question large_stringlengths 31 1.29k | answer large_stringlengths 9 121 | PassRate_32BTrained float64 0.03 1 | PassRate_7BBase float64 -1 1 | category large_stringclasses 8
values | source large_stringclasses 16
values | qid large_stringlengths 7 61 | image_paths listlengths 1 1 | image imagewidth (px) 45 3.11k |
|---|---|---|---|---|---|---|---|---|
<image>
As shown in the figure, there are 6 playing cards. If two cards are drawn at random, the probability that the sum of their values is even is. | \boxed{\frac{7}{15}} | 1 | 0.75 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-5818f917-80eb-4001-a32c-dd30e7428fc9 | [
"images/MMK12-5818f917-80eb-4001-a32c-dd30e7428fc9-0.png"
] | |
<image>
As shown in the figure, the linear function $y_{1}=x+b$ intersects with the hyperbolic function $y_{2}=\frac{k}{x}$ at points $A(1, a)$ and $D(-4, -1)$, and intersects with the $y$-axis and $x$-axis at points $B$ and $C$, respectively. Draw $AE\perp y$-axis at point $E$, and connect $DE$. What is the area of $\... | \boxed{\frac{5}{2}} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4062 | [
"images/MMMath-4062-0.png"
] | |
<image>In the algorithm shown in the figure, the output result is. | \boxed{3} | 1 | 1 | (GradeSchool) Non-Geo Math | K12 | K12-10800 | [
"images/K12-10800-0.png"
] | |
<image>
As shown in the figure, in the rectangular coordinate system $$xOy$$, it is known that $$A(12,0)$$, $$B(0,9)$$, $$C(3,0)$$, $$D(0,4)$$, and $$Q$$ is a moving point on line segment $$AB$$. $$OQ$$ intersects the circle passing through points $$O$$, $$C$$, and $$D$$ at point $$P$$. The value of $$OP \cdot OQ$$ is ... | \boxed{36} | 0.5 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-10a2843d-c604-4625-a445-f04245878890 | [
"images/MMK12-10a2843d-c604-4625-a445-f04245878890-0.png"
] | |
<image>
As shown in the figure, CD is the altitude of △ABC, E and F are the midpoints of BC and AC, respectively. If the perimeter of △ABC is 16, then the perimeter of △DEF is. | \boxed{8} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-267c3fa0-2356-4b72-a1f1-fe5209ea28e3 | [
"images/MMK12-267c3fa0-2356-4b72-a1f1-fe5209ea28e3-0.png"
] | |
<image>
Question: The line \( L \) is given in parametric form as:\[L: \frac{x - 1}{0} = \frac{y}{1} = \frac{z}{1}\]Rotating this line around the \( z \)-axis for one full revolution generates a rotational surface. Find the equation of this surface. | \boxed{x^2 + y^2 - z^2 = 1} | 0.75 | -1 | Broader STEM Topics | R1OneVision | R1OneVision-gaoshu-52-Math-college | [
"images/R1OneVision-gaoshu-52-Math-college-0.png"
] | |
<image>
James wrote a different integer from 1 to 9 in each cell of a table. He then calculated the sum of the integers in each of the rows and in each of the columns of the table. Five of his answers were 12, 13, 15, 16, and 17, in some order. What was his sixth answer? Let's think step by step and output the final an... | \boxed{17} | 0.375 | -1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-22010 | [
"images/DeepScaleR-110-0.png"
] | |
<image>As shown in the figure, P is a point outside circle O, PA and PB are tangent to circle O at points A and B, respectively, and CD is tangent to circle O at point E, intersecting PA and PB at points C and D, respectively. If PA = 15, then the perimeter of triangle PCD is (). | \boxed{30} | 1 | 0.828125 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-2140 | [
"images/geoqa_plus-2140-0.png"
] | |
<image>
As shown in the figure, in a rectangular coordinate system with $O$ as the origin, points $A$ and $C$ are on the positive half-axes of the $x$-axis and $y$-axis, respectively, and point $B$ is in the first quadrant. Quadrilateral $OABC$ is a rectangle. The inverse proportion function $y=\frac{k}{x} (x > 0)$ int... | \boxed{3} | 0.125 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-ff66e1fd-51c1-4235-8cc9-fe978c09acd2 | [
"images/MMK12-ff66e1fd-51c1-4235-8cc9-fe978c09acd2-0.png"
] | |
<image>
What is the value of y? | \boxed{13} | 0.375 | -1 | (GradeSchool) Geometric | Processed | Processed-f03184db-7824-4c92-9b2a-58a1348f49dd | [
"images/Processed-f03184db-7824-4c92-9b2a-58a1348f49dd-0.png"
] | |
<image>
Given the solution sets of two inequalities represented on the number line as shown in the figure, the solution set of the system of inequalities formed by these two inequalities is ( )
A. $x\geqslant 1$
B. $x \gt -1$
C. $x \gt 1$
D. $-1\leqslant x\leqslant 1$ | \boxed{C} | 0.9375 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-b24fae88-3bcd-4640-a039-5f3d2cfdc5a3 | [
"images/MMK12-b24fae88-3bcd-4640-a039-5f3d2cfdc5a3-0.png"
] | |
<image>/nBased on the given images, answer the following question.
What is the maximum value of 2x + 3y given the constraints: x - y <= 10, 0 <= x + y <= 20, and 0 <= y <= 15? | \boxed{55} | 1 | 0.75 | (GradeSchool) Non-Geo Math | Processed | Processed-4fbf4308-025c-4f06-bdcc-df496238d33c | [
"images/Processed-308415db-2679-4a16-998d-fa0ee4ffef83-0.jpg"
] | |
<image>
As shown in the figure, in the Cartesian coordinate system $$xOy$$, the ray $$OT$$ is the terminal side of a $$60^{\circ}$$ angle. If a ray $$OA$$ is drawn arbitrarily, then the probability that ray $$OA$$ falls within $$∠xOT$$ is ___. | \boxed{\dfrac{1}{6}} | 1 | 1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-66edf5da-0be0-4ef0-b6c0-7095eb4499ea | [
"images/MMK12-66edf5da-0be0-4ef0-b6c0-7095eb4499ea-0.png"
] | |
<image>
The system of inequalities representing the shaded area in the figure is ___. | \boxed{\left\lbrace\begin{align}& 2x+3y-12\leqslant 0,\cr& 2x-3y-6\leqslant 0,\cr& 3x+2y-6\geqslant 0\end{align}\right .} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-98ed4c3a-63a3-4938-acd1-d5463479bede | [
"images/MMK12-98ed4c3a-63a3-4938-acd1-d5463479bede-0.png"
] | |
<image>
As shown in the diagram, for the inscribed quadrilateral $ABCD$ in the circle $\odot O$, if $\angle BCD=130^\circ$, then what is the degree measure of $\angle BOD$? | \boxed{100} | 1 | 0.625 | (GradeSchool) Non-Geo Math | MMMath | MMMath-2796 | [
"images/MMMath-2796-0.png"
] | |
<image>
As shown in the figure, in $\triangle ABC$, $AB=AD=DC$. If $\angle BAD=20^\circ$, find the degree measure of $\angle C$? | \boxed{40} | 1 | 0.25 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4179 | [
"images/MMMath-4179-0.png"
] | |
<image>
如图，已知a∥b，三角板的直角顶点放在直线b上，两直角边与直线a相交，如果∠1＝55°，那么∠3的度数为（）？ | \boxed{35°} | 1 | 0 | (GradeSchool) Geometric | Processed | Processed-7dee151a-61e9-4bd3-8743-3d2208f95137 | [
"images/Processed-7dee151a-61e9-4bd3-8743-3d2208f95137-0.jpg"
] | |
<image>
One of the following four-digit numbers is not divisible by 4: 3544, 3554, 3564, 3572, 3576. What is the product of the units digit and the tens digit of that number? Let's think step by step and output the final answer within \boxed{}. | \boxed{20} | 1 | 1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-39112 | [
"images/DeepScaleR-152-0.png"
] | |
<image>
Juan is measuring the diameter of a large rather ornamental plate to cover it with a decorative film. Its actual diameter is 30cm, but his measurement tool has an error of up to $30\%$. Compute the largest possible percent error, in percent, in Juan's calculated area of the ornamental plate. Let's think step by... | \boxed{69} | 1 | 0.390625 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-11255 | [
"images/DeepScaleR-315-0.png"
] | |
<image>Based on this information, what is Dasher's phenotype for the coat color trait?
A. a black coat
B. a red coat | \boxed{B} | 1 | 0.75 | (GradeSchool) Science | M3CoT | M3CoT-38039 | [
"images/M3CoT-38039-0.png"
] | |
<image>As shown in the figure: AB is a ladder leaning against the wall AC, the foot of the ladder B is 1.6m away from the wall, the top of the ladder D is 1.4m away from the wall, BD=0.55m, the length of the ladder is ( )
A. 3.84m
B. 4.00m
C. 4.4m
D. 4.5m | \boxed{C} | 0.875 | -1 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-3463 | [
"images/geoqa_plus-3463-0.png"
] | |
<image>
On a trip from the United States to Canada, Isabella took $d$ U.S. dollars. At the border she exchanged them all, receiving $10$ Canadian dollars for every $7$ U.S. dollars. After spending $60$ Canadian dollars, she had $d$ Canadian dollars left. What is the sum of the digits of $d$? Let's think step by step an... | \boxed{5} | 1 | 1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-2731 | [
"images/DeepScaleR-591-0.png"
] | |
<image>/nBased on the given images, answer the following question.
As shown in the figure, points A and B are two observation points on the sea located 5(3 + √3) nautical miles apart in the east-west direction. A ship at point D, positioned at 45° northeast from point A and 60° northwest from point B, sends a distress... | \boxed{1} | 0.25 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-ee1021de-aea5-453a-953d-39da10937b6d | [
"images/Processed-ee1021de-aea5-453a-953d-39da10937b6d-0.jpg"
] | |
<image>
As shown in the figure, in the Cartesian coordinate system, the line $$l: y = x + 2$$ intersects the $$x$$-axis at point $$A$$ and the $$y$$-axis at point $$A_1$$. Points $$A_2$$, $$A_3$$, $$\cdots$$ lie on line $$l$$, and points $$B_1$$, $$B_2$$, $$B_3$$, $$\cdots$$ lie on the positive half of the $$x$$-axis. ... | \boxed{2^{n+1}-2} | 0.25 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-eb717fb2-44dd-47eb-8a59-3916d1c83781 | [
"images/MMK12-eb717fb2-44dd-47eb-8a59-3916d1c83781-0.png"
] | |
<image>
As shown in the figure, if $AB \parallel CD$, $\angle 1 = 50^\circ$, then $\angle 2 =$. | \boxed{130^\circ} | 0.25 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-a65251d4-ff2a-4ab5-8961-fed2683ca669 | [
"images/MMK12-a65251d4-ff2a-4ab5-8961-fed2683ca669-0.png"
] | |
<image>
As shown in the figure, given AB∥CD, if $\frac{AB}{CD}=\frac{1}{4}$, then $\frac{OA}{OC}$=． | \boxed{\frac{1}{4}} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-a30d5323-e55a-49af-8df5-c92faf2e403c | [
"images/MMK12-a30d5323-e55a-49af-8df5-c92faf2e403c-0.png"
] | |
<image>/nBased on the given images, answer the following question.
Read the program flowchart and execute the corresponding program. What is the output value?
Options:
A. 1
B. 2
C. 4
D. 65 | \boxed{C} | 1 | 0 | (GradeSchool) Non-Geo Math | Processed | Processed-e0d4b991-0fea-4937-8fa1-c26e7e8ca392 | [
"images/Processed-e0d4b991-0fea-4937-8fa1-c26e7e8ca392-0.jpg"
] | |
<image>
As shown in the figure, it is known that the volume of a cylindrical Red Bull can is 250 mL. When the radius of the base (expressed in terms of π) is equal to what, the material used will be minimized? | \boxed{\frac{5\sqrt[3]{{{\pi }^{2}}}}{\pi }} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-62d2f739-31f4-4b26-a596-809c2b343095 | [
"images/MMK12-62d2f739-31f4-4b26-a596-809c2b343095-0.png"
] | |
Respond using only the letter corresponding to the correct answer.
What does the color coding in the scatter plot represent? Choose from the following options
A. The value of the CII/FIR ratio
B. The specific galaxy being observed
C. The logarithm of the sum of FIR luminosity
D. The age of the galaxies | \boxed{C} | 1 | 1 | Tables/Diagrams/Charts | Processed | Processed-f5dae7bf-24b3-4b1a-8a39-def5e318a8d0 | [
"images/Processed-f5dae7bf-24b3-4b1a-8a39-def5e318a8d0-0.jpg"
] | |
<image>/nBased on the given images, answer the following question.
In order to help athletes A and B achieve excellent results in the freestyle skiing big air competition, it is necessary to study their motion state from take-off to landing on the snow slope. As shown in the figure, a plane Cartesian coordinate system... | \boxed{A} | 1 | 0.75 | (GradeSchool) Non-Geo Math | Processed | Processed-e97b4e8c-8154-49ff-897f-e7e10ff67252 | [
"images/Processed-e97b4e8c-8154-49ff-897f-e7e10ff67252-0.jpg"
] | |
<image>
The random variable $X$ follows a normal distribution $N(1,4)$. Given that $P(X \geqslant 2) = 0.2$, calculate the probability that $0 \leqslant X \leqslant 1$. Let's think step by step and output the final answer within \boxed{}. | \boxed{0.3} | 1 | 0.53125 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-16920 | [
"images/DeepScaleR-100-0.png"
] | |
<image>
How many times does the y value decrease as the x value increases? | \boxed{2} | 1 | 1 | Tables/Diagrams/Charts | Processed | Processed-91625aaf-1681-45be-953e-55d1f046ebaa | [
"images/Processed-91625aaf-1681-45be-953e-55d1f046ebaa-0.jpg"
] | |
<image>Birds have feathers, two wings, and a beak. A flamingo is an example of a bird.
Select the bird below.
A. red-tailed hawk
B. Mojave rattlesnake | \boxed{A} | 1 | 1 | (GradeSchool) Science | ScienceQA | ScienceQA-6438 | [
"images/ScienceQA-6438-0.png"
] | |
As shown in the figure, in the Cartesian coordinate system, the line $y = 2x + 6$ intersects the x-axis at point A and intersects the y-axis at point C. The parabola $y = -2x^2 + bx + c$ passes through points A and C, and intersects the x-axis at another point B. Find the analytical equation of the parabola.
<image> | \boxed{-2x^{2}-4x+6} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-3292 | [
"images/MMMath-3292-0.png"
] | |
<image>
After cutting out a sector with a central angle of ${n}^{\circ}$ from a circle with a radius of $5$ (as shown in Figure 1), the remaining part is formed into a cone as shown in Figure 2. What is the value of $n$? | \boxed{144} | 0.25 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-0bdcbe46-f28a-41ab-b0ae-56c97d46d070 | [
"images/MMK12-0bdcbe46-f28a-41ab-b0ae-56c97d46d070-0.png"
] | |
<image>As shown in the figure, line AE∥BD, point C is on BD. If AE＝4, BD＝8, and the area of △ABD is 16, then the area of △ACE is. | \boxed{8} | 0.875 | -1 | (GradeSchool) Non-Geo Math | K12 | K12-3315 | [
"images/K12-3315-0.png"
] | |
<image>
Which function grows faster? choice: (A) Orange (B) Blue | \boxed{A} | 1 | 0.875 | (GradeSchool) Non-Geo Math | Processed | Processed-1636c869-d306-4829-867f-9794fa2561a7 | [
"images/Processed-1636c869-d306-4829-867f-9794fa2561a7-0.png"
] | |
<image>How many people like the least preferred object in the whole chart? | \boxed{2} | 1 | 1 | Tables/Diagrams/Charts | dvqa | dvqa-19059 | [
"images/dvqa-19059-0.png"
] | |
<image>
Execute the program flowchart as shown in the figure, the output result is. | \boxed{{{2}^{2020}}-2} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-5dda7b3f-109b-42db-a607-caccbc8a33b6 | [
"images/MMK12-5dda7b3f-109b-42db-a607-caccbc8a33b6-0.png"
] | |
<image>
The figure below is a flowchart of an algorithm that outputs a sequence of numbers. The third term of this sequence is ___. | \boxed{30} | 1 | 0.375 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-c8691ef9-5bea-48ce-bf3a-5c52b5c311b5 | [
"images/MMK12-c8691ef9-5bea-48ce-bf3a-5c52b5c311b5-0.png"
] | |
As shown in the figure, it is known that the parabola $y=ax^2+bx-1\ (a\ne 0)$ intersects the x-axis at points $A(-2, 0)$ and $B(2, 0)$, and intersects the y-axis at point D. The line through point $C(0, 1)$ intersects the parabola at points A and F. What is the equation of the parabola?
<image> | \boxed{y=\frac{1}{4}x^{2}-1} | 1 | 0.75 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5194 | [
"images/MMMath-5194-0.png"
] | |
<image>
As shown in the figure, the edge length of the cube $$ABCD-A_{1}B_{1}C_{1}D_{1}$$ is $$1$$, and $$E$$, $$F$$ are points on the segments $$AA_{1}$$, $$B_{1}C$$, respectively. The volume of the tetrahedron $$D_{1}-EDF$$ is ___. | \boxed{\dfrac{1}{6}} | 1 | 0.5 | Spatial Reasoning | MMK12 | MMK12-4e8c07bc-080f-48b4-a39e-42d24984e117 | [
"images/MMK12-4e8c07bc-080f-48b4-a39e-42d24984e117-0.png"
] | |
<image>/nBased on the given images, answer the following question.
Given the line l passes through the point A(1,2) and does not pass through the fourth quadrant, what is the maximum value of the slope k of the line l? Choices: A. 2 B. 1/2 D. 0 | \boxed{A} | 1 | 0.125 | (GradeSchool) Non-Geo Math | Processed | Processed-9bb703ae-f54e-49e5-893e-22c8f858e11c | [
"images/Processed-9bb703ae-f54e-49e5-893e-22c8f858e11c-0.jpg"
] | |
<image>
What is the average rate of change in the y-values per unit increase in the x-values? | \boxed{8.5} | 1 | 0.5 | (GradeSchool) Non-Geo Math | Processed | Processed-4630dd39-5762-47f4-b903-232da80ec2df | [
"images/Processed-4630dd39-5762-47f4-b903-232da80ec2df-0.jpg"
] | |
<image>
As shown in the figure, if $$\triangle ABC \cong \triangle DEF$$, the perimeter of $$\triangle DEF$$ is $$32cm$$, $$DE=9cm$$, $$EF=13cm$$, and $$\angle E = \angle B$$, then $$AC =$$ ______ $$cm$$. | \boxed{10} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-df031407-200b-409e-922e-9d19107c6647 | [
"images/MMK12-df031407-200b-409e-922e-9d19107c6647-0.png"
] | |
<image>
According to the program shown in the figure, if the initial input value of $$x$$ is $$48$$, we find that the first result obtained is $$24$$, the second result is $$12$$, $$\cdots $$, then the result obtained at the $$\number{2016}$$th time is ___. | \boxed{-1} | 0.125 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-f61041f9-1cb4-420a-ae67-09ae502481da | [
"images/MMK12-f61041f9-1cb4-420a-ae67-09ae502481da-0.png"
] | |
The below problem is with the following images:
<image>
Calculate the measure of angle ZXV. | \boxed{115} | 0.1875 | -1 | (GradeSchool) Geometric | Processed | Processed-a8b0e77a-2e8e-41b2-96a2-a9b33549f419 | [
"images/Processed-27cf144a-22db-49e5-8091-dfc1d4d0f2c2-0.png"
] | |
<image>
As shown in the figure, it is known that in quadrilateral $ABCD$, $AB \parallel CD$, $BC=AD=4$, $AB=CD=10$, $\angle DCB=90^\circ$. $E$ is a point on the side $CD$, with $DE=7$. A moving point $P$ starts from point $A$ and moves towards point $B$ along side $AB$ at a speed of 1 unit per second. Line $PE$ is draw... | \boxed{5} | 0.75 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5638 | [
"images/MMMath-5638-0.png"
] | |
<image>
The chart shows the number of days it takes for 3 workers to complete a certain task individually. Calculate the number of days it would take for the three to complete the task working together. | \boxed{5} | 1 | 1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-a9b1945b-4c87-4f7c-8708-c027f09827eb | [
"images/MMK12-a9b1945b-4c87-4f7c-8708-c027f09827eb-0.png"
] | |
<image>
Execute the program flowchart shown in the figure. If the output is $s=1320$, then the positive integer $M$ is. | \boxed{13} | 0.625 | -1 | Tables/Diagrams/Charts | MMK12 | MMK12-05873c75-1643-4ac2-b30b-01f269bac09a | [
"images/MMK12-05873c75-1643-4ac2-b30b-01f269bac09a-0.png"
] | |
<image>
As shown in the figure, point B is a point on line segment AC, and $AB=27\text{cm}$, $BC=\frac{1}{3}AB$. If point O is the midpoint of line segment AC, what is the length of line segment $OB$ in cm? | \boxed{9} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4478 | [
"images/MMMath-4478-0.png"
] | |
As shown in the figure, the coordinates of the two endpoints of line segment AB are A(6, 6) and B(8, 2), respectively. Using the origin O as the center of similarity, and reducing the line segment AB to half of its original size within the first quadrant, what are the coordinates of endpoint C?
<image> | \boxed{(3,3)} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-2702 | [
"images/MMMath-2702-0.png"
] | |
<image>
In the flowchart shown, if the input S=0, then the output value of S is ______ | \boxed{1023} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-0bcc6977-0fe4-43c7-aa23-7be8095e11e3 | [
"images/MMK12-0bcc6977-0fe4-43c7-aa23-7be8095e11e3-0.png"
] | |
<image>
Determine the measure of angle X.
Choices:
(A) 62
(B) 80
(C) 108
(D) 110 | \boxed{C} | 1 | 0 | (GradeSchool) Geometric | Processed | Processed-885dcccd-73d3-4178-87e5-11ad84020f62 | [
"images/Processed-885dcccd-73d3-4178-87e5-11ad84020f62-0.png"
] | |
<image>
The enzymatic catalysis of a reaction essential in the production of dog saliva is mediated by the protein ARKKKK60491. ARKKKK60491 is a homodimer, with each subunit being 337 amino acids. Figure 1, below, indicates a modular structure of the homodimer. Three positions are indicated on the model. Position A is ... | \boxed{I} | 1 | 1 | (GradeSchool) Science | Processed | Processed-e5f6b07d-252d-4290-9428-8a2fb9ddd34f | [
"images/Processed-e5f6b07d-252d-4290-9428-8a2fb9ddd34f-0.jpg"
] | |
<image>
What do the red bars represent? | \boxed{2021} | 1 | 1 | Tables/Diagrams/Charts | Processed | Processed-f2a516fb-7bd0-4589-baf6-a3f550e5cfa4 | [
"images/Processed-f2a516fb-7bd0-4589-baf6-a3f550e5cfa4-0.png"
] | |
<image>
Four elements ${\rm W}$, ${\rm X}$, ${\rm Y}$, and ${\rm Z}$, belonging to the first three periods of the periodic table, can form a substance with the structure shown below. In this substance, all atoms satisfy the stable structure rule, and ${\rm W}$ has the largest atomic number. ${\rm Y}$ and ${\rm Z}$ are ... | \boxed{B} | 0.8125 | -1 | (GradeSchool) Science | MMK12 | MMK12-a0e7e0b2-44c1-4cd5-a0f0-49a78e894e73 | [
"images/MMK12-a0e7e0b2-44c1-4cd5-a0f0-49a78e894e73-0.png"
] | |
<image>
Evelyn kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Wednesday and Thursday? | \boxed{-2} | 1 | 0.625 | Tables/Diagrams/Charts | Processed | Processed-e682e345-fc4b-4be8-988b-30f5ecaa80d3 | [
"images/Processed-e682e345-fc4b-4be8-988b-30f5ecaa80d3-0.jpg"
] | |
Given that triangle ABC is inscribed in circle O, OD is perpendicular to BC at D, and ∠DOC is 50°, what is the measure of ∠A in degrees?
The above problem is with the following images:
<image> | \boxed{50} | 0.75 | -1 | (GradeSchool) Geometric | Processed | Processed-3f78c7d7-87a3-4b54-b2d6-d6664526465f | [
"images/Processed-57094031-b942-4454-8fb9-1f1248e73cf3-0.jpg"
] | |
<image>
As shown in the figure, 200 beans are randomly scattered into a square with a side length of 3. Exactly 150 beans fall within the shaded area. The area of the shaded part is approximately. | \boxed{\frac{27}{4}} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-a4f29ab9-dd16-47a4-af61-4dff08450a62 | [
"images/MMK12-a4f29ab9-dd16-47a4-af61-4dff08450a62-0.png"
] | |
<image>
如图,半径为5的圆O中,弦AB和CD所对的圆心角分别是∠AOB和∠COD．已知AB=8,且∠AOB+∠COD=180°,则弦CD的弦心距等于多少?
Choices:
(A) \frac{5}{2}
(B) 3
(C) \frac{7}{2}
(D) 4 | \boxed{D} | 0.5 | -1 | (GradeSchool) Geometric | Processed | Processed-9f3730e7-f49e-4e5d-88b6-f75f459aaf3c | [
"images/Processed-9f3730e7-f49e-4e5d-88b6-f75f459aaf3c-0.jpg"
] | |
As shown in the figure, in the Cartesian coordinate system, the line $l_1\colon y_1=kx+b$ that passes through point $A(-6, 0)$ intersects with the line $l_2\colon y_2=2x$ at point $B(m, 4)$. What is the analytical expression of line $l_1$?
<image> | \boxed{\frac{1}{2}x + 3} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4964 | [
"images/MMMath-4964-0.png"
] | |
As shown in the figure, the graph of the line $y_{1}=2x-2$ intersects the y-axis at point A, and the graph of the line $y_{2}=-2x+6$ intersects the y-axis at point B. The two lines intersect at point C. What is the area of $\triangle ABC$?
<image> | \boxed{8} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5504 | [
"images/MMMath-5504-0.png"
] | |
<image>
In the right triangle $$\triangle ABC$$, $$\angle ACB = 90°$$, points $$D$$, $$E$$, and $$F$$ are the midpoints of $$AB$$, $$AC$$, and $$BC$$, respectively. If $$CD = 5$$, then the length of $$EF$$ is ___. | \boxed{5} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-6d83cb2e-ad37-4d06-bfb6-9b407c198dbc | [
"images/MMK12-6d83cb2e-ad37-4d06-bfb6-9b407c198dbc-0.png"
] | |
<image>
In triangle ABC, where angle C is 90 degrees, AC is equal to BC, AD bisects angle CAB and intersects BC at point D, DE is perpendicular to AB with E as the foot of the perpendicular, and AB is 6cm. What is the perimeter of triangle DEB?
(A) 4cm
(B) 6cm
(C) 8cm
(D) 10cm | \boxed{B} | 1 | 0.25 | (GradeSchool) Geometric | Processed | Processed-106e6b74-86d3-44dd-8cdc-3f0ec4f2f1bc | [
"images/Processed-106e6b74-86d3-44dd-8cdc-3f0ec4f2f1bc-0.jpg"
] | |
5mL 15mL 25mL
Phenolphthalein is an acid-base indicator with a pKa of 9.1. Its protonated form is often abbreviated as $HIn$, while its conjugate base is abbreviated as $In^-$. At the following volumes of NaOH added, select the option that accurately describes which form of the indicator will be present in... | \boxed{A} | 0.875 | -1 | (GradeSchool) Science | Processed | Processed-56307a60-fa73-42f8-a1f0-7786985e3803 | [
"images/Processed-56307a60-fa73-42f8-a1f0-7786985e3803-0.jpg"
] | |
<image>The flowchart is shown in the figure. If the inputs are $$S=1$$ and $$k=1$$, then the output of $$S$$ is ___. | \boxed{57} | 1 | 1 | (GradeSchool) Non-Geo Math | K12 | K12-12873 | [
"images/K12-12873-0.jpg"
] | |
<image>
If ∠1 is 105°, what is the measure of ∠GHD? | \boxed{75°} | 0.75 | -1 | (GradeSchool) Geometric | Processed | Processed-8b16fecb-7290-492b-8cf2-84a4beecc627 | [
"images/Processed-8b16fecb-7290-492b-8cf2-84a4beecc627-0.jpg"
] | |
<image>
The range of values for the independent variable x in the function y = is ______. | \boxed{x > 1} | 0.375 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-85bb4007-228b-4f7d-80f1-a2095ae187cf | [
"images/MMK12-85bb4007-228b-4f7d-80f1-a2095ae187cf-0.png"
] | |
<image>
In the given diagram, ∠DCE is an exterior angle of the cyclic quadrilateral ABCD. If ∠DCE = 75°, what is the measure of ∠BAD?
Choices:
(A) 65°
(B) 75°
(C) 85°
(D) 105° | \boxed{B} | 1 | 0.625 | (GradeSchool) Geometric | Processed | Processed-aa46664b-30fd-4bde-b0c4-43b77389d219 | [
"images/Processed-aa46664b-30fd-4bde-b0c4-43b77389d219-0.jpg"
] | |
What does the x-axis of this graph most likely represent? Choose from the following options
A. Time in seconds
B. Velocity in meters per second
C. Distance in kilometers
D. Frequency in hertz
Provide your answer solely as the option letter, without any additional text. | \boxed{C} | 0.5 | -1 | Tables/Diagrams/Charts | Processed | Processed-64896b12-3a17-4e77-9656-8f0e3a08ef4d | [
"images/Processed-64896b12-3a17-4e77-9656-8f0e3a08ef4d-0.jpg"
] | |
<image>
The result output after the following pseudocode is executed is ___. | \boxed{0} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-dffd9ede-74db-45e3-b09e-709c55921b06 | [
"images/MMK12-2afbf828-d1a4-4d65-8602-033a4131321f-0.png"
] | |
<image>
Question: A circular spinner is divided into \(12\) identical unshaded sections and \(3\) identical shaded sections, as shown.
Each unshaded section is \(3\) times the size of each shaded section. An arrow is attached to the centre of the spinner. The arrow is spun once. What is the probability that the arrow s... | \boxed{D} | 1 | 0 | (GradeSchool) Geometric | R1OneVision | R1OneVision-GAUSS-2024-7-PartB-17-Math-7 | [
"images/R1OneVision-GAUSS-2024-7-PartB-17-Math-7-0.png"
] | |
The below problem is with the following images:
<image>
In triangle ABC, where angle BAC is 30°, AB = AC = 12, point P is a moving point on side AB, and a parallelogram PAQC is constructed with sides PA and PC. What is the minimum length of diagonal PQ? | \boxed{6} | 0.875 | -1 | (GradeSchool) Geometric | Processed | Processed-764329d5-2fc4-40be-bed0-797c15bff4ee | [
"images/Processed-688fd79f-172b-4ee9-9d1d-5e4d6060f3db-0.jpg"
] | |
<image>/nBased on the given images, answer the following question.
In the figure, to measure the distance between the two ends A and B of the pond, a point O is selected on flat ground outside the pond, connecting AO and BO, and extending AO and BO to points C and D, such that AO = DO and BO = CO. The length of CD is ... | \boxed{B} | 1 | 0 | (GradeSchool) Non-Geo Math | Processed | Processed-b586ded5-f77d-4a0d-ae46-ae912ed12333 | [
"images/Processed-b586ded5-f77d-4a0d-ae46-ae912ed12333-0.jpg"
] | |
<image>
Suppose \(a\), \(b\), and \(c\) are three positive numbers that satisfy \(abc = 1\), \(a + \frac{1}{c} = 7\), and \(b + \frac{1}{a} = 34\). Find \(c + \frac{1}{b}\). Let's think step by step and output the final answer within \boxed{}. | \boxed{\frac{43}{237}} | 0.5 | -1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-11079 | [
"images/DeepScaleR-579-0.png"
] | |
<image>As shown in the figure, AB is the diameter of circle O, ∠BAC = 25°, and the measure of ∠ADC is ( )
A. 55°
B. 65°
C. 75°
D. 85° | \boxed{B} | 1 | 0.234375 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-8886 | [
"images/geoqa_plus-8886-0.png"
] | |
<image>
How many contestants scored more than 70? | \boxed{3} | 0.625 | -1 | Tables/Diagrams/Charts | Processed | Processed-31ac147d-3072-49d4-8ed4-7cdb0664792a | [
"images/Processed-31ac147d-3072-49d4-8ed4-7cdb0664792a-0.jpg"
] | |
<image>
In the figure, in $\Delta \text{ABC}$, $\angle C={{90}^{{}^\circ }}$, $\angle A={{30}^{{}^\circ }}$, $\text{AB}+\text{BC}=12\text{cm}$, what is the length of the hypotenuse $\text{AB}$ in $\text{cm}$? | \boxed{8} | 0.75 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-583919e9-7bd5-40c2-bd78-6eaaa48da4f5 | [
"images/MMK12-583919e9-7bd5-40c2-bd78-6eaaa48da4f5-0.png"
] | |
<image>As shown in the figure, AB∥CD, AD intersects BC at point E, CD=5, AE=6, ED=3, then the length of AB is ( )
A. 5
B. 10
C. 15
D. 20 | \boxed{B} | 1 | 0 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-14520 | [
"images/geoqa_plus-1549-0.png"
] | |
<image>
Determine the value of b in the parallelogram provided.
Options:
(A) 2
(B) 8
(C) 9
(D) 10 | \boxed{B} | 0.625 | -1 | (GradeSchool) Geometric | Processed | Processed-fa0c9442-4fb1-4e7d-804c-496817bc88dd | [
"images/Processed-fa0c9442-4fb1-4e7d-804c-496817bc88dd-0.png"
] | |
<image>
As shown in the figure, on a plane, a right-angled triangle is cut off from a corner of a square by a straight line, and the Pythagorean theorem applies: $$c^{2}=a^{2}+b^{2}$$. In space, a tetrahedron with three mutually perpendicular edges is cut off from a corner of a cube by a plane. If the areas of these th... | \boxed{S^{2}=S^{2}_{1}+S^{2}_{2}+S^{2}_{3}} | 1 | 0.5 | Spatial Reasoning | MMK12 | MMK12-0f98b285-1e8f-4496-b47c-2b26774adba2 | [
"images/MMK12-0f98b285-1e8f-4496-b47c-2b26774adba2-0.png"
] | |
In the figure, circle ⊙O is the circumcircle of a triangle, and segments OA and OC are radii of the circle ⊙O with radius R = 2. Given that sinB = \(\frac{3}{4}\), determine the length of the chord AC.
The above problem is with the following images:
<image> | \boxed{3} | 0.75 | -1 | (GradeSchool) Geometric | Processed | Processed-b20ffd5b-635a-44fa-8adc-7f8e43cc6e50 | [
"images/Processed-829ffa50-4b73-414b-9ecb-d9fb86e2d12b-0.jpg"
] | |
refer to the following information.
On October 14, 2012, Felix Baumgartner jumped from a helium balloon that had risen to the stratosphere, 39 km above the surface of planet Earth. The data table below displays a 28-second portion of the speed data from Felix Baumgartner's infamous jump.Calculate the magnitude of Feli... | \boxed{8.9} | 0.75 | -1 | (GradeSchool) Science | Processed | Processed-7f6231e8-e556-4a4f-bdfe-9d68c2415e41 | [
"images/Processed-7f6231e8-e556-4a4f-bdfe-9d68c2415e41-0.jpg"
] | |
<image>
How many colors are used in the image of the duck? | \boxed{6} | 0.5 | -1 | Commonsense | Processed | Processed-36907b74-5763-41b9-98a4-22e2025f111f | [
"images/Processed-36907b74-5763-41b9-98a4-22e2025f111f-0.jpg"
] | |
<image>
As shown in the figure, hexagon ABCDEF is a regular hexagon inscribed in a circle with a radius of 6. What is the length of $\overset{\frown}{CD}$? | \boxed{2\pi} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-2128 | [
"images/MMMath-2128-0.png"
] | |
<image>What percentage of people like the most preferred object in the whole chart? | \boxed{90} | 1 | 1 | Tables/Diagrams/Charts | dvqa | dvqa-21710 | [
"images/dvqa-21710-0.png"
] | |
<image>
Question: Which period 3 element has these successive ionization energies (in kJ·mol^{-1})?
Choices:
A. Al
B. Si
C. P
D. S | \boxed{B} | 0.15625 | -1 | (GradeSchool) Science | R1OneVision | R1OneVision-ACS-2021-9_10_11_12-44-Chemistry-9_10_11_12 | [
"images/R1OneVision-ACS-2021-9_10_11_12-44-Chemistry-9_10_11_12-0.png"
] | |
<image>
As shown in the figure, point C is on the semicircle O with diameter AB, and $AB=2$. AD bisects $\angle BAC$ and intersects BC at point D. CP bisects $\angle BCA$ and intersects AD at point P. $PF\perp AC$, $PE\perp BC$. Quadrilateral CEPF is a square; what is the maximum value of $AC\cdot BC$? | \boxed{2} | 0.9375 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4354 | [
"images/MMMath-4354-0.png"
] | |
<image>
As shown in the figure, in $\vartriangle ABC$, $\overrightarrow{AD}=\frac{1}{3}\overrightarrow{AC}$, $\overrightarrow{BP}=\frac{2}{3}\overrightarrow{BD}$. If $\overrightarrow{AP}=\lambda \overrightarrow{AB}+\mu \overrightarrow{AC}$, then $\frac{\lambda }{\mu }=$. | \boxed{\frac{3}{2}} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-b15ba748-b137-4bd3-8667-13fb3f5decdf | [
"images/MMK12-b15ba748-b137-4bd3-8667-13fb3f5decdf-0.png"
] | |
<image>
Between $$100$$ and $$999$$, there are ______ natural numbers where the digit in the tens place is equal to the sum of the digits in the hundreds and units places. | \boxed{45} | 1 | 0.375 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-b60c765d-e671-45f0-aad2-f658497a68bc | [
"images/MMK12-b60c765d-e671-45f0-aad2-f658497a68bc-0.png"
] | |
<image>
If two marbles are selected without looking, what is the probability that both are orange? | \boxed{1 * 1 or 1} | 1 | 0.75 | (GradeSchool) Non-Geo Math | Processed | Processed-c0708a07-c61a-4173-b549-9ce02ba5b7c3 | [
"images/Processed-c0708a07-c61a-4173-b549-9ce02ba5b7c3-0.jpg"
] | |
<image>
As shown in the figure, it is the frequency distribution histogram of the annual salary of employees (a total of 300 employees) of a company in a certain year. From this, we can know that the number of employees with an annual salary between 140,000 yuan and 160,000 yuan is. | \boxed{72} | 1 | 0 | Tables/Diagrams/Charts | MMK12 | MMK12-6a53e60a-d6dc-42c3-bada-c8b5d96fc093 | [
"images/MMK12-6a53e60a-d6dc-42c3-bada-c8b5d96fc093-0.png"
] | |
<image>
If AD is the median of triangle ABC, and AB = 5, AC = 3, what is the length of BD? | \boxed{2} | 0.625 | -1 | (GradeSchool) Geometric | Processed | Processed-48780537-c40e-42a4-8209-904b44805475 | [
"images/Processed-48780537-c40e-42a4-8209-904b44805475-0.jpg"
] | |
<image>
The flowchart of a program is shown in the figure. After the program runs, the output is $$x=$$ ___. | \boxed{8} | 1 | 1 | Broader STEM Topics | MMK12 | MMK12-4ea573ca-5138-4226-bc0f-e6247b6ee638 | [
"images/MMK12-4ea573ca-5138-4226-bc0f-e6247b6ee638-0.png"
] | |
<image>/nBased on the given images, answer the following question.
Point D is inside triangle ABC, and satisfies the equation \(\overrightarrow{DA} + 4\overrightarrow{DB} + 7\overrightarrow{DC} = \overrightarrow{0}\). What is the ratio \(\frac{S_{\triangle BCD}}{S_{\triangle ABC}}\)? Please choose from the following o... | \boxed{D} | 1 | 0 | (GradeSchool) Non-Geo Math | Processed | Processed-56b1803f-59ee-49b3-bc83-39c149747731 | [
"images/Processed-56b1803f-59ee-49b3-bc83-39c149747731-0.jpg"
] | |
<image>What can be seen in the image?
A. A person's face with a hat
B. A person's lower body with a hat
C. A person's upper body with a hat
D. A person's upper body with a crown | \boxed{C} | 1 | 0.75 | Social Science | M3CoT | M3CoT-41075 | [
"images/M3CoT-41075-0.png"
] | |
<image>
Read the flowchart shown in the figure, run the corresponding program, and the output result is ___. | \boxed{\dfrac{13}{8}} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-cd7801f1-1ee9-4fa5-bdfe-ae2f0abf1389 | [
"images/MMK12-cd7801f1-1ee9-4fa5-bdfe-ae2f0abf1389-0.png"
] | |
<image>
In the figure, in the right triangle ABC, ∠ACB = 90°, ∠A = 20°, and triangle ABC ≌ triangle A'B'C. If A'B' passes exactly through point B, and A'C intersects AB at D, then the measure of ∠BDC is ___°. | \boxed{60} | 0.5 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-bbac34de-7b56-43ad-8aff-fb8055f16dc8 | [
"images/MMK12-bbac34de-7b56-43ad-8aff-fb8055f16dc8-0.png"
] | |
<image>What is the value of the largest bar? | \boxed{1000000000} | 1 | 1 | Tables/Diagrams/Charts | dvqa | dvqa-7518 | [
"images/dvqa-7518-0.png"
] |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 59