id stringlengths 4 8 | image_url stringlengths 77 81 | query stringlengths 7 1.32k | answer stringlengths 1 148 | choice stringlengths 4 597 | question_type stringclasses 2
values |
|---|---|---|---|---|---|
geo9 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/9.png | Find y. Round to the nearest tenth, if necessary. | 4 | NULL | free_form |
geo10 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/10.png | Find the perimeter of A B C D. | 24 + 4 \sqrt { 2 } + 4 \sqrt { 3 } | NULL | free_form |
geo11 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/11.png | Express the ratio of \cos A as a decimal to the nearest hundredth. | 0.92 | NULL | free_form |
geo12 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/12.png | If the perimeter of square 2 is 200 units and the perimeter of square 1 is 150 units, what is the perimeter of square 3? | 250 | NULL | free_form |
geo13 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/13.png | In rhombus L M P Q, m \angle Q L M = 2 x^ { 2 } - 10, m \angle Q P M = 8 x, and M P = 10. Find m \angle L Q P. | 140 | NULL | free_form |
geo14 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/14.png | Find the length of \widehat A B. Round to the nearest hundredth. | 16.76 | NULL | free_form |
geo15 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/15.png | Find y. | 3 | NULL | free_form |
geo16 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/16.png | If R Q \cong R S, R P \cong R T and m \angle R Q S = 80, find m \angle P. | 80 | NULL | free_form |
geo17 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/17.png | The common chord A B between \odot P and \odot Q is perpendicular to the segment connecting the centers of the circles. If A B = 10 what is the length of P Q? | 4 \sqrt 6 + 2 \sqrt { 14 } | NULL | free_form |
geo18 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/18.png | Find the perimeter of quadrilateral A B C D to the nearest tenth. | 56.9 | NULL | free_form |
geo19 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/19.png | Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent. | 3.2 | NULL | free_form |
geo20 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/20.png | Find x if \triangle Q R S is an equilateral triangle. | 0.5 | NULL | free_form |
geo21 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/21.png | Find x. Assume that any segment that appears to be tangent is tangent. | 30 | NULL | free_form |
geo22 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/22.png | Find x. | \frac { 40 } { 3 } | NULL | free_form |
geo23 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/23.png | Find m \angle R. | 62 | NULL | free_form |
geo24 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/24.png | Use parallelogram to, find y. | 101 | NULL | free_form |
geo25 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/25.png | Find the area of the figure. Round to the nearest tenth if necessary. | 6 | NULL | free_form |
geo26 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/26.png | Find m \angle R C N. | 103 | NULL | free_form |
geo27 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/27.png | Find x. | 3.6 | NULL | free_form |
geo28 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/28.png | Find m \angle A. | 105 | NULL | free_form |
geo29 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/29.png | In the figure, \triangle A B C is isosceles, \triangle D C E is equilateral, and \triangle F C G is isosceles. Find the measure of the \angle 1 at vertex C. | 18 | NULL | free_form |
geo30 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/30.png | Find y. | 3 \sqrt { 13 } | NULL | free_form |
geo31 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/31.png | If J A = 25, A K = 10, and B L = 14, find J B. | 35 | NULL | free_form |
geo32 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/32.png | In \odot P, P R = 15 and m \angle Q P R = 120. Find the length of \widehat Q R. | 10 \pi | NULL | free_form |
geo33 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/33.png | find \tan S. | 0.75 | NULL | free_form |
geo34 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/34.png | Find y. | 18 | NULL | free_form |
geo35 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/35.png | Find the measure of the altitude drawn to the hypotenuse. | 3 \sqrt { 5 } | NULL | free_form |
geo36 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/36.png | If B E F A \sim E D C B, find x. | 4 | NULL | free_form |
geo37 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/37.png | Find x. | 13.6 | NULL | free_form |
geo38 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/38.png | Find the measure of \angle 4 if m \angle D G F = 53 and m \angle A G C = 40. | 40 | NULL | free_form |
geo39 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/39.png | Find D H. | 20 | NULL | free_form |
geo40 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/40.png | Q is the incenter of \triangle J K L. Find Q P. | 15 | NULL | free_form |
geo41 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/41.png | Find x. | \sqrt { 218 } | NULL | free_form |
geo42 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/42.png | In \odot P, J K = 10 and \widehat J K L = 134. Find P Q. Round to the nearest hundredth. | 3.32 | NULL | free_form |
geo43 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/43.png | Find W Y. | 3 | NULL | free_form |
geo44 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/44.png | Find y. | 3 | NULL | free_form |
geo45 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/45.png | Find z. | 20 | NULL | free_form |
geo46 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/46.png | Find y. Round to the nearest tenth. | 33.4 | NULL | free_form |
geo47 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/47.png | Find x. | 42 | NULL | free_form |
geo48 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/48.png | W X Y Z is a rhombus. If m \angle X Y Z = 110, find m \angle Z W Y. | 55 | NULL | free_form |
geo49 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/49.png | U J = 9, V J = 3, and Z T = 18. Find Y U. | 13.5 | NULL | free_form |
geo50 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/50.png | Use parallelogram to find x. | 58 | NULL | free_form |
geo51 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/51.png | Find the perimeter of the triangle. Round to the nearest hundredth. | 13.84 | NULL | free_form |
geo52 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/52.png | Polygon A B C D \sim polygon A E F G, m \angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find the ratio of the perimeter of polygon A B C D to the perimeter of polygon A E F G. | 1.6 | NULL | free_form |
geo53 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/53.png | Find m \widehat G H. | 140 | NULL | free_form |
geo54 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/54.png | Find x. | 16.8 | NULL | free_form |
geo55 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/55.png | Find x so that m \parallel n. | 11.375 | NULL | free_form |
geo56 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/56.png | What is m \angle 1 in the figure below? | 85 | NULL | free_form |
geo57 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/57.png | Find the measure of \angle Q. | 106 | NULL | free_form |
geo58 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/58.png | The pair of polygons is similar. Find A G. | 13.5 | NULL | free_form |
geo59 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/59.png | Find the length of \widehat B C. | 2.20 | NULL | free_form |
geo60 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/60.png | In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat F A B. | 180 | NULL | free_form |
geo61 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/61.png | Find z. | 32 | NULL | free_form |
geo62 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/62.png | Find x so that the quadrilateral is a parallelogram. | 41 | NULL | free_form |
geo63 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/63.png | Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth. | 26.6 | NULL | free_form |
geo64 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/64.png | Find h. | \frac { 21 \sqrt 2 } { 2 } | NULL | free_form |
geo65 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/65.png | Find x in the figure. | 3 | NULL | free_form |
geo66 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/66.png | Find y. | 7 \sqrt { 3 } | NULL | free_form |
geo67 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/67.png | If A B = 8, K L = 10, and J B = 13, find J L. | 16.25 | NULL | free_form |
geo68 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/68.png | Find m \angle 8. | 65 | NULL | free_form |
geo69 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/69.png | Find m \angle 1. | 61 | NULL | free_form |
geo70 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/70.png | In \odot P, P Q = 3, find m \widehat R T S. Round to the nearest hundredth. | 12.04 | NULL | free_form |
geo71 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/71.png | R S is the midsegment of trapezoid M N O P. What is the length of R S? | 26 | NULL | free_form |
geo72 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/72.png | Find m \angle 2. | 37.5 | NULL | free_form |
geo73 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/73.png | Find the area of the figure. Round to the nearest tenth if necessary. | 21 | NULL | free_form |
geo74 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/74.png | Find m \angle 4. | 56 | NULL | free_form |
geo75 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/75.png | Find x. | 17.5 | NULL | free_form |
geo76 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/76.png | Find x so that the quadrilateral is a parallelogram. | 1 | NULL | free_form |
geo77 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/77.png | Find x. Round to the nearest tenth. | 6.2 | NULL | free_form |
geo78 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/78.png | Find x. | 4.5 | NULL | free_form |
geo79 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/79.png | Find y so that the quadrilateral is a parallelogram. | 8 | NULL | free_form |
geo80 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/80.png | Find G K if G I = 14, G H = 7, and K J = 6. | 6 | NULL | free_form |
geo81 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/81.png | Trapezoid P Q R S has an area of 250 square inches. Find the height of P Q R S. | A | ['10', '15', '20', '25'] | multi_choice |
geo82 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/82.png | T V is tangent to the circle, and R and S are points on the circle. What is the value of x to the nearest tenth? | B | ['4.8', '5.7', '6.4', '7.6'] | multi_choice |
geo83 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/83.png | Q R S T is a rectangle. If m \angle Q T R = 2 x^ { 2 } - 7 and m \angle S R T = x^ { 2 } + 18, find m \angle Q T R. | B | ['27', '43', '47', '63'] | multi_choice |
geo84 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/84.png | \triangle W X Y and \triangle X Y Z are isosceles and m \angle X Y Z = 128. Find the measure of \angle X W Y. | D | ['38', '42', '46', '52'] | multi_choice |
geo85 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/85.png | Find the measure of \angle Z to the nearest tenth. | B | ['35.5', '44.4', '45.6', '54.5'] | multi_choice |
geo86 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/86.png | For the pair of similar figures, use the given areas to find x. | C | ['10.7', '16', '36', '54'] | multi_choice |
geo87 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/87.png | A B C D is a rectangle. If m \angle 1 = 12 x + 4 and m \angle 2 = 16 x - 12, find m \angle 2. | C | ['4', '26', '52', '64'] | multi_choice |
geo88 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/88.png | Find y. | A | ['\\frac { 17 } { 2 }', '\\frac { 17 } { 2 } \\sqrt { 2 }', '\\frac { 17 } { 2 } \\sqrt { 3 }', '17'] | multi_choice |
geo89 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/89.png | a = 8, b = 15, and c = 17, find \sin B. | D | ['0.12', '0.22', '0.48', '0.88'] | multi_choice |
geo90 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/90.png | Which polynomial best represents the area of the regular pentagon shown below? | D | ['10 y^2 + 5 y', '10 y^2 - 5', '20 y^2 + 10', '20 y^2 - 10 y'] | multi_choice |
geo91 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/91.png | Find x. | D | ['17.7', '27.9', '35.6', '38.1'] | multi_choice |
geo92 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/92.png | Find the area of the figure. Round to the nearest tenth if necessary. | D | ['484', '704', '804', '814'] | multi_choice |
geo93 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/93.png | Find the perimeter of the parallelogram. Round to the nearest tenth if necessary. | C | ['88', '92', '96', '100'] | multi_choice |
geo94 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/94.png | Find the area of the regular polygon. Round to the nearest tenth. | C | ['9.2', '27.7', '55.4', '110.9'] | multi_choice |
geo95 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/95.png | Find z. | D | ['8', '8 \\sqrt { 3 }', '16', '8 \\sqrt { 5 }'] | multi_choice |
geo96 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/96.png | Find z. | B | ['8', '10 \\sqrt { 2 }', '25', '200'] | multi_choice |
geo97 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/97.png | Find x. | A | ['26', '28', '30', '32'] | multi_choice |
geo98 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/98.png | Which statement about the value of x is not true? | C | ['x + 80 = 140', 'x < 140', 'x < 60', 'x = 60'] | multi_choice |
geo99 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/99.png | Find x in the given parallelogram. | C | ['2', '10', '31', '149'] | multi_choice |
geo100 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/100.png | Find x. A = 165 cm^2. | D | ['6.3', '8.1', '10.6', '11'] | multi_choice |
geo101 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/101.png | If A B = 32 and F C = 11, find F E. | C | ['\\sqrt { 104 }', '11', '\\sqrt { 135 }', '32'] | multi_choice |
geo102 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/102.png | Find the area of the shaded region. Round to the nearest tenth. | A | ['69.5', '139.0', '254.5', '324.0'] | multi_choice |
geo103 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/103.png | In \odot F, m \angle D F A = 50 and C F \perp F B. Find m \widehat B E. | A | ['50', '60', '120', '130'] | multi_choice |
geo104 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/104.png | In \odot P, R T = 15, find the length of \widehat R S. Round to the nearest hundredth. | B | ['14.66', '17.02', '29.32', '34.03'] | multi_choice |
geo105 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/105.png | Find m \angle A. | A | ['81', '89', '91', '99'] | multi_choice |
geo106 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/106.png | Find x. | B | ['3', '4', '5', '8'] | multi_choice |
geo107 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/107.png | Find m \angle 3. | C | ['22', '43', '65', '73'] | multi_choice |
geo108 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/108.png | Find x. Round to the nearest tenth if necessary. | C | ['1.6', '20', '28.1', '31'] | multi_choice |
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