Datasets:

ANke121
/

NASPO_eval

messages listlengths 2 2	images listlengths 1 1	id stringlengths 6 9
[ { "content": "<image>A research institution conducted a statistical analysis of two linearly related variables $$x$$ and $$y$$, and obtained the following data: From the data in the table, the linear regression equation of $$y$$ with respect to $$x$$ is $$\\hat y=-0.7\\hat x+a$$. Then, $$a$$ equals ( ).\nA. $$...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_0_0.png" ]	data_1
[ { "content": "<image>Among the following geometric solids, the one that has two identical views and another different one is ( ) \nA. 1.2.\nB. 2.3.\nC. 2.4.\nD. 3.4.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_1_0.png" ]	data_2
[ { "content": "<image>It is known that the advertising expenditure $$x$$ (unit: ten thousand yuan) and sales revenue $$y$$ (unit: ten thousand yuan) of a certain product have the following corresponding data: According to all the data provided in the table, the linear regression equation of $$y$$ and $$x$$ obta...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_2_0.png" ]	data_3
[ { "content": "<image>Students have played with kaleidoscopes, which are made up of three equal-length glass pieces. As shown in the figure, it is a pattern seen in a kaleidoscope. All the small triangles in the figure are congruent equilateral triangles. The rhombus $AEFG$ can be considered as the result of rot...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_3_0.png" ]	data_4
[ { "content": "<image>If \\sqrt{a^{3}+3 a^{2}} = -a , then the range of values for a is ()\nA. -3≤a≤0\nB. ≤0\nC. ＜0\nD. ≥-3\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}.", "role": "u...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_4_0.png" ]	data_5
[ { "content": "<image>To understand the height situation of 300 male students in a middle school, a random sample of male students was selected for height measurement. After organizing the data, a frequency distribution histogram was drawn (as shown in the figure). Estimate the number of male students in the sch...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_5_0.png" ]	data_6
[ { "content": "<image>As shown in the figure, $\\text{AB} \\bot \\text{b}$, $\\text{DC} \\bot \\text{b}$, $\\text{CA} \\bot \\text{a}$, $\\text{ED} \\bot \\text{b}$, then the number of line segments whose lengths can represent the distance from a point to a line is () \nA. 4\nB. 6\nC. 7\nD. 8\n\nYou first think...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_6_0.png" ]	data_7
[ { "content": "<image>A store is preparing to order a type of packaging bag for rice. After market research, the following statistical chart was made. Which packaging is the most suitable? ( ). \nA. $$2{\\rm Kg}/$$ per bag\nB. $$3{\\rm Kg}/$$ per bag\nC. $$4{\\rm Kg}/$$ per bag\nD. $$5{\\rm Kg}/$$ per bag\n\nYou...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_7_0.png" ]	data_8
[ { "content": "<image>The graphs of the functions $y=a^x$ ($a > 0$, $a \\ne 1$) and $y=x^b$ are shown in the figure. Which of the following inequalities must be true? \nA. $b^a > 0$\nB. $a+b > 0$\nC. $ab > 1$\nD. $\\log_a 2 > b$\n\nYou first think through the reasoning process as an internal monologue, enclosed...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_8_0.png" ]	data_9
[ { "content": "<image>As shown in the figure, the area of the small square ABCD is 1. By extending each side by one time its length, a new square A$_{1}$B$_{1}$C$_{1}$D$_{1}$ is formed; by extending the sides of square A$_{1}$B$_{1}$C$_{1}$D$_{1}$ by one time their length, square A$_{2}$B$_{2}$C$_{2}$D$_{2}$ is ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_9_0.png" ]	data_10
[ { "content": "<image>As shown in the figure, AB∥CD. According to the angles marked in the figure, which of the following relationships is true? \nA. ∠1=∠3\nB. ∠2+∠3=180°\nC. ∠2+∠4<180°\nD. ∠3+∠5=180°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_10_0.png" ]	data_11
[ { "content": "<image>The output of the program shown in the figure is ( ) \nA. $2$, $1$\nB. $2$, $2$\nC. $1$, $2$\nD. $1$, $1$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}.", "role"...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_11_0.png" ]	data_12
[ { "content": "<image>In the figure, in parallelogram ABCD, the angle bisector of ∠ABC intersects side CD at point E, and ∠A = 130°. Then the measure of ∠BEC is ( ) \nA. 20°\nB. 25°\nC. 30°\nD. 50°\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_12_0.png" ]	data_13
[ { "content": "<image>In the figure, the number of consecutive interior angles is ( ). \nA. $$1$$ pair\nB. $$2$$ pairs\nC. $$3$$ pairs\nD. $$4$$ pairs\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_13_0.png" ]	data_14
[ { "content": "<image>Given that the real numbers $$a$$ and $$b$$ correspond to points on the number line as shown in the figure, which of the following expressions is correct? \nA. $$a \\cdot b > 0$$\nB. $$a - b > 0$$\nC. $$a < -b$$\nD. $$\|a\| < \|b\|$$\n\nYou first think through the reasoning process as an inter...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_14_0.png" ]	data_15
[ { "content": "<image>As shown in the figure, the line y=kx+b passes through points A(3,1) and B(6,0). The solution set of the inequality system 0 < kx + b < 13x is () \nA. 3 < x < 6\nB. x > 3\nC. x < 6\nD. x > 3 or x < 6\n\nYou first think through the reasoning process as an internal monologue, enclosed within...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_15_0.png" ]	data_16
[ { "content": "<image>In a survey about the relationship between gender and lying, the following data was obtained. Based on the data in the table, which of the following conclusions is correct? ( ) \nA. In this survey, there is a 95% confidence that lying is related to gender\nB. In this survey, there is a 99% ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_16_0.png" ]	data_17
[ { "content": "<image>The figure below shows a $6\\times 6$ grid. In $\\Delta ABC$, $\\Delta {A}'{B}'{C}'$, and $\\Delta {{A}'}'{{B}'}'{{C}'}'$, the number of right-angled triangles is ( ) \nA. $0$\nB. $1$\nC. $2$\nD. $3$\n\nYou first think through the reasoning process as an internal monologue, enclosed within...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_17_0.png" ]	data_18
[ { "content": "<image>In the following program, when the input value of $$x$$ is $$\\pi$$, the computation result is ( ). \nA. $$-2$$\nB. $$1$$\nC. $$\\pi$$\nD. $$2$$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_18_0.png" ]	data_19
[ { "content": "<image>The tide of a thousand years has not receded, and the wind rises to set sail again. To achieve the 'two centenary goals' and the great rejuvenation of the Chinese nation's Chinese Dream, Harbin No.3 High School actively responds to the national call, continuously increasing the cultivation ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_19_0.png" ]	data_20
[ { "content": "<image>If the program flowchart shown in the figure is executed, then the value of the output $S$ is ( ) \nA. -8\nB. -23\nC. -44\nD. -71\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_20_0.png" ]	data_21
[ { "content": "<image>If the distribution of the random variable $$\\eta$$ is as follows: then when $$P\\left (\\eta< x \\right ) =0.8$$, the range of the real number $$x$$ is （）\nA. $$x\\leqslant 1$$\nB. $$1\\leqslant x\\leqslant 2$$\nC. $$1< x \\leqslant 2$$\nD. $$1\\leqslant x< 2$$\n\nYou first think throug...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_21_0.png" ]	data_22
[ { "content": "<image>The solution sets of two inequalities in a system of inequalities are shown in the figure. The solution set of this system of inequalities is ( ) \nA. $-2 \\le x < 1$\nB. $x \\le 2$\nC. $-2 < x \\le 1$\nD. $x \\ge 1$\n\nYou first think through the reasoning process as an internal monologue,...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_22_0.png" ]	data_23
[ { "content": "<image>As shown in the figure below, in the Cartesian coordinate system $xOy$, the terminal side of angle $\\alpha$ intersects the unit circle at point $A$. If the y-coordinate of point $A$ is $\\frac{4}{5}$, then the value of $\\sin \\alpha$ is \nA. $\\frac{3}{5}$\nB. $\\frac{4}{5}$\nC. $-\\frac...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_23_0.png" ]	data_24
[ { "content": "<image>As shown in Figure 1, it is a right-angled triangular paper piece, $$\\angle A=30{}^\\circ $$, $$BC=4\\text{cm}$$, and it is folded so that point $$C$$ lands on point $${{C}^{\\prime }}$$ on the hypotenuse, with the fold line being $$BD$$, as shown in Figure 2. Then, Figure 2 is folded alon...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_24_0.png" ]	data_25
[ { "content": "<image>As shown in the figure, use an unmarked straightedge to construct a parallelogram with a pair of opposite sides of length $$\\sqrt{5}$$ in a square grid. In a $$1\\times 3$$ square grid, at most $$2$$ can be constructed; in a $$1 \\times 4$$ square grid, at most $$6$$ can be constructed; in...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_25_0.png" ]	data_26
[ { "content": "<image>Execute the program flowchart as shown in the figure. If the output result is 36, then what should be filled in the judgment box? \nA. $i < 7?$\nB. $i < 8?$\nC. $i < 9?$\nD. $i < 10?$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_26_0.png" ]	data_27
[ { "content": "<image>As shown in the figure, the parabola y=ax$^{2}$+bx+c intersects the x-axis at point A (-1, 0), with the vertex at (1, n), and intersects the y-axis between (0, 2) and (0, 3) (inclusive). Which of the following conclusions are correct: 1. When x > 3, y < 0; 2. 3a + b > 0; 3. $-1 \\le a \\le ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_27_0.png" ]	data_28
[ { "content": "<image>As shown in the figure, AB is the diameter of circle O, CD is a chord, and AB is perpendicular to CD at point E. Which of the following conclusions is incorrect? \nA. $CE=DE$\nB. $AE=OE$\nC. $\\overset\\frown{BC}=\\overset\\frown{BD}$\nD. $\\angle COB=\\angle DOB$\n\nYou first think through...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_28_0.png" ]	data_29
[ { "content": "<image>In the figure, AB is the diameter of circle O, CD is a chord, AB ⊥ CD, and the foot of the perpendicular is E. Point P is on circle O, and BP, PD, and BC are connected. If CD = $\\frac{24}{5}$, sin P = $\\frac{3}{5}$, then the diameter of circle O is ( ) \nA. 8\nB. 6 C.5\nC. $\\frac{16}{5}...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_29_0.png" ]	data_30
[ { "content": "<image>For the quadratic function $$y=ax^2+bx+c$$ (where $$a$$, $$b$$, and $$c$$ are constants, and $$a\\not=0$$), the partial correspondence between the independent variable $$x$$ and the function value $$y$$ is shown in the table below. It is also given that when $$x=-{1\\over2}$$, the correspon...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_30_0.png" ]	data_31
[ { "content": "<image>As shown in the figure, after rotating △AOB counterclockwise around point O by $45{}^\\circ$, we get △COD. If $\\angle AOB=15{}^\\circ$, then the degree measure of $\\angle AOD$ is （） \nA. $75{}^\\circ$\nB. $60{}^\\circ$\nC. $45{}^\\circ$\nD. $30{}^\\circ$\n\nYou first think through the re...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_31_0.png" ]	data_32
[ { "content": "<image>In the figure, in $\\vartriangle ABC$, $\\angle B=90{}^\\circ $, $BC=2AB$, then $sinC=$ ( ) \nA. $\\frac{\\sqrt{5}}{2}$\nB. $\\frac{1}{2}$\nC. $\\frac{2\\sqrt{5}}{2}$\nD. $\\frac{\\sqrt{5}}{5}$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <thin...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_32_0.png" ]	data_33
[ { "content": "<image>As shown in the figure, in the right triangle $$ABC$$, $$AB=9$$, $$BC=6$$, $$\\angle B=90{{}^\\circ}$$, the triangle $$ABC$$ is folded so that point $$A$$ coincides with the midpoint $$D$$ of $$BC$$. The fold line is $$MN$$. What is the length of the segment $$BN$$? \nA. $$\\frac{5}{3}$$\n...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_33_0.png" ]	data_34
[ { "content": "<image>As shown in the figure, in quadrilateral ABCD, E, F, G, and H are the midpoints of AB, BD, CD, and AC, respectively. For quadrilateral EFGH to be a rhombus, quadrilateral ABCD only needs to satisfy one condition ( ) \nA. AD = BC\nB. AC = BD\nC. AB = CD\nD. AD = CD\n\nYou first think through...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_34_0.png" ]	data_35
[ { "content": "<image>A die is a small cube with the numbers 1, 2, 3, 4, 5, 6 written on its six faces, such that the sum of the numbers on any two opposite faces is 7. Several such identical dice are arranged to form a geometric solid where the product of the numbers on the touching faces is 6. The three views ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_35_0.png" ]	data_36
[ { "content": "<image>In △ABC, point D is a point on side BC. AD is connected, and P is the midpoint of AD. BP and CP are connected. If the area of △ABC is 4cm², then the area of △BPC is ( ) \nA. 4cm²\nB. 3cm²\nC. 2cm²\nD. 1cm²\n\nYou first think through the reasoning process as an internal monologue, enclosed ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_36_0.png" ]	data_37
[ { "content": "<image>As shown in Figure 1, there is a quadrilateral paper piece $ABCD$, where $\\angle B=120^{\\circ}$ and $\\angle D=50^{\\circ}$. If the lower right corner is folded inward to form $\\triangle PCR$ as shown in Figure 2, such that $CP$∥$AB$ and $RC$∥$AD$, then the measure of $\\angle C$ is ( )....	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_37_0.png" ]	data_38
[ { "content": "<image>As shown in the figure, given AD//BC, which of the following conclusions is correct? \nA. $\\angle 1 = \\angle 2$\nB. $\\angle 2 = \\angle 3$\nC. $\\angle 1 = \\angle 4$\nD. $\\angle 3 = \\angle 4$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_38_0.png" ]	data_39
[ { "content": "<image>The three views of a geometric solid are shown in the figure. According to the data in the figure, the volume of the solid is ( ) \nA. $$\\dfrac{4}{3}\\pi $$\nB. $$\\dfrac{\\sqrt{15}}{3}\\pi $$\nC. $$\\dfrac{4}{3}\\pi -\\dfrac{\\sqrt{15}}{3}\\pi $$\nD. $$\\dfrac{4}{3}\\pi +\\dfrac{\\sqrt{1...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_39_0.png" ]	data_40
[ { "content": "<image>As shown in the figure, in $$\\triangle ABC$$, point $$D$$ is on $$AB$$, $$BD=2AD$$, $$DE\\parallel BC$$ intersects $$AC$$ at $$E$$. Which of the following conclusions is incorrect? \nA. $$BC=3DE$$\nB. $$\\dfrac{BD}{BA}=\\dfrac{CE}{CA}$$\nC. $$\\triangle ADE\\sim \\triangle ABC$$\nD. $$S_{...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_40_0.png" ]	data_41
[ { "content": "<image>The profit statistics of Supermarket A and Supermarket B from January to August are shown in the chart below. Which of the following conclusions is incorrect? \nA. The profit of Supermarket A decreases month by month\nB. The profit of Supermarket B increases month by month from January to ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_41_0.png" ]	data_42
[ { "content": "<image>Xiao Cong and Xiao Ming start from two places, Jia and Yi, which are 30 kilometers apart, and travel towards each other at the same time. Xiao Cong rides a motorcycle to Yi and immediately returns to Jia, while Xiao Ming rides a bicycle directly from Yi to Jia. The function graphs $y_{1}\\l...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_42_0.png" ]	data_43
[ { "content": "<image>As shown in the figure, if the rational numbers corresponding to points A and B on the number line are a and b, respectively, then which of the following expressions is correct? \nA. ab > 0\nB. \|a\| < \|b\|\nC. a - b < 0\nD. a + b > 0\n\nYou first think through the reasoning process as an inte...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_43_0.png" ]	data_44
[ { "content": "<image>In the parallelogram $ABCD$, the diagonals $AC$ and $BD$ intersect at point $O$. If $AC=4$, $BD=5$, and $BC=3$, then the perimeter of $\\Delta BOC$ is ( ) \nA. $6$\nB. $7.5$\nC. $8$\nD. $12$\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_44_0.png" ]	data_45
[ { "content": "<image>As shown in the figure, the vertex of the ${60}^{\\circ}$ angle of a right-angled triangular ruler is placed on the center $O$ of a circle. The hypotenuse and one of the legs intersect the circle $\\odot O$ at points $A$ and $B$, respectively. $P$ is any point on the major arc $AB$ (not coi...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_45_0.png" ]	data_46
[ { "content": "<image>As shown in the figure, $CD$ is a plane mirror. A light ray starts from point $A$, reflects at point $E$ on $CD$, and then reaches point $B$. If the angle of incidence is $\\alpha$, $AC\\bot CD$, $BD\\bot CD$, and the feet of the perpendiculars are $C$ and $D$ respectively, with $AC=3$, $BD...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_46_0.png" ]	data_47
[ { "content": "<image>As shown in the figure, in $\\vartriangle ABC$, the angle bisectors of $\\angle ABC$ and $\\angle ACB$ intersect at point $F$. A line $DE \\parallel BC$ is drawn through point $F$, intersecting $AB$ at point $D$ and $AC$ at point $E$. If $BD=3$ and $DE=5$, then the length of segment $EC$ is...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_47_0.png" ]	data_48
[ { "content": "<image>As shown in the figure, points $$C$$ and $$D$$ are on the line segment $$AB$$, and point $$D$$ is the midpoint of line segment $$AC$$. If $$AB=10\\,\\rm cm$$ and $$BC=4\\,\\rm cm$$, then the length of line segment $$DB$$ is ( ) \nA. $$2\\,\\rm cm$$\nB. $$3\\,\\rm cm$$\nC. $$6\\,\\rm cm$$\n...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_48_0.png" ]	data_49
[ { "content": "<image>As shown in the figure, in the sector $$OAB$$, the radius $$OA=2$$, $$∠AOB=120^{\\circ}$$, and $$C$$ is the midpoint of the arc $$\\overset{\\frown} {AB}$$. Connecting $$AC$$ and $$BC$$, the area of the shaded part in the figure is ( ) \nA. $$\\dfrac{4\\pi }{3}-2\\sqrt{3}$$\nB. $$\\dfrac{...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_49_0.png" ]	data_50
[ { "content": "<image>The flowchart of a program is shown in the figure below. The function of the program is ( ) \nA. To calculate $1+2+2^2+2^3+\\ldots+2^{63}$\nB. To calculate $1+2+2^2+2^3+\\ldots+2^{63}+2^{64}$\nC. To calculate $2+2^2+2^3+\\ldots+2^{63}$\nD. To calculate $2+2^2+2^3+\\ldots+2^{63}+2^{64}$\n\n...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_50_0.png" ]	data_51
[ { "content": "<image>As shown in the figure, $\\Delta AEC \\cong \\Delta BED$, point $D$ is on the side $AC$, $\\angle 1 = \\angle 2$, and $AE$ intersects $BD$ at point $O$. Consider the following statements: (1) If $\\angle B = \\angle A$, then $BE \\parallel AC$; (2) If $BE = AC$, then $BE \\parallel AC$; (3)...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_51_0.png" ]	data_52
[ { "content": "<image>In the figure, in $$\\triangle PAB$$, $$PA=PB$$, and $$M$$, $$N$$, $$K$$ are points on $$PA$$, $$PB$$, and $$AB$$ respectively, such that $$AM=BK$$ and $$BN=AK$$. If $$\\angle MKN=44^{\\circ}$$, then the measure of $$\\angle P$$ is ( ). \nA. $$44^{\\circ}$$\nB. $$66^{\\circ}$$\nC. $$88^{\\...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_52_0.png" ]	data_53
[ { "content": "<image>A company produces a product that is classified into four grades from highest to lowest: $$A$$, $$B$$, $$C$$, and $$D$$. To increase production and improve quality, the company improved its production process, doubling the total production. To understand the effect of the new production pro...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_53_0.png" ]	data_54
[ { "content": "<image>In the right triangle $ABC$, $\\angle C=90^{\\circ}$, $AB=10$, $AC=8$. Points $E$ and $F$ are the midpoints of $AC$ and $AB$, respectively. Then $EF=\\left( \\right)$ \nA. $3$\nB. $4$\nC. $5$\nD. $6$\n\nYou first think through the reasoning process as an internal monologue, enclosed within...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_54_0.png" ]	data_55
[ { "content": "<image>As shown in the figure, $D$ is a point on side $AC$ of equilateral triangle $ABC$, and $E$ is a point outside equilateral triangle $ABC$. If $BD=CE$ and $\\angle 1=\\angle 2$, then the shape of $\\triangle ADE$ is ( ) \nA. Isosceles triangle\nB. Equilateral triangle\nC. Right triangle\nD. ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_55_0.png" ]	data_56
[ { "content": "<image>As shown in the figure, points A, D, C, and F lie on the same straight line, AB = DE, and BC = EF. To prove that △ABC ≌ △DEF, an additional condition is needed ( ). \nA. BC ∥ EF\nB. ∠B = ∠F\nC. AD = CF\nD. ∠A = ∠EDF\n\nYou first think through the reasoning process as an internal monologue,...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_56_0.png" ]	data_57
[ { "content": "<image>The radishes below represent the $$\\dfrac{1}{2}$$, $$\\dfrac{1}{3}$$, and $$\\dfrac{1}{4}$$ of the radishes pulled by the white rabbit, the gray rabbit, and the black rabbit, respectively. ( ) pulled the most radishes. \nA. White Rabbit\nB. Gray Rabbit\nC. Black Rabbit\n\nYou first think ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_57_0.png" ]	data_58
[ { "content": "<image>As shown in the figure, $$\\angle BAC = 100\\degree$$, point $$D$$ is on the perpendicular bisector of $$AB$$, and point $$E$$ is on the perpendicular bisector of $$AC$$. Then the measure of $$\\angle DAE$$ is ( ). \nA. $$15\\degree$$\nB. $$20\\degree$$\nC. $$25\\degree$$\nD. $$30\\degree$...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_58_0.png" ]	data_59
[ { "content": "<image>As shown in the figure, in the cube $ABCD-{{A}_{1}}{{B}_{1}}{{C}_{1}}{{D}_{1}}$, the moving point $P$ is within the side face ${{B}_{1}}BC{{C}_{1}}$, and the distance from point $P$ to edge $AB$ is equal to the distance from $P$ to edge $C{{C}_{1}}$. The figure formed by the movement of poi...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_59_0.png" ]	data_60
[ { "content": "<image>As shown in the figure, for the ellipse $\\frac{x^2}{a^2} + \\frac{y^2}{b^2} = 1$ (where $a > b > 0$), the left and right foci are $F_1$ and $F_2$, respectively, and $\|F_1F_2\| = \\sqrt{10}$. Point $P$ is on the positive half of the y-axis, and $PF_1$ intersects the ellipse at point $A$. If ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_60_0.png" ]	data_61
[ { "content": "<image>If the function $$f(x) = A\\sin (\\omega x + \\varphi)$$ (where $$A > 0$$, $$\\omega > 0$$, and $$\|\\varphi\| \\leqslant \\pi$$) has the local graph shown in the figure, then the expression for the function $$y = f(x)$$ is ( ). \nA. $$y = \\frac{3}{2} \\sin (2x + \\frac{\\pi}{6})$$\nB. $$y ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_61_0.png" ]	data_62
[ { "content": "<image>As shown in the figure, $\\triangle ABC$ is an equilateral triangle paper with side length $a$. Now, a triangle is cut from each corner so that the remaining hexagon $PQRSTU$ is a regular hexagon. What is the perimeter of this regular hexagon? ( ) \nA. $2a$\nB. $3a$\nC. $\\dfrac{3}{2}a$\nD...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_62_0.png" ]	data_63
[ { "content": "<image>In the figure, in $$\\triangle ABC$$, $$AB=AC$$, $$AD\\bot BC$$, with the foot of the perpendicular at $$D$$. Which of the following conclusions is incorrect? \nA. $$\\angle B=\\angle C$$\nB. $$BA=BC$$\nC. $$\\angle 1=\\angle 2$$\nD. $$BD=DC$$\n\nYou first think through the reasoning proce...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_63_0.png" ]	data_64
[ { "content": "<image>If the result of the program given in the flowchart is $$S=90$$, then the judgment condition about $$k$$ that should be filled in the judgment box is ( ). \nA. $$k \\leqslant 8$$\nB. $$k \\leqslant 7$$\nC. $$k>9$$\nD. $$k>8$$\n\nYou first think through the reasoning process as an internal ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_64_0.png" ]	data_65
[ { "content": "<image>As shown in the figure, in the sector $$AOB$$, $$\\angle AOB=90^\\circ$$, the vertex $$C$$ of the square $$CDEF$$ is the midpoint of $$\\overparen{AB}$$, point $$D$$ is on $$OB$$, and point $$E$$ is on the extension of $$OB$$. When the side length of the square $$CDEF$$ is $$2\\sqrt2$$, the...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_65_0.png" ]	data_66
[ { "content": "<image>As shown in the figure, the area of parallelogram OABC is 8. Diagonal AC is perpendicular to CO, and AC intersects BO at point E. An exponential function y = a^x (a > 0 and a ≠ 1) passes through points E and B. What is the value of a? \nA. √2\nB. √3\nC. 2\nD. 3\n\nYou first think through th...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_66_0.png" ]	data_67
[ { "content": "<image>As shown in the figure, AB = AC, AD = AE. To prove that △ABD ≌ △ACE, which additional condition can be used? \nA. ∠1 = ∠2\nB. ∠B = ∠C\nC. ∠D = ∠E\nD. ∠BAE = ∠CAD\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_67_0.png" ]	data_68
[ { "content": "<image>As shown in the figure, the main view of the regular triangular prism $ABC-{{A}_{1}}{{B}_{1}}{{C}_{1}}$ is a square with a side length of 4. What is the area of the left view of this regular triangular prism? \nA. 16\nB. $2\\sqrt{3}$\nC. $4\\sqrt{3}$\nD. $8\\sqrt{3}$\n\nYou first think thr...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_68_0.png" ]	data_69
[ { "content": "<image>As shown in the figure, $$AD \\parallel BC \\parallel x$$-axis. Which of the following statements is correct? \nA. The x-coordinates of points $$A$$ and $$D$$ are the same\nB. The y-coordinates of points $$B$$ and $$C$$ are the same\nC. The x-coordinates of points $$C$$ and $$D$$ are the s...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_69_0.png" ]	data_70
[ { "content": "<image>Given the values of $$x$$ and $$y$$ as shown in the table: From the scatter plot analysis, $$y$$ is linearly related to $$x$$, and the regression equation is $$\\hat y=0.95x+a$$. Then $$a=$$（）.\nA. $$1.9$$\nB. $$2$$\nC. $$2.6$$\nD. $$4.5$$\n\nYou first think through the reasoning process a...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_70_0.png" ]	data_71
[ { "content": "<image>As shown in the figure, in quadrilateral $$ABCD$$, diagonals $$AC$$ and $$BD$$ intersect at $$E$$, $$\\angle CBD=90\\degree$$, $$BC=4$$, $$BE=ED=3$$, $$AC=10$$. What is the area of quadrilateral $$ABCD$$? \nA. $$6$$\nB. $$12$$\nC. $$20$$\nD. $$24$$\n\nYou first think through the reasoning ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_71_0.png" ]	data_72
[ { "content": "<image>In the figure, in △ABC, points D and E are the midpoints of sides AB and AC, respectively, and BC = 6, then DE = ( ) \nA. 5\nB. 4\nC. 3\nD. 2\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enc...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_72_0.png" ]	data_73
[ { "content": "<image>As shown in the figure, $$AB$$ is the diameter of circle $$\\odot O$$, and points $$C$$, $$D$$ are two trisection points of the semicircular arc $$\\overset{\\frown} {AB}$$. Given $$\\overrightarrow{AB}=\\overrightarrow{a}$$ and $$\\overrightarrow{AC}=\\overrightarrow{b}$$, then $$\\overrig...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_73_0.png" ]	data_74
[ { "content": "<image>Near point $$O$$ in the park, there are four trees $$E$$, $$F$$, $$G$$, and $$H$$, as shown in the figure (the sides of the small squares in the figure are all equal). It is planned to build a circular pond with $$O$$ as the center and $$OA$$ as the radius. It is required that no trees rema...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_74_0.png" ]	data_75
[ { "content": "<image>As shown in the figure, given that DE∥BC and EF∥AB, which of the following proportional expressions is incorrect? \nA. $\\frac{\\text{AD}}{\\text{AB}}=\\frac{\\text{AE}}{\\text{AC}}$\nB. $\\frac{\\text{CE}}{\\text{CF}}=\\frac{\\text{EA}}{\\text{FB}}$\nC. $\\frac{\\text{DE}}{\\text{BC}}=\\f...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_75_0.png" ]	data_76
[ { "content": "<image>As shown in the figure, in the Cartesian coordinate system $xOy$, the vertices of angles $\\alpha$ and $\\beta$ coincide with the origin, and their initial sides coincide with the non-negative half of the $x$-axis. Their terminal sides intersect the unit circle at points $A$ and $B$, respec...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_76_0.png" ]	data_77
[ { "content": "<image>In the geometric solid shown in the figure, the shapes seen from above that are the same are ( ) \nA. 1. 2.\nB. 1. 3.\nC. 2. 3.\nD. 2. 4.\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclose...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_77_0.png" ]	data_78
[ { "content": "<image>In the right-angled triangle paper $\\triangle ABC$, it is known that $\\angle B=90^{\\circ}$, $AB=6$, and $BC=8$. The paper is folded so that side $AB$ overlaps with side $AC$, and point $B$ lands on point $E$. The fold line is $AD$. What is the length of $BD$? \nA. $3$\nB. $4$\nC. $5$\nD...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_78_0.png" ]	data_79
[ { "content": "<image>As shown in the figure, the side length of square $ABCD$ is $2$. A line segment $QR$ of length $2$ has its ends placed on two adjacent sides of the square and slides along them. If point $Q$ starts from point $A$ and slides in the direction $A\\rightarrow B\\rightarrow C\\rightarrow D\\righ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_79_0.png" ]	data_80
[ { "content": "<image>Execute the program flowchart as shown. If the inputs $$a$$, $$b$$, $$k$$ are $$1$$, $$2$$, $$3$$ respectively, then the output $$M=$$ ( ) \nA. $$\\dfrac{20}{3}$$\nB. $$\\dfrac{7}{2}$$\nC. $$\\dfrac{16}{5}$$\nD. $$\\dfrac{15}{8}$$\n\nYou first think through the reasoning process as an inte...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_80_0.png" ]	data_81
[ { "content": "<image>As shown in the figure, in $\\Delta ABC$, $CD$ bisects $\\angle ACB$ and intersects $AB$ at point $D$. A line through point $D$ parallel to $BC$ intersects $AC$ at point $E$. If $\\angle A={{54}^{\\circ }},\\angle B={{48}^{\\circ }}$, then the measure of $\\angle CDE$ is ( ) \nA. ${{44}^{\...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_81_0.png" ]	data_82
[ { "content": "<image>A school conducted a sampling survey to understand the height conditions of students. The sample included an equal number of boys and girls, and the groups were divided as follows (unit: cm): A: x < 155, B: 155 ≤ x < 160, C: 160 ≤ x < 165, D: 165 ≤ x < 170, E: x ≥ 170. The following statist...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_82_0.png" ]	data_83
[ { "content": "<image>The diagram below belongs to ( ) \nA. Flowchart\nB. Structure Chart\nC. Program Flowchart\nD. Process Flowchart\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final answer enclosed within \\boxed{}.", ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_83_0.png" ]	data_84
[ { "content": "<image>In the figure, in $\\triangle ABC$, point $D$ is a point on side $AB$, and point $F$ is a point on the extension of $BC$. $DF$ intersects $AC$ at point $E$. Which of the following conclusions is incorrect? \nA. $\\angle F + \\angle ACF = \\angle A + \\angle ADF$\nB. $ \\angle B + \\angle AC...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_84_0.png" ]	data_85
[ { "content": "<image>As shown in the figure, which of the following conditions cannot be used to determine that the lines $$l_1 \\parallel l_2$$? \nA. $$\\angle 1 = \\angle 3$$\nB. $$\\angle 2 = \\angle 3$$\nC. $$\\angle 4 = \\angle 5$$\nD. $$\\angle 2 + \\angle 4 = 180^\\circ$$\n\nYou first think through the ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_85_0.png" ]	data_86
[ { "content": "<image>A school conducts a physical examination for the senior high school students. The weight data (unit: kg) of the senior high school boys has been organized and divided into five groups, and a frequency distribution histogram has been drawn (as shown in the figure). According to general stand...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_86_0.png" ]	data_87
[ { "content": "<image>As shown in the figure, in △ABC, arcs are drawn with points A and B as centers and a radius greater than $\\frac{1}{2}$AB, intersecting at points M and N. The line MN is drawn, intersecting BC at point D. AD is connected. If the perimeter of △ADC is 8, and AB=6, then the perimeter of △ABC i...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_87_0.png" ]	data_88
[ { "content": "<image>As shown in the figure, parallelogram ABCD is folded so that vertex D lands exactly on point M on side AB, with the fold line being AN. For the conclusions 1. MN∥BC, 2. MN=AM, which of the following statements is correct? \nA. Both 1 and 2 are correct\nB. Both 1 and 2 are incorrect\nC. 1 i...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_88_0.png" ]	data_89
[ { "content": "<image>As shown in the figure, this is the process of measuring the volume of an object: (1 ml = 1 cm³) Step one: Pour 300 ml of water into a 500 ml cup. Step two: Place four identical glass balls into the water, and the water does not overflow. Step three: Add one more identical glass ball, and t...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_89_0.png" ]	data_90
[ { "content": "<image>As shown in the figure, the line $$y=kx+b$$ intersects the $$x$$-axis at the point $$\\left(-4,0\\right)$$. When $$y>0$$, the range of $$x$$ is ( ). \nA. $$x< -4$$\nB. $$x>0$$\nC. $$x>-4$$\nD. $$x< 0$$\n\nYou first think through the reasoning process as an internal monologue, enclosed wit...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_90_0.png" ]	data_91
[ { "content": "<image>If the flowchart of a certain program is as shown in the figure, then the value of $i$ output after the program runs is ( ) \nA. 4\nB. 5\nC. 6\nD. 7\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide your final ans...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_91_0.png" ]	data_92
[ { "content": "<image>The C919 large passenger aircraft is China's first large civil aircraft developed in accordance with the latest international airworthiness standards, with complete independent intellectual property rights, and a maximum seating capacity of 190. In the aircraft logo shown, the angle that ca...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_92_0.png" ]	data_93
[ { "content": "<image>As shown in the figure, the 'Zhao Shuang String Diagram' dartboard is made up of four congruent right-angled triangles with legs of lengths $1$ and $2$. Student Xiaoming stands a certain distance from the dartboard and throws darts at it (assuming all thrown darts stick to the dartboard). T...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_93_0.png" ]	data_94
[ { "content": "<image>In the ancient Chinese mathematical classic 'Nine Chapters on the Mathematical Art', there is a problem in the 'Surplus and Deficiency' section: 'There is a wall 9 feet high. A melon grows above it, with the vine growing 7 inches per day; a gourd grows below it, with the vine growing 1 foot...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_94_0.png" ]	data_95
[ { "content": "<image>As shown in the figure, $$AB$$ and $$AC$$ are tangents to circle $$ \\odot O$$, with $$B$$ and $$C$$ being the points of tangency, and $$ \\angle A = 50^{ \\circ }$$. Point $$P$$ is a moving point on the circle, distinct from $$B$$ and $$C$$, and lies on the arc $$\\overset{\\frown} {BMC}$$...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_95_0.png" ]	data_96
[ { "content": "<image>2019 was the 70th anniversary of the founding of China and a critical year for building a moderately prosperous society in all respects. To celebrate the 70th birthday of the country, the entire population united to build a moderately prosperous society. A school specially organized a 'Welc...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_96_0.png" ]	data_97
[ { "content": "<image>As shown in the figure, quadrilateral $$ABCD$$ is a square, and $$O$$ is the intersection point of the diagonals $$AC$$ and $$BD$$. To transform $$ \\triangle COD$$ into $$ \\triangle DOA$$, $$ \\triangle COD$$ must be rotated around point $$O$$ ( ) \nA. 90° clockwise\nB. 45° clockwise\nC....	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_97_0.png" ]	data_98
[ { "content": "<image>As shown in the figure, the diameter CD of circle O is perpendicular to chord AB at point E, and CE=2, DE=8. Then the length of AB is ( ) \nA. 2\nB. 4\nC. 6\nD. 8\n\nYou first think through the reasoning process as an internal monologue, enclosed within <think> </think> tags. Then, provide ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_98_0.png" ]	data_99
[ { "content": "<image>As shown in the diagram, the algorithm flowchart is inspired by the 'method of successive subtraction' from the ancient Chinese mathematical classic 'The Nine Chapters on the Mathematical Art'. If the input values of $a$ and $b$ are 12 and 30 respectively, then the output value of $a$ is ( ...	[ "images/NASPO_MMK12_test/NASPO_MMK12_test_99_0.png" ]	data_100

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NAS-PO evaluation benchmark

This repository contains the eight evaluation configurations reported by NAS-PO. They are prepared from MMK12, Geometry3K, MathVerse, MathVista, We-Math, MMMU-Pro, and LogicVista.

The release contains eight Hugging Face dataset splits under data/ and one matching image ZIP for each split. The NAS-PO preprocessing command converts the selected splits to ShareGPT JSON and extracts the archives into its local data/images/ directory. Image references are portable paths relative to that materialized data root.

Usage

from datasets import load_dataset

mmk12 = load_dataset("ANke121/NASPO_eval", split="NASPO_MMK12")
assert len(mmk12) == 2000

The complete inference and Accuracy@8 workflow is provided by NASPO-Eval in the NAS-PO source repository.

Acknowledgements

The public PAPO release was used as a reference for organizing these files and the evaluation workflow. The individual datasets and benchmarks remain credited to their original creators and are subject to their respective licenses and terms.

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