compresses a spring of spring constant $k=750 mathrm{~N} / mathrm{m}$. When the canister is momentarily stopped by the spring, by what distance $d$ is the spring compressed? \nA. 0.8\nB. 0.6\nC. 1.0\nD. 1.2", "answer": "D"}, {"id": "6", "category": "deductive", "image_path": "MathVista_images/6.jpg", "question": "As shown in the figure, if CB = 4.0, DB = 7.0, and D is the midpoint of AC, then the length of AC is () \nA. 6cm\nB. 7cm\nC. 4cm\nD. 5cm", "answer": "A"}, {"id": "13", "category": "deductive", "image_path": "MathVista_images/13.jpg", "question": "How many objects are preferred by more than 90 percent of people in at least one category? \nA. 0\nB. 4\nC. 8\nD. 10", "answer": "A"}, {"id": "15", "category": "deductive", "image_path": "MathVista_images/15.jpg", "question": "Which organism with be most affected if algae was eliminated? \nA. Tilapia\nB. Common water flea\nC. Great diving beetle\nD. Tadpole", "answer": "B"}, {"id": "18", "category": "deductive", "image_path": "MathVista_images/18.jpg", "question": "The passage below describes an experiment. Read the passage and then follow the instructions below. Linda applied a thin layer of wax to the underside of her snowboard and rode the board straight down a hill. Then, she removed the wax and rode the snowboard straight down the hill again. She repeated the rides four more times, alternating whether she rode with a thin layer of wax on the board or not. Her friend Bob timed each ride. Linda and Bob calculated the average time it took to slide straight down the hill on the snowboard with wax compared to the average time on the snowboard without wax. Figure: snowboarding down a hill. Identify the question that Linda and Bob's experiment can best answer. \nA. Does Linda's snowboard slide down a hill in less time when it has a thin layer of wax or a thick layer of wax?\nB. Does Linda's snowboard slide down a hill in less time when it has a layer of wax or when it does not have a layer of wax?\nC. Does Linda fall\nD. Does Linda's snowboard slide down a hill in less time when it is sliding on ice or on snow?", "answer": "B"}, {"id": "30", "category": "deductive", "image_path": "MathVista_images/30.jpg", "question": "As shown in the figure, the two chords AB and CD in the circle intersect at E, \u2220D = 35.0, \u2220AEC = 105.0, then \u2220C = () \nA. 60\u00b0\nB. 85\u00b0\nC. 80\u00b0\nD. 70\u00b0", "answer": "D"}, {"id": "44", "category": "deductive", "image_path": "MathVista_images/44.jpg", "question": "Chase wants to buy 4 kilograms of oval beads and 5 kilograms of star-shaped beads. How much will he spend? (Unit: $) \nA. 14\nB. 16\nC. 18\nD. 20", "answer": "C"}, {"id": "46", "category": "deductive", "image_path": "MathVista_images/46.jpg", "question": "What would happen to the population of adult spiders if predator ate all the spider eggs? \nA. Adult spider population would remain the same\nB. Adult spider population would double.\nC. Adults spider population would decrease\nD. Adult spider population would increase.", "answer": "C"}, {"id": "54", "category": "deductive", "image_path": "MathVista_images/54.jpg", "question": "In the figure above, the ratio of the length of line AB to the length of line AC is 2 : 5. If AC = 25, what is the length of line AB? \nA. 8\nB. 10\nC. 15\nD. 18", "answer": "B"}, {"id": "59", "category": "deductive", "image_path": "MathVista_images/59.jpg", "question": "As shown in the figure, AB is the diameter of \u2299O, CD is the chord of \u2299O, \u2220ADC = 26.0, then the degree of \u2220CAB is () \nA. 26\u00b0\nB. 74\u00b0\nC. 64\u00b0\nD. 54\u00b0", "answer": "C"}, {"id": "76", "category": "deductive", "image_path": "MathVista_images/76.jpg", "question": "What happens to fish if pelicans increase? \nA. decrease\nB. nothing\nC. increase\nD. none of the above", "answer": "A"}, {"id": "79", "category": "deductive", "image_path": "MathVista_images/79.jpg", "question": "As shown in the figure, points A, B, C, and D are on circle O, and point E is on the extended line of AD. If \u2220ABC = 60.0, then the degree of \u2220CDE is () \nA. 30\u00b0\nB. 45\u00b0\nC. 60\u00b0\nD. 70\u00b0", "answer": "C"}, {"id": "95", "category": "deductive", "image_path": "MathVista_images/95.jpg", "question": "As shown in the figure, the straight lines AB and CD intersect at point O, OD bisects \u2220AOE, \u2220BOC = 50.0, then \u2220EOB = () \nA. 60\u00b0\nB. 90\u00b0\nC. 120\u00b0\nD. 80\u00b0", "answer": "D"}]