id stringlengths 6 18 | image imagewidth (px) 70 4.26k | question stringlengths 10 747 | reference_answer stringlengths 1 336 |
|---|---|---|---|
STEM-107 | When ordering the four labeled vertices strictly by their horizontal position from left to right in the image, which vertex occupies the 2nd position? | Vertex C | |
STEM-108 | If a vertical line sweeps continuously across the image from left to right, which of the four black vertex dots is the exactly 3rd one to be intersected? | Vertex B | |
STEM-110 | If the lines containing segments AB and DC are extended infinitely, on which side of the quadrilateral do they eventually intersect: the side of segment AD or the side of segment BC? | The side of segment AD | |
STEM-111 | Assuming the adjacent arcs at vertex C define a valid angle bisector, which labeled point visually violates the angle bisector locus theorem regarding its distance to the triangle's sides? | Point D | |
STEM-113 | If the three line segments (AB, BC, CA) are extended into infinite lines in a standard Cartesian coordinate system (where the y-axis points upwards), rank them by their mathematical slope from strictly most negative to most positive. Which segment has the exactly median (2nd) slope in this ordering? | Segment AB | |
STEM-115 | Excluding F itself, rank the other six labeled points by their straight-line distance to F, from closest to furthest. Which two points occupy the exactly tied 3rd and 4th positions in this distance ranking? | A and D | |
STEM-119 | Imagine a minimal axis-aligned bounding box that completely encloses the pentagon. Exactly one vertex lies strictly inside this box (touching none of its four boundaries). What are the labels of the two vertices that share an edge with this specific interior vertex, listed in alphabetical order? | B, E | |
STEM-120 | Ordering the four labeled vertices strictly by their horizontal coordinate from left to right, what is the exact label of the 3rd vertex? | D | |
STEM-128 | According to the Triangle Angle Sum Theorem, if ray BA and ray BD were incorrectly assumed to form a perfectly straight line, which specific interior angle of triangle ABC would be forced to have a measure of exactly 0 degrees? | Angle BAC | |
STEM-130 | Identify all explicitly labeled vertices that do NOT belong to any closed cycle in the drawing. If you sort their single-letter labels alphabetically, what is the 2nd label? | F | |
STEM-133 | If all three pairs of labeled vertices were connected to form a triangle, which resulting line segment would have the median absolute slope relative to the image's vertical axis? | Segment BC | |
STEM-134 | At vertex A, there are two overlapping right-angle square symbols. Focus strictly on the right-angle symbol that designates angle CAF. Which specific line segment visually passes directly through the interior region of this drawn square symbol? | Segment AD | |
STEM-139 | Considering only the seven explicitly labeled black dots (A through G), if you order them strictly from smallest (leftmost) to largest (rightmost) based exclusively on their x-coordinates, which point occupies the exactly 3rd position? | Point G | |
STEM-141 | If this diagram is strictly interpreted as a graph embedding where the six labeled black dots are the ONLY vertices, exactly how many edge crossings violate the definition of a "planar embedding"? | 2 | |
STEM-149 | Treat the figure as a planar graph where every labeled point is a vertex and every minimal line segment connecting two points without containing another vertex is an edge. Let X be the degree of vertex C, and Y be the sum of the degrees of all vertices strictly inside the outermost boundary CDEFAB. What is the exact va... | -1 | |
STEM-151 | Which labeled line segment is visually crossed by the strokes of the right-angle annotation symbol at vertex B? | Segment AB | |
STEM-152 | Assuming a standard Cartesian coordinate system (up is +y, right is +x), rank the three edges incident to vertex B by their geometric slopes from most negative to most positive. Which edge is 2nd in this sequence? | Edge EB | |
STEM-154 | Exactly two explicitly drawn line segments cross at a point that lacks a solid black vertex dot. If you rank these two intersecting segments by length (longest to shortest), what is the total number of labeled vertices located exactly on the 2nd-ranked segment? | 3 | |
STEM-155 | Assuming the figure is a perfectly scaled Euclidean drawing, what is the computed length of the unlabeled side to the nearest tenth? | 8.2 | |
STEM-156 | At vertex C, two continuous circular arcs are explicitly drawn. If we order the four line segments radiating from C counterclockwise starting from CD as the 1st segment, which two segments are the exact endpoints of the arc with the larger radius? | 1st and 3rd | |
STEM-158 | Of the six single-letter vertex labels, which one is the sole exception to the convention of being placed strictly in the unbounded exterior face of the figure? | Vertex B | |
STEM-159 | Ordering the four labeled vertices strictly by their horizontal position in the image plane from left to right, which vertex label occupies the 2nd position? | Vertex A | |
STEM-161 | Based strictly on the pixel coordinates of the drawn line segments, what is the ratio of the horizontal width ($\Delta x$) of the 2nd-longest segment to the horizontal width of the shortest segment? (Round to 1 decimal place). | 1.8 | |
STEM-162 | Of the three adjacent angles with vertex C formed by the segments CA, CD, CE, and CB, which has the second-largest angular measure? | Angle DCE | |
STEM-163 | Imagine rigidly translating the segment DC such that vertex D is placed exactly onto vertex A. On which specific geometric feature of the polygon does the translated vertex C lie? | On segment AB | |
STEM-164 | Consider the three explicitly named geometric line segments that share vertex A as an endpoint. Ordering these three segments strictly by their visual length from longest to shortest, what is the exact two-letter label of the 2nd segment in this sequence? | AE | |
STEM-166 | Determine the exact sequence of three labeled points that defines the line segment passing through the upper intersection of the two smallest circles. State the points in order from top to bottom. | F, I, D | |
STEM-167 | The line segments BE and EF partition the interior of the main quadrilateral ABCD into two distinct bounded regions. What is the specific polygon type (by number of sides) of the region that does NOT contain vertex A? | Pentagon | |
STEM-168 | Assuming a standard Cartesian coordinate system (where the y-axis points upward), how many explicitly labeled line segments connect directly to the vertex that has the 2nd-lowest y-coordinate? | 2 | |
STEM-170 | If a strictly horizontal ray is projected to the right starting from vertex B, which line segment of the polygon will it intersect? | Segment CD | |
STEM-173 | Of the four line segments forming the perimeter of the quadrilateral ABCD, which has the 2nd largest absolute slope (i.e., is the 2nd steepest with respect to the horizontal)? | Segment AB | |
STEM-174 | Name the exact pair of labeled line segments that physically cross each other at a location where no point is explicitly marked. | AB and EF | |
STEM-178 | Assuming the outer boundary forms a perfect parallelogram, group the 5 explicitly drawn line segments by their theoretical lengths. What is the exact number of segments that belong to the group with the 2nd-longest distinct length? | 2 | |
STEM-180 | In standard Euclidean geometry diagrams, there is a convention that all explicit vertices and intersection points of drawn segments are assigned a unique alphabetical label. Which specific location in this image is the sole exception to this convention? | The right-angle vertex on AG | |
STEM-181 | Based strictly on the explicit geometric annotations, which specific vertex is marked with the 2nd-highest number of concentric angle arcs? | Vertex C | |
STEM-182 | Three labeled points lie exactly on the circle's circumference. If you trace the circumference strictly clockwise starting from point G, what is the exact sequence of the next two labeled points encountered? | H, F | |
STEM-183 | Imagine the complete graph K5 connecting all 5 labeled vertices. Count how many of the currently absent segments are incident to each labeled vertex. Identify the vertices that tie for the 2nd-highest count of absent segments. What is the exact number of explicitly drawn segments incident to one of these vertices in th... | 3 | |
STEM-184 | Consider two distinct mathematical interpretations of the image: (1) as a directed vector from $A$ to $B$, and (2) as the graph of a linear function $y = f(x)$ plotted on standard Cartesian axes. While the directed vector $\vec{AB}$ has a strictly positive vertical component (pointing "upward"), what is the precise mat... | Strictly decreasing | |
STEM-189 | What is the exact x-coordinate of the 2nd-rightmost intersection between a plotted solid line and the horizontal axis y=0? | 0.5 | |
STEM-190 | At the horizontal grid line located exactly midway between the x-axis and the bottom boundary of the plot, what is the exact horizontal distance between the 2nd-leftmost and 3rd-leftmost solid colored lines? | 2.0 | |
STEM-191 | The text annotation "(2, 3)" is printed in the upper-right quadrant. What is the exact slope of the plotted line that passes visually closest to the center of this text? | 1 | |
STEM-193 | Which two geometric quadrants (I, II, III, or IV) contain exactly one numeric tick-mark label each? | Quadrants II and IV | |
STEM-194 | Identify the five explicitly labeled numeric values on the y-axis. Rank these values algebraically from highest to lowest. If an infinite horizontal line is drawn strictly through the 2nd-ranked y-value, exactly how many distinct times will it intersect the plotted curve? | 3 | |
STEM-195 | Consider the two vertical dashed lines. By exactly how many y-axis units does the 2nd dashed line (reading left-to-right) extend ABOVE the solid curve? | 0 (or zero) | |
STEM-197 | What is the exact x-coordinate of the 2nd solid black dot drawn on the curve, when counting strictly from left to right? | 0 | |
STEM-200 | What is the exact x-coordinate of the 2nd-leftmost explicitly drawn black dot on the plotted curve? | 0 | |
STEM-201 | Rolle's Theorem guarantees a point with zero slope strictly between the 2nd and 3rd explicitly plotted roots. What is the exact derived y-coordinate of this point, and what specific visual marker is notably absent there? | -2, a black dot | |
STEM-202 | Scanning the plotted curve from left to right, what is the exact x-coordinate of the 2nd explicitly drawn black circular marker? | 0 | |
STEM-204 | What is the exact x-distance between the 2nd explicitly labeled zero-crossing and the zero-crossing immediately to its left? | pi/2 | |
STEM-205 | According to the Mean Value Theorem, there is a point on the solid curve strictly between C and B where its tangent is parallel to the secant line CB. Based on the actual drawn shape of the curve, does the x-coordinate of this tangent point lie exactly at, to the left of, or to the right of the geometric midpoint of se... | To the right | |
STEM-206 | The solid coordinate axes divide the outer bounding box into four rectangular quadrants. Which text label is positioned entirely within the specific quadrant that has the 2nd-largest area? | P | |
STEM-207 | The image shows a secant line intersecting a strictly convex parabola at C and B. Based on the mathematical properties of this relationship, which of the two paths exiting the top bounding edge MUST theoretically be further to the left, and which path ACTUALLY exits further to the left in the drawing? | Parabola must, line actually does | |
STEM-208 | Trace the y-axis downwards starting from the origin (O). Excluding the x-axis, what is the 2nd drawn continuous geometric feature (line, segment, or curve) that the y-axis intersects? | The parabola | |
STEM-209 | Among the four explicitly drawn continuous lines, segments, and curves that intersect the y-axis (line $l$, segment $PC$, the parabola, and segment $AC$), which geometric element has the 2nd-lowest y-intercept? | The parabola | |
STEM-211 | Ranked by their x-coordinates from least to greatest, what geometric feature forms the exact 2nd intersection point along the negative x-axis? | The vertical dashed line | |
STEM-212 | What is the exact y-coordinate of the intersection of the secant line AD and the y-axis? | 0.05 | |
STEM-216 | What is the exact y-coordinate of the point on curve B that is vertically aligned with the midpoint between the 2nd and 3rd labeled positive x-axis tick marks? | -1.6 | |
STEM-218 | What is the exact y-coordinate of curve A evaluated at the 2nd-lowest labeled tick value on the x-axis? | 4/3 | |
STEM-219 | The underlying function exhibits odd function symmetry algebraically, yet the plot's bounding limits violate this. By exactly what amount does the length of the plotted range of curve B exceed the length of the plotted range of curve A? | 0.2 | |
STEM-220 | Let Point P's x-coordinate take the sign of the labeled point with the 2nd-smallest absolute orthogonal distance to the y-axis. Let P's y-coordinate take the sign of the labeled point with the 2nd-smallest absolute orthogonal distance to the x-axis. In which numbered quadrant (I, II, III, or IV) does P lie? | Quadrant IV | |
STEM-221 | Identify the four distinct visual points where the straight blue secant line intersects either the coordinate axes or the hyperbola. Of these four specific points, which one has the second-highest y-coordinate? | Point C | |
STEM-222 | Rank the three colored axes based on their top-to-bottom order in the legend. Excluding typographic characters and the arrowheads at the positive extremities of the 1st and 3rd axes, how many geometric arrowheads remain visible in the entire image? | 2 | |
STEM-225 | Based strictly on the 2D projected pixel area of the three translucent coordinate planes shown, what is the color of the plane that ranks exactly 2nd in size? | Red | |
STEM-226 | Rank the three shaded orthogonal planes from largest to smallest based strictly on their 2D rendered pixel area in the image. What is the exact prominent color tint of the 2nd-largest plane? | Blue | |
STEM-227 | Considering only the endpoints and intersection vertices of the four straight line segments (ignoring text), which specific point has the 2nd-highest vertical position on the page (i.e., 2nd-closest to the top edge)? | The central carbon vertex | |
STEM-228 | How many sp3-hybridized carbon atoms in this exact skeletal structure are completely isolated, meaning they share zero bonds with any sp2-hybridized carbon atom? | 1 | |
STEM-231 | Multiply the exact number of explicitly printed "OH" labels on the far-left ring by the number of explicitly printed "OH" labels on the 3rd ring from the left. From this product, subtract the total number of explicitly printed "CO" groups in the entire image. What is the exact final integer? | 3 | |
STEM-232 | Assign a numerical value to each of the three red 'O' characters in the image equal to the exact number of distinct black line segments that directly touch or terminate at that specific letter. What is the sum of these three values? | 5 | |
STEM-233 | Locate the five explicitly drawn single-line bonds strictly outside the aromatic ring. Rank them sequentially from left to right by their leftmost endpoint. What specific element symbol is explicitly printed at the rightmost endpoint of the 3rd bond in this ranking? | O (or Oxygen) | |
STEM-234 | In the provided drawing, all interatomic bond lines are entirely solid black, with exactly one exception. Which two specific atoms are connected by the anomalous single bond that is drawn with a bi-color (partially red and partially black) line segment? | Ester oxygen and propyl chain C1. | |
STEM-235 | When ordering the three distinct element symbols present in the image strictly by their leftmost horizontal starting position (reading from left to right across the entire image space), what is the symbol of the 2nd element? | Ca (or Calcium) | |
STEM-236 | Based on the color scale, what is the accessibility score of the white interior polygon entirely enclosed within the country containing the 2nd-most northern labeled city? | Null / No data / Missing | |
STEM-238 | Identify all numbered atoms (0 through 5) that are directly connected to exactly ONE explicitly drawn black line segment. What is the sum of their numeric labels? | 5 | |
STEM-243 | Trace the continuous conductive path from the $V_{in}$ terminal to the $V_{out}$ terminal. This path consists of 5 sequential elements: a vertical wire, a passive component, a horizontal wire, another passive component, and a final vertical wire. If a constant 10V DC source is applied across the $V_{in}$ and $V_{out}$ ... | 10V | |
STEM-244 | First, identify the capacitor whose wires connect to the extreme right edges of its parallel plates rather than the center, and note its numeric index. Second, count the total number of wire endpoints that terminate abruptly in empty space *strictly inside* the dashed boundary. What is the exact sum of these two number... | 3 | |
STEM-245 | Rank the five translucent colored markers by their vertical placement from North (highest) to South (lowest). What is the exact ordinal position (e.g., 1st, 2nd, 3rd) of the ONLY marker whose colored circular area is contained entirely within a single country, intersecting ZERO faint gray international borders? | 2nd | |
STEM-246 | Starting from the leftmost Fe atom and tracing the continuous chain of bonds to the other end, what is the exact element and position of the 3rd Fe atom encountered? | Fe (bottom center) | |
STEM-247 | Order the five explicitly labeled passive components (capacitors and resistors) by their physical right-to-left position. Identify the 2nd component in this sequence. What specific drawn structure provides a direct, un-resisted short-circuit path strictly in parallel with this component? | The top diagonal wire. | |
STEM-249 | Examine the 2nd phosphate ion from the top in the vertical column. What is the exact number of individual line segments drawn to represent the bonds between its central phosphorus and the surrounding oxygen atoms? | 5 | |
STEM-257 | Consider the exact visual placement of the three numerical labels. If you rank them by their straight-line distance from the top-right corner of the outer black rectangle (from closest to farthest), what is the exact value of the 2nd-closest label? | 3 cm | |
STEM-258 | Consider the 2D bounding box that exactly encloses the entire drawn figure. Of the five explicitly drawn black dots, which one is the second-closest to the exact geometric center of this 2D bounding box? | S | |
STEM-263 | Assuming the smallest axis intercepts have a magnitude of 1, what is the exact slope of the shortest spiral segment located in Quadrant I? | -2 | |
STEM-269 | Based on the visual length ratio of the minor axis to the major axis of the blue ellipse, what is its exact mathematical eccentricity? (Provide the exact expression). | \sqrt{3}/2 | |
STEM-271 | Imagine a perfectly vertical line drawn exactly down the horizontal center of the overall image. Ignoring all text elements, what is the color of the 2nd-highest visible graphical element (path or shape edge) intersected by this line? | Green | |
STEM-272 | Rank the four explicitly labeled points (I, P, F, C) strictly by their horizontal coordinate from right to left. Which point is in the exactly 2nd position? | Point F | |
STEM-274 | Calculate the exact total number of 2D intersection points where any colored seasonal arc geometrically touches or crosses a solid black coordinate line. | 4 | |
STEM-275 | Let X be the total number of distinct black dashes located perfectly on the major axis of the ellipse. Let Y be the total number of letters comprising the text labels of the two orbital positions located on the minor axis. What is the exact value of X multiplied by Y? | 100 | |
STEM-276 | Consider the four exact points where the blue curve crosses the coordinate axes. If you rank these four points by their straight-line distance to the origin from shortest to longest, which axis contains the points that occupy the 2nd and 3rd rank positions? | The y-axis | |
STEM-277 | What specific letter of the red text is located exactly at the tip of the black arrowhead? | m | |
STEM-278 | Using the vertical dashed axis as a coordinate system where each black dash and each white gap equals exactly 1 unit of length, and the spoon's top vertex is at y=0, what is the exact vertical distance (in units) between the top horizontal edge of the glass and the point of maximum horizontal width of the spoon curve? | 2 | |
STEM-279 | In topology, a homeomorphism between two closed disks strictly requires that boundary points map to boundary points. Assume the "Before" shape is mapped to the "After" shape via such a homeomorphism, mapping the dashed lines to their corresponding new positions. What specific visual detail of lines B and D proves this ... | Gaps at their endpoints | |
STEM-281 | The text explicitly lists the position coordinates as an ordered pair $(x, y)$. Examine the drawn axis corresponding to the 2nd coordinate in that pair. What standard geometric directional marker is completely MISSING from the upper extremum of this axis? | Arrowhead | |
STEM-282 | Consider the exact 2D horizontal positions of the four arrow tips drawn in the diagram. When ordered strictly from left to right on the page, which drawn element possesses the arrow tip that ranks 3rd? | Normal vector | |
STEM-284 | There are exactly three arrowheads drawn in the geometric figure. What is the exact stroke color of the 2nd-highest arrowhead? | Green | |
STEM-289 | What is the exact count of straight line segments that meet at the 2nd-most connected labeled vertex in the overall geometric figure? | 3 | |
STEM-292 | Rank the 10 labeled vertices by their degree (the number of explicitly drawn incident straight line segments) from highest to lowest. Consider the group of vertices tied for the 2nd-highest degree. Which specific vertex in this 2nd-ranked group violates the standard geometric convention for orthogonality ($90^\circ$) b... | Vertex H | |
STEM-293 | Based purely on the visual vertical placement of the actual vertex points (not the text labels), what is the single-letter name of the 4th-highest vertex in the entire figure? | E | |
STEM-294 | What is the exact explicit numeric label on the horizontal line segment that occupies the 2nd-lowest distinct vertical level in the diagram? | 7.0 | |
STEM-296 | Identify the exact numerical value of the angle whose drawn arc features a single bisecting congruency tick mark. | 45° | |
STEM-297 | Assuming the marked angles and the labeled length of leg FD are correct, which labeled side in triangle ADF violates the Pythagorean theorem, and what must its exact length be? | Side AD; 18√2 |
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