Datasets:

MathLLMs
/

MathVision

id stringlengths 1 4	question stringlengths 8 1.5k	options sequencelengths 0 5	image stringlengths 12 15	answer stringclasses 370 values	solution stringlengths 0 3.28k ⌀	level int64 1 5	subject stringclasses 16 values
1	Which number should be written in place of the question mark? <image1>	[]	images/1.jpg	60	null	2	arithmetic
2	Which bike is most expensive? <image1>	[ "A", "B", "C", "D", "E" ]	images/2.jpg	A	null	2	arithmetic
3	Which kite has the longest string? <image1>	[ "A", "B", "C", "D", "E" ]	images/3.jpg	C	null	1	metric geometry - length
4	How many different digits can you find in this picture? <image1>	[]	images/4.jpg	6	null	1	counting
5	Which number do you have to write in the last daisy? <image1>	[]	images/5.jpg	61	null	2	arithmetic
6	Misty the cat has five kittens: two of them are striped, one spotty, the rest of them are absolutely white. In which picture can we see the kittens of Misty, knowing that the ears of one of them are of different colour? <image1>	[ "A", "B", "C", "D", "E" ]	images/6.jpg	D	null	3	logic
7	How many bricks are missing in the wall? <image1>	[]	images/7.jpg	6	null	1	counting
8	The sums of the all the three numbers on each side of the triangle are equal. Two numbers happened to be stained with ink. How much is the sum of these two numbers? <image1>	[]	images/8.jpg	2	null	2	arithmetic
9	A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take? <image1>	[ "A", "B", "C", "D", "E" ]	images/9.jpg	D	null	1	graph theory
10	Four people can be seated at a square table. How many people at most could be seated if we pushed four tables of this kind together in one row? <image1>	[]	images/10.jpg	10	null	2	arithmetic
11	Mike has built a construction, shown in the upper picture, from equal cubes. Lily has taken several cubes out of it, thus Mike's construction became such as we see in the lower picture. How many cubes has Lily taken? <image1>	[]	images/11.jpg	7	null	1	solid geometry
12	Now it is 2008. What is the total sum of these digits? <image1>	[]	images/12.jpg	10	null	2	arithmetic
13	Which of these figures differs from the rest four? <image1>	[ "A", "B", "C", "D", "E" ]	images/13.jpg	E	null	2	transformation geometry
14	Mary has written all the numbers from 1 to 30 . How many times has she written digit 2? <image1>	[]	images/14.jpg	13	null	1	counting
15	Emily celebrated her birthday on Thursday, and her sister Liepa 8 days earlier. Which weekday was that? <image1>	[ "Wednesday", "Thursday", "Friday", "Tuesday", "Sunday" ]	images/15.jpg	A	null	2	arithmetic
16	How many points are there in the three unseen sides of dice? <image1>	[]	images/16.jpg	11	null	2	arithmetic
17	A jump of a little kangaroo is three times shorter than its mother's. How many jumps should the little kangaroo make to cover the distance equal to 7 jumps of its mother? <image1>	[]	images/17.jpg	21	null	2	arithmetic
18	A fifteen-meter log has to be sawn into three-meter pieces. How many cuts are needed for that? <image1>	[]	images/18.jpg	4	null	2	arithmetic
19	Eve has taken 2 bananas to school. At first she changed each of them into 4 apples, later on she exchanged each apple into 3 mandarins. How many mandarins has Eve got? <image1>	[ "$2+4+3$", "$2 \\cdot 4+3$", "$2+4 \\cdot 3$", "$2 \\cdot 4 \\cdot 3$", "$2+4-3$" ]	images/19.jpg	D	null	2	arithmetic
20	How many plums (see the picture) weigh as much as an apple? <image1>	[]	images/20.jpg	3	null	2	arithmetic
21	Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/21.jpg	E	null	1	combinatorial geometry
22	What time is it now, if after 6 hours and 30 minutes the clock will show 4:00? <image1>	[ "10:00", "10:30", "2:30", "22:10", "21:30" ]	images/22.jpg	E	null	2	arithmetic
23	Tom bought a chocolate heart (see the picture) to Mary on her birthday. <image1> How many grams did the chocolate weigh, if each square weighs 10 grams?	[]	images/23.jpg	140	null	1	combinatorial geometry
24	A trip of the pupils to the zoo took 135 minutes. <image1> How many hours and minutes does it make?	[ "3 h 5 min", "2 h 15 min", "1 h 35 min", "2 h 35 min", "3 h 35 min" ]	images/24.jpg	B	null	2	arithmetic
25	A wooden block has 8 vertices. One vertex is cut off now (see the picture). <image1> How many vertices has the block now?	[]	images/25.jpg	10	null	1	solid geometry
26	The ladybird would like to sit on his flower. The flower has five petals and the stem has three leaves. On which flower should the ladybird sit? <image1>	[ "A", "B", "C", "D", "E" ]	images/26.jpg	B	null	1	counting
27	Theresa moves a pencil along the line. She starts at the arrow shown. In which order will she go past the shapes? <image1>	[ "$\\Delta, \\square, \\bullet$", "$\\Delta, \\bullet, \\square$", "$\\bullet, \\Delta, \\square$", "$\\square, \\Delta, \\bullet$", "$\\square, \\bullet, \\Delta$" ]	images/27.jpg	A	null	5	topology
28	There are more grey squares than white. How many more? <image1>	[]	images/28.jpg	9	null	1	counting
29	A big square is made from 25 small squares put together. A few of the small squares have been lost. How many have been lost? <image1>	[]	images/29.jpg	10	null	1	counting
30	Put the animals in order of size. Begin with the smallest. Which animal will be in the middle? <image1>	[]	images/30.jpg	2	null	1	metric geometry - area
31	How many ducks weigh the same as a crocodile? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/31.jpg	B	null	2	arithmetic
32	The kangaroo is inside how many circles? <image1>	[]	images/32.jpg	3	null	1	counting
33	When the ant <image1> walks from home <image2> along the arrows $\rightarrow 3, \uparrow 3, \rightarrow 3, \uparrow 1$, he gets to the ladybird <image3>. Which animal does the ant <image1> get to when he walks from home <image2> along the following arrows: $\rightarrow 2, \downarrow 2, \rightarrow 3, \uparrow 3, \rightarrow 2, \uparrow 2$? <image6> <image7>	[ "A", "B", "C", "D", "E" ]	images/33.jpg	A	null	2	analytic geometry
34	Max has cut a rectangle into two pieces. One piece looks like: <image1> What does the other piece look like? <image2>	[ "A", "B", "C", "D", "E" ]	images/34.jpg	E	null	1	combinatorial geometry
35	Seven sticks lay on top of each other. Stick 2 lays right at the bottom. Stick 6 lays right on top. Which stick lays exactly in the middle? <image1>	[]	images/35.jpg	3	null	2	descriptive geometry
36	The rabbit family Hoppel eat cabbages and carrots. Each day they eat either 10 carrots or 2 cabbages. In the whole of last week they ate 6 cabbages. How many carrots did the rabbit family eat last week? <image1>	[]	images/36.jpg	40	null	2	arithmetic
37	A square is cut into four pieces. Which shape can you not make with these four pieces? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/37.jpg	D	null	1	combinatorial geometry
38	Each of the digits 2, 3, 4 and 5 will be placed in a square. Then there will be two numbers, which will be added together. What is the biggest number that they could make? <image1>	[]	images/38.jpg	95	null	2	arithmetic
39	Ingrid has 4 red, 3 blue, 2 green and 1 yellow cube. She uses them to build the following object: <image1> Cubes with the same colour don't touch each other. Which colour is the cube with the question mark?	[ "red", "blue", "green", "Yellow", "This cannot be worked out for certain." ]	images/39.jpg	A	null	3	logic
40	Which shape cannot be seen in every picture? <image1>	[ "A", "B", "C", "D", "E" ]	images/40.jpg	D	null	1	combinatorial geometry
41	How many triangles can you find in the picture? <image1>	[]	images/41.jpg	5	null	1	counting
42	Which part of the house is missing? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/42.jpg	E	null	1	combinatorial geometry
43	How many dots do all ladybirds have together? <image1>	[]	images/43.jpg	19	null	1	counting
44	Florian has 10 equally long metal strips with equally many holes. <image1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). <image2> Which of the long strips is the shortest?	[ "A", "B", "C", "D", "E" ]	images/44.jpg	B	null	1	counting
45	Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/45.jpg	E	null	2	transformation geometry
46	What do you see if you look at the tower, which is made up of two building blocks, exactly from above? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/46.jpg	A	null	2	descriptive geometry
47	How many numbers are outside the square? <image1>	[]	images/47.jpg	2	null	1	counting
48	Michael has two building blocks. Each building block is made up of two cubes glued together. Which figure can he not make using the blocks? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/48.jpg	B	null	1	combinatorial geometry
49	Every one of these six building blocks consists of 5 little cubes. The little cubes are either white or grey. Cubes of equal colour don't touch each other. How many little white cubes are there in total? <image1>	[]	images/49.jpg	12	null	1	solid geometry
50	Which piece is missing? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/50.jpg	A	null	2	transformation geometry
51	How many ropes can you see in this picture? <image1>	[]	images/51.jpg	3	null	5	topology
52	Which point in the labyrinth can we get to, starting at point $O$? <image1>	[ "A", "B", "C", "D", "E" ]	images/52.jpg	C	null	1	graph theory
53	Max has 10 dice. Which one of the following solids can he build with them? <image1>	[ "A", "B", "C", "D", "E" ]	images/53.jpg	A	null	1	combinatorial geometry
54	A hen lays white and brown eggs. Lisa takes six of them and puts them in a box as shown. The brown eggs are not allowed to touch each other. What is the maximum number of brown eggs Lisa can place in the box? <image1>	[]	images/54.jpg	3	null	1	combinatorics
55	Gerda walks along the road and writes down the letters she can see on her right hand side. Which word is formed while Gerda walks from point 1 to point 2? <image1>	[ "KNAO", "KNGO", "KNR", "AGRO", "KAO" ]	images/55.jpg	A	null	1	combinatorics
56	Konrad has some pieces of cardboard which all look like this: <image1> Which of the shapes below can he not make out of these pieces? <image2>	[ "A", "B", "C", "D", "E" ]	images/56.jpg	D	null	1	combinatorial geometry
57	Five sparrows are sitting on a rope (see picture). Some of them are looking to the left, some of them are looking to the right. Every sparrow whistles as many times as the number of sparrows he can see sitting in front of him. For example, the third sparrow whistles exactly twice. How often do all sparrows whistle altogether? <image1>	[]	images/57.jpg	10	null	2	arithmetic
58	<image1> In the picture above five ladybirds can be seen. Each one is sitting on a certain flower. A ladybird is only allowed to sit on a flower if the following conditions are met: 1) The difference between the number of points on each wing is equal to the number of leaves on the stem. 2) The number of points on the wings of the ladybird is equal to the number of petals on the flower. Which of the following flowers is without a ladybird? <image2>	[ "A", "B", "C", "D", "E" ]	images/58.jpg	E	null	3	logic
59	<image1> In the picture above we see a cube in two different positions. The six sides of the cube look like this: <image2> Which side is opposite to <image3>? <image4>	[]	images/59.jpg	C	null	1	solid geometry
60	Ellen wants to decorate the butterfly Which butterfly can she make? <image1> using these 6 stickers <image2> <image3>	[ "A", "B", "C", "D", "E" ]	images/60.jpg	A	null	1	combinatorial geometry
61	Into how many pieces will the string be cut? <image1>	[]	images/61.jpg	9	null	1	counting
62	How many blocks are missing in this igloo? <image1>	[]	images/62.jpg	10	null	1	counting
63	This picture shows a bracelet with pearls. <image1> Which of the bands below shows the same bracelet as above? <image2>	[ "A", "B", "C", "D", "E" ]	images/63.jpg	E	null	5	topology
64	Four of the numbers 1,3,4,5 and 7 are written into the boxes so that the calculation is correct. Which number was not used? <image1>	[]	images/64.jpg	4	null	2	arithmetic
65	Jim and Ben are sitting in a ferris wheel (see picture on the right). The ferris wheel is turning. Now Ben is in the position where Jim was beforehand. Where is Jim now? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/65.jpg	C	null	2	transformation geometry
66	Alfred turns his building block 10 times. The first three times can be seen in the picture. What is the final position of the building block? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/66.jpg	D	null	2	transformation geometry
67	In which picture are there half as many circles as triangles and twice as many squares as triangles? <image1>	[ "A", "B", "C", "D", "E" ]	images/67.jpg	E	null	1	counting
68	Old McDonald has a horse, two cows and three pigs. <image1> How many more cows does he need, so that exactly half of all his animals are cows?	[]	images/68.jpg	2	null	2	arithmetic
69	Lisa has several sheets of construction paper like this <image1> and <image2> She wants to make 7 identical crowns: <image3> For that she cuts out the necessary parts. What is the minimum number of sheets of construction paper that she has to cut up?	[]	images/69.jpg	9	null	2	arithmetic
70	Simon has two identical tiles, whose front look like this: The back is white. <image1> Which pattern can he make with those two tiles? <image2>	[ "A", "B", "C", "D", "E" ]	images/70.jpg	A	null	2	descriptive geometry
71	Each one of the four keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit. Same letters mean same digits. Which letters must be written on the fourth padlock? <image1>	[ "GDA", "ADG", "GAD", "GAG", "DAD" ]	images/71.jpg	D	null	3	logic
72	Alice draws lines between the beetles. She starts with the beetle with the fewest points. Then she continues drawing to the beetle with one more point. Which figure is formed? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/72.jpg	D	null	1	counting
73	The same amount of kangaroos should be in both parks. How many kangaroos have to be moved from the left park to the right park for that to happen? <image1>	[]	images/73.jpg	5	null	2	arithmetic
74	Which beetle has to fly away so that the remaining beetles have 20 dots altogether? <image1>	[ "Beetle with 4 points", "Beetle with 7 points", "Beetle with 5 points", "Beetle with 6 points", "no beetle" ]	images/74.jpg	B	null	2	arithmetic
75	Peter has drawn this pattern: <image1> He draws exactly the same pattern once more. Which point is on his drawing?	[ "A", "B", "C", "D", "E" ]	images/75.jpg	D	null	1	combinatorial geometry
76	Theodor has built this tower made up of discs. He looks at the tower from above. How many discs does he see? <image1>	[]	images/76.jpg	3	null	2	descriptive geometry
77	This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/77.jpg	D	null	1	combinatorial geometry
78	In order to get to his bone, the dog has to follow the black line. In total he turns 3-times to the right and 2-times to the left. Which path does he take? <image1>	[ "A", "B", "C", "D", "E" ]	images/78.jpg	E	null	1	counting
79	Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? <image1> <image2>	[ "A", "B", "C", "D", "C or D" ]	images/79.jpg	A	null	1	combinatorial geometry
80	Charles cuts a rope into 3 equally long pieces. Then he makes one knot in one of the pieces, 2 in the next and in the third piece 3 knots. Then he lays the three pieces down in a random order. Which picture does he see? <image1>	[ "A", "B", "C", "D", "E" ]	images/80.jpg	B	null	1	metric geometry - length
81	How many of the hands pictured show a right hand? <image1>	[]	images/81.jpg	5	null	1	counting
82	The number of spots on the fly agarics (toadstools) shows how many dwarfs fit under it. We can see one side of the fungi. The other side has the same amount of spots. When it rains 36 dwarfs are trying to hide under the fungi. How many dwarfs get wet? <image1>	[]	images/82.jpg	6	null	2	arithmetic
83	Susi makes this pattern using ice-lolly sticks. Each stick is $5 \mathrm{~cm}$ long and $1 \mathrm{~cm}$ wide. How long is Susi's pattern? <image1>	[ "$20 \\mathrm{~cm}$", "$21 \\mathrm{~cm}$", "$22 \\mathrm{~cm}$", "$23 \\mathrm{~cm}$", "$25 \\mathrm{~cm}$" ]	images/83.jpg	B	null	1	combinatorial geometry
84	The road from Anna's to Mary's house is $16 \mathrm{~km}$ long. The road from Mary's to John's house is $20 \mathrm{~km}$ long. The road from the crossing to Mary's house is $9 \mathrm{~km}$ long. How long is the road from Anna's to John's house? <image1>	[ "$7 \\mathrm{~km}$", "$9 \\mathrm{~km}$", "$11 \\mathrm{~km}$", "$16 \\mathrm{~km}$", "$18 \\mathrm{~km}$" ]	images/84.jpg	E	null	2	arithmetic
85	Which of these clouds contain only numbers that are smaller than 7 ? <image1>	[ "A", "B", "C", "D", "E" ]	images/85.jpg	D	null	2	arithmetic
86	Which of the 5 pictures shows a part of this chain? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/86.jpg	C	null	1	combinatorial geometry
87	Mother kangaroo and her son Max together weigh $60 \mathrm{~kg}$ (kilograms). The mother on her own weighs $52 \mathrm{~kg}$. How heavy is Max? <image1>	[ "$4 \\mathrm{~kg}$", "$8 \\mathrm{~kg}$", "$30 \\mathrm{~kg}$", "$56 \\mathrm{~kg}$", "$112 \\mathrm{~kg}$" ]	images/87.jpg	B	null	2	arithmetic
88	There are 12 children in front of a zoo. Susi is the 7th from the front and Kim the $2 \mathrm{nd}$ from the back. <image1> How many children are there between Susi and Kim?	[]	images/88.jpg	3	null	2	arithmetic
89	Jörg is sorting his socks. Two socks with the same number are one pair. <image1> How many pairs can he find?	[]	images/89.jpg	5	null	1	counting
90	Five equally big square pieces of card are placed on a table on top of each other. The picture on the side is created this way. The cards are collected up from top to bottom. In which order are they collected? <image1>	[ "5-4-3-2-1", "5-2-3-4-1", "5-4-2-3-1", "5-3-2-1-4", "5-2-3-1-4" ]	images/90.jpg	E	null	2	descriptive geometry
91	The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? <image1>	[ "$6 \\mathrm{~m}$", "$8 \\mathrm{~m}$", "$10 \\mathrm{~m}$", "$11 \\mathrm{~m}$", "$12 \\mathrm{~m}$" ]	images/91.jpg	E	null	1	combinatorial geometry
92	The picture shows a mouse and a piece of cheese. The mouse is only allowed to move to the neighbouring fields in the direction of the arrows. How many paths are there from the mouse to the cheese? <image1>	[]	images/92.jpg	6	null	1	combinatorics
93	Which of the figures can be cut into these 3 pieces? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/93.jpg	C	null	1	combinatorial geometry
94	The giants Tim and Tom build a sandcastle and decorate it with a flag. They insert half the flagpole into the highest point of the sandcastle. The highest point of the flagpole is now $16 \mathrm{~m}$ above the floor, the lowest $6 \mathrm{~m}$ (see diagram). How high is the sandcastle? <image1>	[ "$11 \\mathrm{~m}$", "$12 \\mathrm{~m}$", "$13 \\mathrm{~m}$", "$14 \\mathrm{~m}$", "$15 \\mathrm{~m}$" ]	images/94.jpg	A	null	1	metric geometry - length
95	There are white, grey and black squares. Three children use these to make this pattern. <image1> First Anni replaces all black squares with white squares. Then Bob replaces all grey squares with black squares. Finally Chris replaces all white squares with grey squares. Which picture have the three children now created? <image2>	[ "A", "B", "C", "D", "E" ]	images/95.jpg	A	null	1	combinatorial geometry
96	Each figure is made up of 4 equally big cubes and coloured in. Which figure needs the least amount of colour? <image1>	[ "A", "B", "C", "D", "E" ]	images/96.jpg	B	null	1	solid geometry
97	Four strips of paper are used to make a pattern (see picture). <image1> What do you see when you look at it from behind? <image2>	[ "A", "B", "C", "D", "E" ]	images/97.jpg	D	null	2	descriptive geometry
98	The kangaroo goes up three steps each time the rabbit goes down two steps. When the kangaroo is on step 9, on which step will the rabbit be? <image1>	[]	images/98.jpg	4	null	2	arithmetic
99	Julia has 5 pieces of plastic and has stacked these pieces on a table, as shown beside. What was the second piece she put on the table? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/99.jpg	C	null	2	descriptive geometry
100	Marco's father took a picture of his son in front of the car shown beside. Which of the drawings below could represent this picture? <image1> <image2>	[ "A", "B", "C", "D", "E" ]	images/100.jpg	E	null	2	descriptive geometry

End of preview. Expand in Dataset Viewer.

Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset

[Homepage] [ArXiv Paper] [Huggingface Dataset] [Github]

Data usage

from datasets import load_dataset

dataset = load_dataset("MathLLMs/MathVision")
print(dataset)

Introduction

Recent advancements in Large Multimodal Models (LMMs) have shown promising results in mathematical reasoning within visual contexts, with models approaching human-level performance on existing benchmarks such as MathVista. However, we observe significant limitations in the diversity of questions and breadth of subjects covered by these benchmarks. To address this issue, we present the MATH-Vision (MATH-V) dataset, a meticulously curated collection of 3,040 high-quality mathematical problems with visual contexts sourced from real math competitions. Spanning 16 distinct mathematical disciplines and graded across 5 levels of difficulty, our dataset provides a comprehensive and diverse set of challenges for evaluating the mathematical reasoning abilities of LMMs.

Levels, subjects and sources distribution of MATH-V.

Through extensive experimentation, we unveil a notable performance gap between current LMMs and human performance on MATH-V, underscoring the imperative for further advancements in LMMs.

The accuracies of four prominent Large Multimodal Models (LMMs), random chance, and human performance are evaluated on our proposed MATH-Vision (MATH-V) across 16 subjects. Human performance is assessed using the testmini subset.

Moreover, our detailed categorization allows for a thorough error analysis of LMMs, offering valuable insights to guide future research and development.

Error distribution of 232 GPT-4V wrong results on the testmini subset of MATH-V.

You can refer to the project homepage and the paper for more details.

Dataset Examples

Some examples of MATH-V on three subjects: analytic geometry, topology, and graph theory.

Analytic geometry

Topology

Graph Geometry

You can refer to the Appendix D.3 of the paper for example images of 16 subjects.

🏆 Leaderboard

Accuracy scores on the test set (3,040 examples):

#	Model	Method	Date	ALL	Alg	AnaG	Ari	CombG	Comb	Cnt	DescG	GrphT	Log	Angle	Area	Len	SolG	Stat	Topo	TransG
1	GPT-4V	LMM (Text+Image)	2024-02-22	22.76	27.3	32.1	35.7	21.1	16.7	13.4	22.1	14.4	16.8	22.0	22.2	20.9	23.8	24.1	21.7	25.6
2	Gemini Pro	LMM (Text+Image)	2024-02-22	17.66	15.1	10.7	20.7	20.1	11.9	7.5	20.2	21.1	16.8	19.1	19.0	20.0	14.3	13.8	17.4	20.8
3	Qwen-VL-Max	LMM (Text+Image)	2024-02-22	15.59	10.7	19.1	20.0	16.9	12.5	17.9	16.4	12.2	21.0	13.3	14.2	19.8	11.5	20.7	13.0	17.3
4	InternLM-XComposer2-VL	LMM (Text+Image)	2024-02-22	14.54	9.3	15.5	12.1	15.3	11.3	10.5	14.4	22.2	19.3	19.7	15.6	15.0	11.9	15.5	26.1	15.5
5	SPHINX-MoE	LMM (Text+Image)	2024-02-22	14.18	7.8	17.9	14.3	15.6	9.5	11.9	12.5	15.6	12.6	16.2	15.6	17.8	13.5	12.1	8.7	16.1
6	GPT-4-CoT	LLM (Text+Image Caption)	2024-02-22	13.10	16.5	20.2	34.3	10.4	17.9	19.4	7.7	11.1	10.1	9.8	9.6	9.1	13.5	13.8	8.7	12.5
7	ShareGPT4V-13B	LMM (Text+Image)	2024-02-22	11.88	7.5	15.5	16.4	10.7	8.9	9.0	11.5	8.9	7.6	11.6	13.0	17.4	10.3	8.6	8.7	12.5
8	LLaVA-v1.5-13B	LMM (Text+Image)	2024-02-22	11.12	7.0	14.3	14.3	9.1	6.6	6.0	13.5	5.6	13.5	10.4	12.6	14.7	11.5	13.8	13.0	10.7
9	Qwen-VL-Plus	LMM (Text+Image)	2024-02-22	10.72	11.3	17.9	14.3	12.7	4.8	10.5	15.4	8.9	14.3	11.6	6.4	10.0	14.3	6.9	8.7	11.31
10	ShareGPT4V-7B	LMM (Text+Image)	2024-02-22	10.53	5.5	3.6	12.9	10.1	4.8	7.5	11.5	14.4	10.9	16.2	11.8	12.3	9.8	15.5	17.4	11.3
11	ChatGPT-3.5-CoT	LLM (Text+Image Caption)	2024-02-22	9.74	10.7	20.0	18.6	10.1	7.7	17.9	16.4	10.0	13.5	6.4	5.8	6.5	9.4	12.1	4.4	10.7
12	SPHINX (V2)	LMM (Text+Image)	2024-02-22	9.70	6.7	7.1	12.9	7.5	7.7	6.0	9.6	16.7	10.1	11.0	11.8	12.5	8.2	8.6	8.7	6.0
13	LLaVA-v1.5-7B	LMM (Text+Image)	2024-02-22	8.52	7.0	7.1	10.7	7.1	4.8	10.5	7.7	10.0	9.2	15.6	10.2	9.8	5.3	8.6	4.4	4.8
14	GPT-4-CoT	LLM (Text)	2024-02-22	8.16	12.8	10.7	15.7	4.9	10.7	10.5	1.9	5.6	8.4	8.1	6.2	8.7	8.6	3.5	4.4	4.8
15	Random Chance	-	2024-02-22	7.17	1.5	11.9	7.1	9.7	4.8	6.0	22.1	1.1	7.6	0.6	9.4	6.7	8.2	8.6	13.0	7.1

Accuracy scores on the testmini subset (304 examples):

#	Model	Method	Date	ALL	Alg	AnaG	Ari	CombG	Comb	Cnt	DescG	GrphT	Log	Angle	Area	Len	SolG	Stat	Topo	TransG
-	Human	-	2024-02-22	75.66	57.9	79.0	100.0	100.0	47.4	94.7	89.5	63.2	63.2	36.8	52.6	73.7	89.5	89.5	100.0	73.7
1	GPT-4V	LMM (Text+Image)	2024-02-22	22.37	26.3	31.6	36.8	21.1	15.8	10.5	21.1	15.8	15.8	21.1	21.1	21.1	26.3	26.3	21.1	26.3
2	Gemini Pro	LMM (Text+Image)	2024-02-22	17.11	15.8	10.5	21.1	21.1	10.5	5.3	21.1	21.1	15.8	21.1	21.1	21.1	15.8	15.8	15.8	21.1
3	Qwen-VL-Max	LMM (Text+Image)	2024-02-22	16.1	10.5	21.1	21.1	15.8	15.8	15.8	15.8	21.1	10.5	15.8	10.5	21.1	15.8	15.8	10.5	15.8
4	InternLM-XComposer2-VL	LMM (Text+Image)	2024-02-22	15.79	10.5	15.8	10.5	15.8	10.5	10.5	15.8	21.1	21.1	21.1	15.8	15.8	10.5	15.8	26.3	15.8
5	SPHINX-MoE	LMM (Text+Image)	2024-02-22	13.49	10.5	15.8	15.8	15.8	10.5	10.5	10.5	15.8	10.5	15.8	15.8	10.5	10.5	15.8	15.8	15.8
6	ShareGPT4V-13B	LMM (Text+Image)	2024-02-22	13.49	15.8	21.1	10.5	5.3	15.8	10.5	15.8	10.5	15.8	36.8	21.1	5.3	10.5	5.3	10.5	5.3
7	LLaVA-v1.5-13B	LMM (Text+Image)	2024-02-22	13.10	10.4	5.3	15.8	5.3	10.5	10.5	26.3	5.3	15.8	31.6	10.5	15.8	15.8	10.5	15.8	10.5
8	GPT-4-CoT	LLM (Text+Image Caption)	2024-02-22	12.50	15.8	10.5	31.6	5.3	15.8	31.6	10.5	15.8	15.8	0.0	5.3	5.3	0.0	21.1	10.5	5.3
9	ShareGPT4V-7B	LMM (Text+Image)	2024-02-22	12.50	5.3	0.0	10.5	21.1	5.3	5.3	26.3	15.8	15.8	15.8	10.5	21.1	15.8	15.8	10.5	5.3
10	Qwen-VL-Plus	LMM (Text+Image)	2024-02-22	10.53	26.3	10.5	10.5	15.8	10.5	21.1	5.3	10.5	10.5	10.5	5.3	5.3	0.0	0.0	0.0	0.0
11	ChatGPT-3.5-CoT	LLM (Text+Image Caption)	2024-02-22	10.20	10.5	26.3	5.3	0.0	10.5	21.1	15.8	10.5	0.0	10.5	0.0	5.3	21.1	5.3	10.5	5.3
12	LLaVA-v1.5-7B	LMM (Text+Image)	2024-02-22	10.20	0.0	10.5	15.8	5.3	5.3	15.8	10.5	10.5	15.8	21.1	15.8	15.8	5.3	10.5	0.0	5.3
13	Random Chance	-	2024-02-22	9.87	0.0	15.8	10.5	15.7	0.0	0.0	36.84	0.0	15.8	0.0	10.5	21.1	5.3	10.5	15.8	0.0
14	SPHINX (V2)	LMM (Text+Image)	2024-02-22	9.21	5.3	10.5	10.5	0.0	21.1	10.5	10.5	15.8	10.5	15.8	5.3	10.5	0.0	5.3	5.3	10.5
15	GPT-4-CoT	LLM (Text)	2024-02-22	6.58	5.3	10.5	15.8	0.0	21.1	10.5	5.3	0.0	5.3	10.5	5.3	0.0	5.3	5.3	5.3	0.0

Note: Subjects: Alg: algebra, AnaG: analytic geometry, Ari: arithmetic, CombG: combinatorial geometry, Comb: combinatorics, Cnt: counting, DescG: descriptive geometry, GrphT: graph theory, Log: logic, Angle: metric geometry - angle, Area: metric geometry - area, Len: metric geometry-length, SolG: solid geometry, Stat: statistics, Topo: topology, TransG: transformation geometry.

ChatGPT-3.5: the gpt-3.5-turbo-0125 engine. GPT-4: the gpt-4-0125-preview engine. GPT-4V: the gpt-4-1106-vision-preview engine. Human: the average score of 30 college or master students recruited.

Citation

If you find this benchmark useful in your research, please consider citing this BibTex:

@misc{wang2024measuring,
      title={Measuring Multimodal Mathematical Reasoning with MATH-Vision Dataset}, 
      author={Ke Wang and Junting Pan and Weikang Shi and Zimu Lu and Mingjie Zhan and Hongsheng Li},
      year={2024},
      eprint={2402.14804},
      archivePrefix={arXiv},
      primaryClass={cs.CV}
}

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