data_source stringclasses 3
values | prompt listlengths 1 1 | images images listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
jinzhuoran/MathVerse-200 | [
{
"content": "In the figure above. What is the value of x?\nChoices:\nA.90\nB.120\nC.144\nD.156\nE.168<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 0,
"question": "In the figure above. What is the value of x?\nChoices:\nA.90\nB.120\nC.144\nD.156\nE.168<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?\nChoices:\nA:$\\sin \\left(0^{\\circ}\\right)$\nB:$\\cos \\left(0^{\\circ}\\right)$\nC:$\\sin \\left(90^{\\circ}\\right)$\nD:$\\cos ... | math | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 1,
"question": "There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?\nChoices:\nA:$\\sin \\left(0^{\\circ}\\right)$\nB:$\\cos \\left(0^{\\circ}\\right)$\nC:$\\sin \\left(90^{\... | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, angle B = 50.0, then the degree of angle C is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 2,
"question": "As shown in the figure, angle B = 50.0, then the degree of angle C is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \\sin \\left(310^{\\circ}\\right) ?\nChoices:\nA:x-coordinate of point A\nB:y-coordinate of point A\nC:x-coordinate of po... | math | {
"ground_truth": "F",
"style": "rule"
} | {
"answer": "F",
"index": 3,
"question": "There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \\sin \\left(310^{\\circ}\\right) ?\nChoices:\nA:x-coordinate of point A\nB:y-coordinate of poi... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the value of H.\n\nRound your answer to the nearest whole number.<image>",
"role": "user"
}
] | math | {
"ground_truth": "19",
"style": "rule"
} | {
"answer": "19",
"index": 4,
"question": "Find the value of H.\n\nRound your answer to the nearest whole number.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?\nChoices:\nA:Positivie\nB:Zero\nC:Negative<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 5,
"question": "Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?\nChoices:\nA:Positivie\nB:Zero\nC:Negative<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure: AB parallel DE, the degree of angle D is ()\nChoices:\nA:115°\nB:120°\nC:100°\nD:80°<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 6,
"question": "As shown in the figure: AB parallel DE, the degree of angle D is ()\nChoices:\nA:115°\nB:120°\nC:100°\nD:80°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "In \\odot P, find the length of \\widehat R S. Round to the nearest hundredth.\nChoices:\nA:2.27\nB:3.91\nC:4.54\nD:7.82<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 7,
"question": "In \\odot P, find the length of \\widehat R S. Round to the nearest hundredth.\nChoices:\nA:2.27\nB:3.91\nC:4.54\nD:7.82<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.\n\n\nWhat distance will the meteoroid travelling towards point B have covered after 29 minutes?<image>",
"role": "user"
}
] | math | {
"ground_truth": "3799 km",
"style": "rule"
} | {
"answer": "3799 km",
"index": 8,
"question": "The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.\n\n\nWhat distance will the meteoroid travelling towards point B have covered after 29 minutes?<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the volume of the sphere shown, giving your answer correct to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Volume $=46827.83 \\mathrm{~mm}^{3}$",
"style": "rule"
} | {
"answer": "Volume $=46827.83 \\mathrm{~mm}^{3}$",
"index": 9,
"question": "Find the volume of the sphere shown, giving your answer correct to two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the surface area of the pyramid.\n\nRound your answer to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "288.6 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "288.6 \\mathrm{m}^2",
"index": 10,
"question": "Find the surface area of the pyramid.\n\nRound your answer to two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the surface area of the solid figure shown. The height is 21 cm.<image>",
"role": "user"
}
] | math | {
"ground_truth": "768 \\mathrm{cm}^2",
"style": "rule"
} | {
"answer": "768 \\mathrm{cm}^2",
"index": 11,
"question": "Find the surface area of the solid figure shown. The height is 21 cm.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA:40°\nB:30°\nC:38°\nD:15°<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 12,
"question": "As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA:40°\nB:30°\nC:38°\nD:15°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\\sqrt{3} x$. If the volume of the prism is $\\frac{81}{4}$, what is the value of $x$ ?\nChoices:\nA:3\nB:4\nC:5\nD:6<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 13,
"question": "The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\\sqrt{3} x$. If the volume of the prism is $\\frac{81}{4}$, what is the value of $x$ ?\nChoices:\nA:3\nB:4\nC:5\nD:6<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.\n\nRound your answer to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Surface Area $=2827.43 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Surface Area $=2827.43 \\mathrm{~cm}^{2}$",
"index": 14,
"question": "Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.\n\nRound your answer to two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Consider the points on the diagram P, A and N where N denotes the north cardinal point.\n\nUsing the diagram, find the true bearing of P from A.<image>",
"role": "user"
}
] | math | {
"ground_truth": "315^\\circT",
"style": "rule"
} | {
"answer": "315^\\circT",
"index": 15,
"question": "Consider the points on the diagram P, A and N where N denotes the north cardinal point.\n\nUsing the diagram, find the true bearing of P from A.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 16,
"question": "As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Below is the graph of a trigonometric function. What is the midline equation of the function?<image>",
"role": "user"
}
] | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 17,
"question": "Below is the graph of a trigonometric function. What is the midline equation of the function?<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()\nChoices:\nA:40°\nB:30°\nC:.70°\nD:50°<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 18,
"question": "As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()\nChoices:\nA:40°\nB:30°\nC:.70°\nD:50°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?\nChoices:\nA.10\nB.8\nC.6\nD.4\nE.2\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 19,
"question": "If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?\nChoices:\nA.10\nB.8\nC.6\nD.4\nE.2\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown.<image>",
"role": "user"
}
] | math | {
"ground_truth": "270 \\mathrm{cm}^3",
"style": "rule"
} | {
"answer": "270 \\mathrm{cm}^3",
"index": 20,
"question": "As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the height of the prism is 2cm. Find the volume of the solid.<image>",
"role": "user"
}
] | math | {
"ground_truth": "32 \\mathrm{cm}^3",
"style": "rule"
} | {
"answer": "32 \\mathrm{cm}^3",
"index": 21,
"question": "As shown in the figure, the height of the prism is 2cm. Find the volume of the solid.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the absolute maximum of the cubic function.<image>",
"role": "user"
}
] | math | {
"ground_truth": "(-1.8,10)",
"style": "rule"
} | {
"answer": "(-1.8,10)",
"index": 22,
"question": "Find the absolute maximum of the cubic function.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 23,
"question": "As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 24,
"question": "As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()\nChoices:\nA:12cm\nB:24cm\nC:6√{3}cm\nD:12√{3}cm<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 25,
"question": "Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()\nChoices:\nA:12cm\nB:24cm\nC:6√{3}cm\nD:12√{3}cm<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find y.\nChoices:\nA:\\frac { \\sqrt { 2 } } { 2 }\nB:\\sqrt { 2 }\nC:2 \\sqrt { 2 }\nD:4 \\sqrt { 2 }<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 26,
"question": "Find y.\nChoices:\nA:\\frac { \\sqrt { 2 } } { 2 }\nB:\\sqrt { 2 }\nC:2 \\sqrt { 2 }\nD:4 \\sqrt { 2 }<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write the equation for g(x).\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "g(x)=x^2-3",
"style": "rule"
} | {
"answer": "g(x)=x^2-3",
"index": 27,
"question": "Write the equation for g(x).\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "In \\odot O, the diameter is 14. Find the length of \\widehat A B. Round to the nearest hundredth.\nChoices:\nA:7.63\nB:9.77\nC:11.13\nD:14.83<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 28,
"question": "In \\odot O, the diameter is 14. Find the length of \\widehat A B. Round to the nearest hundredth.\nChoices:\nA:7.63\nB:9.77\nC:11.13\nD:14.83<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Consider the rectangular prism shown.\n\nWrite a fully expanded and simplified expression for the volume of the prism.<image>",
"role": "user"
}
] | math | {
"ground_truth": "12x^2+144x+384 \\mathrm{m}^3",
"style": "rule"
} | {
"answer": "12x^2+144x+384 \\mathrm{m}^3",
"index": 29,
"question": "Consider the rectangular prism shown.\n\nWrite a fully expanded and simplified expression for the volume of the prism.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the length of side h.<image>",
"role": "user"
}
] | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 30,
"question": "Find the length of side h.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the exact volume of the right pyramid pictured.<image>",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{847}{3} \\mathrm{mm}^3",
"style": "rule"
} | {
"answer": "\\frac{847}{3} \\mathrm{mm}^3",
"index": 31,
"question": "Find the exact volume of the right pyramid pictured.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "What is the range of g?\nChoices:\nA:-4 \\leq g(x) \\leq 9\nB:The $g(x)$-values $-5,-2,1,3$, and 4\nC:The $g(x)$-values $-4,0$, and 9\nD:-5 \\leq g(x) \\leq 4<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 32,
"question": "What is the range of g?\nChoices:\nA:-4 \\leq g(x) \\leq 9\nB:The $g(x)$-values $-5,-2,1,3$, and 4\nC:The $g(x)$-values $-4,0$, and 9\nD:-5 \\leq g(x) \\leq 4<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 33,
"question": "In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()\nChoices:\nA:2.4\nB:2.2\nC:1.8\nD:1.6<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 34,
"question": "As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()\nChoices:\nA:2.4\nB:2.2\nC:1.8\nD:1.6<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The following solid figure has a base radius of 21 m.\n\nFind the surface area.\n\nGive your answer to the nearest two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Surface Area $=9236.28 \\mathrm{~m}^{2}$",
"style": "rule"
} | {
"answer": "Surface Area $=9236.28 \\mathrm{~m}^{2}$",
"index": 35,
"question": "The following solid figure has a base radius of 21 m.\n\nFind the surface area.\n\nGive your answer to the nearest two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 36,
"question": "Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()\nChoices:\nA:2cm\nB:4cm\nC:3cm\nD:5cm<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 37,
"question": "As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()\nChoices:\nA:2cm\nB:4cm\nC:3cm\nD:5cm<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \\cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relation... | math | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 38,
"question": "Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \\cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She w... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Three television presenters are practising their navigation skills before heading off on an expedition to a remote location. Amelia is at point B, Ned is at point A, Bart is at point C. Find d to one decimal place.<image>",
"role": "user"
}
] | math | {
"ground_truth": "22.3",
"style": "rule"
} | {
"answer": "22.3",
"index": 39,
"question": "Three television presenters are practising their navigation skills before heading off on an expedition to a remote location. Amelia is at point B, Ned is at point A, Bart is at point C. Find d to one decimal place.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "\\angle J M K \\cong \\angle R M P. Find m \\angle K L P.\nChoices:\nA:20\nB:110\nC:140\nD:160<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 40,
"question": "\\angle J M K \\cong \\angle R M P. Find m \\angle K L P.\nChoices:\nA:20\nB:110\nC:140\nD:160<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find H P. Round to the nearest hundredth.\nChoices:\nA:2.29\nB:3.35\nC:5.65\nD:6.71<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 41,
"question": "Find H P. Round to the nearest hundredth.\nChoices:\nA:2.29\nB:3.35\nC:5.65\nD:6.71<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the area of the circle shown.\n\nGive your answer as an exact value.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Area $=121 \\pi \\mathrm{cm}^{2}$",
"style": "rule"
} | {
"answer": "Area $=121 \\pi \\mathrm{cm}^{2}$",
"index": 42,
"question": "Find the area of the circle shown.\n\nGive your answer as an exact value.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "FK H and J I are parallel. Find K J.\nChoices:\nA:2\nB:4\nC:6\nD:8<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 43,
"question": "FK H and J I are parallel. Find K J.\nChoices:\nA:2\nB:4\nC:6\nD:8<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the surface area of this prism.<image>",
"role": "user"
}
] | math | {
"ground_truth": "534 \\mathrm{cm}^2",
"style": "rule"
} | {
"answer": "534 \\mathrm{cm}^2",
"index": 44,
"question": "Find the surface area of this prism.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Determine whether the graph represents a one-to-one function.\nChoices:\nA.This is a one-to-one function\nB.This is not a one-to-one function<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 45,
"question": "Determine whether the graph represents a one-to-one function.\nChoices:\nA.This is a one-to-one function\nB.This is not a one-to-one function<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown.<image>",
"role": "user"
}
] | math | {
"ground_truth": "270 \\mathrm{cm}^3",
"style": "rule"
} | {
"answer": "270 \\mathrm{cm}^3",
"index": 46,
"question": "As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The graph shows Jimmy's speed while he is competing in a bike race. Which situation corresponds to the graph?\nChoices:\nA:Jimmy starts off by increasing his pace gradually and then stops as he trips over a stick,but then recovers and is able to increase his speed until the end of the race\nB:Jimm... | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 47,
"question": "The graph shows Jimmy's speed while he is competing in a bike race. Which situation corresponds to the graph?\nChoices:\nA:Jimmy starts off by increasing his pace gradually and then stops as he trips over a stick,but then recovers and is able to increase his speed until ... | |
jinzhuoran/MathVerse-200 | [
{
"content": "In isosceles triangle R S T, \\angle S R T is 70 degrees. Find m \\angle R S T.\nChoices:\nA:55\nB:70\nC:75\nD:80<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 48,
"question": "In isosceles triangle R S T, \\angle S R T is 70 degrees. Find m \\angle R S T.\nChoices:\nA:55\nB:70\nC:75\nD:80<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.\nChoices:\nA:32\nB:35\nC:36\nD:40<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 49,
"question": "Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.\nChoices:\nA:32\nB:35\nC:36\nD:40<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, chord DE parallel AB, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 50,
"question": "As shown in the figure, chord DE parallel AB, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the measure of the side of \\triangle L M N.\nChoices:\nA:9\nB:10\nC:11\nD:12<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 51,
"question": "Find the measure of the side of \\triangle L M N.\nChoices:\nA:9\nB:10\nC:11\nD:12<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.\nChoices:\nA:\\frac { 1 } { 3 }\nB:\\frac { 2 } { 3 }\nC:\\frac { 3 } { 4 }\nD:\\frac { 3 } { 2 }<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 52,
"question": "Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.\nChoices:\nA:\\frac { 1 } { 3 }\nB:\\frac { 2 } { 3 }\nC:\\frac { 3 } { 4 }\nD:\\frac { 3 } { 2 }<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the centre of the figure. Write your answer in the form ( _ , _ ).\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "(-3,-3)",
"style": "rule"
} | {
"answer": "(-3,-3)",
"index": 53,
"question": "Find the centre of the figure. Write your answer in the form ( _ , _ ).\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find y.\nChoices:\nA:4\nB:6\nC:8\nD:10<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 54,
"question": "Find y.\nChoices:\nA:4\nB:6\nC:8\nD:10<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the circle O is the circumscribed circle of triangle ABC and the bisector of angle BAC and angle ABC intersects at point I, then the length of DI is ()\nChoices:\nA:4√{3}+2\nB:4√{3}+3\nC:8√{3}+1\nD:8√{3}<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 55,
"question": "As shown in the figure, the circle O is the circumscribed circle of triangle ABC and the bisector of angle BAC and angle ABC intersects at point I, then the length of DI is ()\nChoices:\nA:4√{3}+2\nB:4√{3}+3\nC:8√{3}+1\nD:8√{3}<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden increases, what does its p... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 56,
"question": "Elena knows that Lea has a garden with an area of 100 square meters. She does not know the specific width, $w$, and length, $l$ of the garden. The graph below represents the widths that correspond to possible lengths of Lea's garden. As the possible width of Lea's garden... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write an equation for the graphed function f.\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "When x<=-3 $f(x) = -x-5$, when x>3, $f(x)=x+1$",
"style": "rule"
} | {
"answer": "When x<=-3 $f(x) = -x-5$, when x>3, $f(x)=x+1$",
"index": 57,
"question": "Write an equation for the graphed function f.\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find x so that the quadrilateral is a parallelogram.\nChoices:\nA:3\nB:5\nC:12\nD:18<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 58,
"question": "Find x so that the quadrilateral is a parallelogram.\nChoices:\nA:3\nB:5\nC:12\nD:18<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 59,
"question": "As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Do the following graph have inverse functions?\nChoices:\nA:Yes\nB:No<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 60,
"question": "Do the following graph have inverse functions?\nChoices:\nA:Yes\nB:No<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \\sqrt { 2 }. Find x.\nChoices:\nA:\\sqrt { 7 }\nB:3 \\sqrt { 2 }\nC:3 \\sqrt { 3 }\nD:3 \\sqrt { 6 }<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 61,
"question": "There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \\sqrt { 2 }. Find x.\nChoices:\nA:\\sqrt { 7 }\nB:3 \\sqrt { 2 }\nC:3 \\sqrt { 3 }\nD:3 \\sqrt { 6 }<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 62,
"question": "As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the \nxy-plane are shown above. How many solutions \ndoes the system have?\nChoices:\nA:One\nB:Two\nC:Three\nD:Four<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 63,
"question": "A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the \nxy-plane are shown above. How many solutions \ndoes the system have?\nChoices:\nA:One\nB:Two\nC:Three\nD:Four<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()\nChoices:\nA:75°\nB:45°\nC:30°\nD:15°<image>",
"rol... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 64,
"question": "As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()\nChoices:\nA:75°\nB:45°\nC:3... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write an equation for the graphed function f.<image>",
"role": "user"
}
] | math | {
"ground_truth": "When x<=3 $f(x)=-x+1$, when x>3, $f(x)=x-5$",
"style": "rule"
} | {
"answer": "When x<=3 $f(x)=-x+1$, when x>3, $f(x)=x-5$",
"index": 65,
"question": "Write an equation for the graphed function f.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write the set of numbers represented on the number line in interval notation.<image>",
"role": "user"
}
] | math | {
"ground_truth": "(-\\infty, 4]",
"style": "rule"
} | {
"answer": "(-\\infty, 4]",
"index": 66,
"question": "Write the set of numbers represented on the number line in interval notation.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?\nChoices:\nA.10\nB.8\nC.6\nD.4\nE.2\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 67,
"question": "If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?\nChoices:\nA.10\nB.8\nC.6\nD.4\nE.2\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "State the radius.\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 68,
"question": "State the radius.\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write the domain and range of the function using interval notation.\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "domain: [-6,-\\frac{1}{6}] \\cup[\\frac{1}{6}, 6] and range: [-6,-\\frac{1}{6}\\right] \\cup[\\frac{1}{6}, 6]",
"style": "rule"
} | {
"answer": "domain: [-6,-\\frac{1}{6}] \\cup[\\frac{1}{6}, 6] and range: [-6,-\\frac{1}{6}\\right] \\cup[\\frac{1}{6}, 6]",
"index": 69,
"question": "Write the domain and range of the function using interval notation.\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\\sin x. Its first maximum point for x\\ge 0 is at \\left(90^\\circ ,1\\right).\n\nBy consideri... | math | {
"ground_truth": "y=\\sin x=\\left(90^\\circ ,5\\right)",
"style": "rule"
} | {
"answer": "y=\\sin x=\\left(90^\\circ ,5\\right)",
"index": 70,
"question": "The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\\sin x. Its first maximum point... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Which of the following could be the equation of the graphed line?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 71,
"question": "Which of the following could be the equation of the graphed line?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Given the diagram shown, find a to the nearest degree.<image>",
"role": "user"
}
] | math | {
"ground_truth": "62^\\circ ",
"style": "rule"
} | {
"answer": "62^\\circ ",
"index": 72,
"question": "Given the diagram shown, find a to the nearest degree.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "A circle with a radius of $50 \\mathrm{~cm}$. Find the area of the circle shown.\n\nGive your answer as an exact value.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Area $=2500 \\pi \\mathrm{cm}^{2}$",
"style": "rule"
} | {
"answer": "Area $=2500 \\pi \\mathrm{cm}^{2}$",
"index": 73,
"question": "A circle with a radius of $50 \\mathrm{~cm}$. Find the area of the circle shown.\n\nGive your answer as an exact value.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, then the degree of angle a is ()\nChoices:\nA:25°\nB:30°\nC:35°\nD:45°<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 74,
"question": "As shown in the figure, the line l parallel m parallel n, the vertices B and C of the triangle ABC are on the line n and line m, the angle between BC and the line n is 25.0, then the degree of angle a is ()\nChoices:\nA:25°\nB:30°\nC:35°\nD:45°<image>",
"split": "tra... | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}<image>",
"role": "user"
}
... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 75,
"question": "As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}<image... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 76,
"question": "Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 77,
"question": "A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$<image>",
"split": "train... | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the total surface area of the solid figure shown.<image>",
"role": "user"
}
] | math | {
"ground_truth": "608 \\mathrm{cm}^2",
"style": "rule"
} | {
"answer": "608 \\mathrm{cm}^2",
"index": 78,
"question": "Find the total surface area of the solid figure shown.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.\nChoices:\nA:Yes\nB:No<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 79,
"question": "The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.\nChoices:\nA:Yes\nB:No<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The height of solid figure is 22 cm.\n\nHence, find the total surface area of the shape.\n\nGive our answer to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Total surface area $=4194.03 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Total surface area $=4194.03 \\mathrm{~cm}^{2}$",
"index": 80,
"question": "The height of solid figure is 22 cm.\n\nHence, find the total surface area of the shape.\n\nGive our answer to two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.\n\nUse your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "23.41",
"style": "rule"
} | {
"answer": "23.41",
"index": 81,
"question": "The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.\n\nUse your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places.<image>",
... | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 82,
"question": "As shown in the figure, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "In this question we will find the surface area of the following solid hemispher with a radius of 6:\n\nWhat is the area of the circular base of the hemisphere?\n\nRound your answer to three decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Area $=113.097$ units $^{2}$",
"style": "rule"
} | {
"answer": "Area $=113.097$ units $^{2}$",
"index": 83,
"question": "In this question we will find the surface area of the following solid hemispher with a radius of 6:\n\nWhat is the area of the circular base of the hemisphere?\n\nRound your answer to three decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the height $h$ mm of this closed cylinder if its surface area (S) is 27288(mm)$^2$.\n\nRound your answer to the nearest whole number.<image>",
"role": "user"
}
] | math | {
"ground_truth": "$h=58$",
"style": "rule"
} | {
"answer": "$h=58$",
"index": 84,
"question": "Find the height $h$ mm of this closed cylinder if its surface area (S) is 27288(mm)$^2$.\n\nRound your answer to the nearest whole number.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "In the figure, a regular polygon is within in a circle. Find the measure of a central angle.\nChoices:\nA:30\nB:60\nC:90\nD:120<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 85,
"question": "In the figure, a regular polygon is within in a circle. Find the measure of a central angle.\nChoices:\nA:30\nB:60\nC:90\nD:120<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.\nChoices:\nA:2\nB:3.6\nC:5\nD:6<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 86,
"question": "Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.\nChoices:\nA:2\nB:3.6\nC:5\nD:6<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \\mathrm{~cm}$ of rainfall, the number of mosquitos is the... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 87,
"question": "The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \\mathrm{~cm}$ of rainfall, the... | |
jinzhuoran/MathVerse-200 | [
{
"content": "The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.\n\nThe edge length VA is 23cm.\nNow, if the size of \\angle VAW is \\theta °, find \\theta to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "68.34",
"style": "rule"
} | {
"answer": "68.34",
"index": 88,
"question": "The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.\n\nThe edge length VA is 23cm.\nNow, if the size of \\angle VAW is \\theta °, find \\theta to two decimal places.<ima... | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 89,
"question": "As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Calculate the area of the following triangle.\n\nRound your answer to two decimal places.<image>",
"role": "user"
}
] | math | {
"ground_truth": "60.21 \\mathrm{m}^2",
"style": "rule"
} | {
"answer": "60.21 \\mathrm{m}^2",
"index": 90,
"question": "Calculate the area of the following triangle.\n\nRound your answer to two decimal places.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "\\triangle R S T \\cong \\triangle A B C. Find x.\nChoices:\nA:8\nB:10\nC:13\nD:21<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 91,
"question": "\\triangle R S T \\cong \\triangle A B C. Find x.\nChoices:\nA:8\nB:10\nC:13\nD:21<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write an equation for the transformation of f(x)=|x| as shown in the figure.<image>",
"role": "user"
}
] | math | {
"ground_truth": "f(x)=\\frac{1}{2}|x+2|+1",
"style": "rule"
} | {
"answer": "f(x)=\\frac{1}{2}|x+2|+1",
"index": 92,
"question": "Write an equation for the transformation of f(x)=|x| as shown in the figure.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Write an equation for the surface area of the above cylinder. You must factorise this expression fully.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Surface area $=2 \\pi(R+r)(L+R-r)$ square units",
"style": "rule"
} | {
"answer": "Surface area $=2 \\pi(R+r)(L+R-r)$ square units",
"index": 93,
"question": "Write an equation for the surface area of the above cylinder. You must factorise this expression fully.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Consider the adjacent figure:\n\nSolve for the exact value of x.<image>",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{\\sqrt{30}}{2}",
"style": "rule"
} | {
"answer": "\\frac{\\sqrt{30}}{2}",
"index": 94,
"question": "Consider the adjacent figure:\n\nSolve for the exact value of x.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "The graphs of logarithm function $f(x)=\\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n<image>",
"role": "user"
}
] | math | {
"ground_truth": "$g(x)=\\ln x+4$",
"style": "rule"
} | {
"answer": "$g(x)=\\ln x+4$",
"index": 95,
"question": "The graphs of logarithm function $f(x)=\\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "Find the value of x in the diagram.\nChoices:\nA:68\nB:78\nC:79\nD:136<image>",
"role": "user"
}
] | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 96,
"question": "Find the value of x in the diagram.\nChoices:\nA:68\nB:78\nC:79\nD:136<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the same maximum.<image>",
"role": "user"
}
] | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 97,
"question": "f(x)=-5(x+4)^2+8. Which function has a greater maximum, f(x) or g(x)?\nChoices:\nA:$f$ has a greater maximum than $g$.\nB:$g$ has a greater maximum than $f$.\nC:$f$ and $g$ share the same maximum.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place.<image>",
"role": "user"
}
] | math | {
"ground_truth": "Surface area $=78.5 \\mathrm{~cm}^{2}$",
"style": "rule"
} | {
"answer": "Surface area $=78.5 \\mathrm{~cm}^{2}$",
"index": 98,
"question": "A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place.<image>",
"split": "train"
} | |
jinzhuoran/MathVerse-200 | [
{
"content": "As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()\nChoices:\nA:35°\nB:55°\nC:60°\nD:70°<image>",
"role": "user"
}
] | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 99,
"question": "As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()\nChoices:\nA:35°\nB:55°\nC:60°\nD:70°<image>",
"split": "train"
} |
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