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|---|---|---|---|---|---|---|---|---|---|---|
201 | what is the trapezoidal approximation of the integral of f(x) from 1 to 5? | image/image201.png | 264.0 | float | arithmetic | undergraduate | 201 | 201 | 1 | |
202 | what is the Simpson's approximation of the integral of f(x) from 1 to 4? | image/image202.png | 154.0 | float | arithmetic | undergraduate | 202 | 202 | 1 | |
203 | Which of the following descriptions is correct for approximating the integral of f(x) from a to b? choices: (A) trapezoidal sum underapproximation (B) left Riemann sum underapproximation (C) left Riemann sum overapproximation (D) Neither | image/image203.png | B | multiple choice | analytic geometry | undergraduate | 203 | 203 | 1 | |
204 | Which of the following descriptions is correct for approximating the integral of f(x) from a to b? choices: (A) trapezoidal sum underapproximation and left Riemann sum underapproximation (B) trapezoidal sum underapproximation and left Riemann sum overapproximation (C) trapezoidal sum overapproximation and left Rieman... | image/image204.png | A | multiple choice | analytic geometry | high school | 204 | 204 | 1 | |
205 | The two semicircles are in the figure above. What is the total length of the darkened curve? | image/image205.png | 35.9911 | float | plane geometry | high school | 205 | 205 | 1 | |
206 | What is the measure of ∠C? Answer the question in degrees. | image/image206.png | 22.0154 | float | plane geometry | high school | 206 | 206 | 1 | |
207 | What is the measure of ∠B? Answer the question in degrees. | image/image207.png | 32.7034 | float | plane geometry | high school | 207 | 207 | 1 | |
208 | Are three lines in figure the same length? choices: (A) Yes (B) No | image/image208.png | A | multiple choice | plane geometry | high school | 208 | 208 | 1 | |
209 | Is the distance between the two orange lines as long as the distance between the two purple lines? choices: (A) Yes (B) No | image/image209.png | A | multiple choice | plane geometry | high school | 209 | 209 | 1 | |
210 | Are the red line and the blue line the same length? choices: (A) Yes (B) No | image/image210.png | A | multiple choice | plane geometry | high school | 210 | 210 | 1 | |
211 | The curve BD is parallel to the curve AC, and AB=CD=EF=GH. Are the areas of enclosed graph ABCD and EFGH the same? choice: (A) Yes (B) No | image/image211.png | A | multiple choice | plane geometry | high school | 211 | 211 | 1 | |
212 | The curve BD is parallel to the curve AC, AB=CD=EF=GH=9, and EG = FH = 45. What is the area of enclosed graph ABCD? | image/image212.png | 405 | float | plane geometry | high school | 212 | 212 | 1 | |
213 | Find the number of integer solutions of x^2 + y^2 <= 16 | image/image213.png | 49 | float | algebra | undergraduate | 213 | 213 | 1 | |
214 | Four identical azure right triangles form a square. Given that two sides of the azure triangle are 30,130, find the area of the white square. | image/image214.png | 17800 | float | plane geometry | high school | 214 | 214 | 1 | |
215 | Four identical pink right triangles form a big square. Given that the area of a pink triangle is 30.0, and the area of white square is 136, find the area of the big square. | image/image215.png | 256.0 | float | plane geometry | high school | 215 | 215 | 1 | |
216 | Does the domain of this function cover R? choice: (A) Yes (B) No | image/image216.png | B | multiple choice | analytic geometry | high school | 216 | 216 | 1 | |
217 | The joint distribution of S and P is given by the following table. Compute E[P], the expectation of P. | image/image217.png | 1.91 | float | statistics | undergraduate | 217 | 217 | 1 | |
218 | The joint distribution of S and P is given by the following table. Compute P[S=P] | image/image218.png | 0.29 | float | statistics | undergraduate | 218 | 218 | 1 | |
219 | The joint distribution of S and P is given by the following table. Compute P[S>=P] | image/image219.png | 0.44 | float | statistics | undergraduate | 219 | 219 | 1 | |
220 | Is the following graph a complete graph? choice: (A) Yes (B) No | image/image220.png | B | multiple choice | graph theory | undergraduate | 220 | 220 | 1 | |
221 | Is the following graph a planar graph? choice: (A) Yes (B) No | image/image221.png | A | multiple choice | graph theory | undergraduate | 221 | 221 | 1 | |
222 | What is the maximum number of edges to remove so that the following graph is still connected? | image/image222.png | 1 | float | graph theory | undergraduate | 222 | 222 | 1 | |
223 | How many edges should be added to this graph so that it is complete? | image/image223.png | 6 | float | graph theory | undergraduate | 223 | 223 | 1 | |
224 | Is the following graph a planar graph? choice: (A) Yes (B) No | image/image224.png | A | multiple choice | graph theory | undergraduate | 224 | 224 | 1 | |
225 | What is the maximum number of edges to remove so that the following graph is still connected? | image/image225.png | 0 | float | graph theory | undergraduate | 225 | 225 | 1 | |
226 | Is the following graph containing a Euler circuit? choice: (A) Yes (B) No | image/image226.png | B | multiple choice | graph theory | undergraduate | 226 | 226 | 1 | |
227 | Is the following graph containing a Hamiltonian circuit? choice: (A) Yes (B) No | image/image227.png | B | multiple choice | graph theory | undergraduate | 227 | 227 | 1 | |
228 | Is the following graph containing a Euler circuit? choice: (A) Yes (B) No | image/image228.png | B | multiple choice | graph theory | undergraduate | 228 | 228 | 1 | |
229 | Is the following graph containing a Hamiltonian circuit? choice: (A) Yes (B) No | image/image229.png | A | multiple choice | graph theory | undergraduate | 229 | 229 | 1 | |
230 | Is the following graph containing a Euler circuit? choice: (A) Yes (B) No | image/image230.png | B | multiple choice | graph theory | undergraduate | 230 | 230 | 1 | |
231 | How many components does the following graph have? | image/image231.png | 4 | float | graph theory | undergraduate | 231 | 231 | 1 | |
232 | How many components does the following graph have? | image/image232.png | 1 | float | graph theory | undergraduate | 232 | 232 | 1 | |
233 | Find the chromatic index of the following graph. | image/image233.png | 5 | float | graph theory | undergraduate | 233 | 233 | 1 | |
234 | Find the chromatic index of the following graph. | image/image234.png | 2 | float | graph theory | undergraduate | 234 | 234 | 1 | |
235 | Find the chromatic index of the following graph. | image/image235.png | 3 | float | graph theory | undergraduate | 235 | 235 | 1 | |
236 | Find the chromatic number of the following graph. | image/image236.png | 3 | float | graph theory | undergraduate | 236 | 236 | 1 | |
237 | Find the chromatic number of the following graph. | image/image237.png | 3 | float | graph theory | undergraduate | 237 | 237 | 1 | |
238 | Find the chromatic number of the following graph. | image/image238.png | 2 | float | graph theory | undergraduate | 238 | 238 | 1 | |
239 | The root of the balanced tree is at the center of the image. What is the height of the following tree? | image/image239.png | 2 | float | graph theory | undergraduate | 239 | 239 | 1 | |
240 | Count the number of faces of the following graph. | image/image240.png | 1 | float | graph theory | undergraduate | 240 | 240 | 1 | |
241 | Which node will be visited first if using pre-order DFS on the following tree graph? | image/image241.png | D | text | graph theory | undergraduate | 241 | 241 | 1 | |
242 | Which node will be visited first if using inorder DFS on the following tree graph? | image/image242.png | C | text | graph theory | undergraduate | 242 | 242 | 1 | |
243 | Which node will be secondly visited if using post-order DFS on the following tree graph? | image/image243.png | E | text | graph theory | undergraduate | 243 | 243 | 1 | |
244 | If we want to add a node with value 5 to this binary tree, under which node should it be added? choice: (A) 6 (B) 19 (C) 44 (D) 72 | image/image244.png | A | multiple choice | graph theory | undergraduate | 244 | 244 | 1 | |
245 | Which data structure is the following graph shown? (A) heap (B) stack (C) binary tree (D) planted tree | image/image245.png | C | multiple choice | graph theory | undergraduate | 245 | 245 | 1 | |
246 | Insert 6 keys 60, 10, 53, 28, 42, 66 into an initially empty binary search tree. Suppose that the structure of the resulting tree is given in the figure. What is the possible value of the root? | image/image246.png | 53 | float | graph theory | undergraduate | 246 | 246 | 1 | |
247 | How many nodes are in this empty graph? | image/image247.png | 35 | float | graph theory | undergraduate | 247 | 247 | 1 | |
248 | How many pink nodes are in this empty graph? | image/image248.png | 5 | float | graph theory | undergraduate | 248 | 248 | 1 | |
249 | Find the difference between the number of blue nodes and red nodes. | image/image249.png | 1 | float | graph theory | undergraduate | 249 | 249 | 1 | |
250 | What color has the largest number of nodes? choice: (A) blue (B) pink (C) green (D) orange | image/image250.png | D | multiple choice | graph theory | undergraduate | 250 | 250 | 1 | |
251 | Is the following directed graph strongly connected? choice: (A) Yes (B) No | image/image251.png | B | multiple choice | graph theory | undergraduate | 251 | 251 | 1 | |
252 | Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No | image/image252.png | B | multiple choice | graph theory | undergraduate | 252 | 252 | 1 | |
253 | Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No | image/image253.png | B | multiple choice | graph theory | undergraduate | 253 | 253 | 1 | |
254 | Is the left graph isomorphic with the right graph? choice: (A) Yes (B) No | image/image254.png | B | multiple choice | graph theory | undergraduate | 254 | 254 | 1 | |
255 | The tree shown in image reserves an expression. Calculate this expression and output the result. | image/image255.png | 895 | float | graph theory | undergraduate | 255 | 255 | 1 | |
256 | Find the longest path length in the following directed acyclic graph. | image/image256.png | 327 | float | graph theory | undergraduate | 256 | 256 | 1 | |
257 | Find the shortest path length in the following directed acyclic graph. | image/image257.png | 89 | float | graph theory | undergraduate | 257 | 257 | 1 | |
258 | Give the Prüfer code of the following graph. Please answer in the format like '[1, 2, 3, 4, 5]' | image/image258.png | [3, 2, 3, 3, 6] | text | graph theory | undergraduate | 258 | 258 | 1 | |
259 | The tree shown in image reserves an expression. Calculate this expression and output the result. | image/image259.png | 462978 | float | graph theory | undergraduate | 259 | 259 | 1 | |
260 | Is the following directed graph a tournament? choice: (A) Yes (B) No | image/image260.png | B | multiple choice | graph theory | undergraduate | 260 | 260 | 1 | |
261 | An object is placed near a plane mirror, as shown above. Which of the labeled points is the position of the image? choice: (A) point A (B) point B (C) point C | image/image261.png | C | multiple choice | scientific figure | high school | 261 | 261 | 1 | |
262 | An object is placed near a plane mirror, as shown above. Which of the labeled points is the position of the image? choice: (A) point A (B) point B (C) point C | image/image262.png | A | multiple choice | scientific figure | high school | 262 | 262 | 1 | |
263 | An inverse expression is placed near a mirror. The mirror shows its original appearance, but due to the ink dot on the mirror, part of the formula is obscured. Find the value of '?' in this expression. | image/image263.png | 132 | float | scientific figure | high school | 263 | 263 | 1 | |
264 | An object is located a distance from a thin converging lens of focal length f as shown in the diagram below. The distance of the image v from the lens will be ____. choice: (A) f<v<2f (B) v=2f (C) v>2f (D) 0 (No image) | image/image264.png | D | multiple choice | scientific figure | high school | 264 | 264 | 1 | |
265 | An object is located a distance 66.0 from a thin converging lens of focal length 32 as shown in the diagram below. Find the distance of the image from the lens. | image/image265.png | 62.1176 | float | scientific figure | high school | 265 | 265 | 1 | |
266 | The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. At which time the car change the direction to drive? | image/image266.png | 3 | float | scientific figure | high school | 266 | 266 | 1 | |
267 | The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at the origin x = 0 and the positive velocity represents moving forward. The position of car at t=10s is ____. choice: (A) in front of the start (B) behin... | image/image267.png | B | multiple choice | scientific figure | high school | 267 | 267 | 1 | |
268 | The motion of a car in a straight line is shown in the graph below. After 10 seconds, how far is the car from the starting point? | image/image268.png | 36.0 | float | scientific figure | high school | 268 | 268 | 1 | |
269 | Starting from rest at time t = 0, a car moves in a straight line with an acceleration given by the accompanying graph. What is the speed of the car at t = 10s ? | image/image269.png | 40.0 | float | scientific figure | high school | 269 | 269 | 1 | |
270 | A block of mass 1 kg, initially at rest, is pulled along a frictionless, horizontal surface with a force shown as a function of time t by the graph above. What is the acceleration of the block at t = 7s ? | image/image270.png | 4.0 | float | scientific figure | high school | 270 | 270 | 1 | |
271 | The 3.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 55.5 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.78. The box is moving with:____. choice: (A) acceleration to the left (B) acceleration to the right... | image/image271.png | B | multiple choice | scientific figure | high school | 271 | 271 | 1 | |
272 | What is the x-component of this vector? | image/image272.png | 2 | float | scientific figure | high school | 272 | 272 | 1 | |
273 | What is the y-component of this vector? | image/image273.png | -3 | float | scientific figure | high school | 273 | 273 | 1 | |
274 | The graph shows smoothed force-versus-time data for a collision. Find the impulse delivered by the force. | image/image274.png | 60 | float | scientific figure | high school | 274 | 274 | 1 | |
275 | Ball 1 and ball 2 follow the paths shown, where the darkblue path is Ball 1 and the green path is Ball 2. Which ball is in the air for a longer time? Assume that you can ignore air resistance for this problem. choice: (A) Ball 1 (B) Ball 2 (C) The amount time of balls in air is same | image/image275.png | B | multiple choice | scientific figure | high school | 275 | 275 | 1 | |
276 | refer to the following diagram that shows part of a closed electrical circuit. What is the electrical resistance of the part of the circuit shown between point X and point Y? | image/image276.png | 35.435 | float | scientific figure | high school | 276 | 276 | 1 | |
277 | refer to the following diagram that shows a closed electrical circuit. What is the electric current of the circuit? | image/image277.png | 0.8386 | float | scientific figure | high school | 277 | 277 | 1 | |
278 | Find the potential difference Uab between points a and b. | image/image278.png | 13.2619 | float | scientific figure | undergraduate | 278 | 278 | 1 | |
279 | Two planets travel in an elliptical orbit about the sun as shown. Which planet have greater orbital speed? choice: (A) Blue planet (B) Orange planet (C) Both two planet have the same speed | image/image279.png | B | multiple choice | scientific figure | high school | 279 | 279 | 1 | |
280 | Two planets travel in an elliptical orbit about the sun as shown. Which planet have greater acceleration? choice: (A) Brown planet (B) Pink planet (C) Both two planet have the same acceleration | image/image280.png | A | multiple choice | scientific figure | high school | 280 | 280 | 1 | |
281 | In the figure below, the area of square ABCD is equal to the sum of the area of triangles ABE and DCE. If AB = 60, then CE = ___ | image/image281.png | 30.0 | float | plane geometry | high school | 281 | 281 | 1 | |
282 | Fill in the white spaces to make the equations work. choice: (A) 28, 1, 0, and 37 (B) 1, 0, 27, and 37 (C) 38, -1, 1, 28 | image/image282.png | A | multiple choice | puzzle test | high school | 282 | 282 | 1 | |
283 | Fill in the white space to make it like a 5x5 sudoku. | image/image283.png | 4 | float | puzzle test | elementary school | 283 | 283 | 1 | |
284 | Find the missing value. | image/image284.png | 58 | float | puzzle test | elementary school | 284 | 284 | 1 | |
285 | Find the missing number. | image/image285.png | 529 | float | puzzle test | elementary school | 285 | 285 | 1 | |
286 | Find the missing numbers so that the sum of numbers on the each side equal to the number in the center. The answer should be in the order of the missing number on the left side, the missing number on the bottom side, and the missing number on the right side, following the format like '1, 2, 3' | image/image286.png | 69, 51, 59 | text | puzzle test | elementary school | 286 | 286 | 1 | |
287 | What type of transformation of the left letter was applied to become the right letter? choice: (A) reduction (B) rotation (C) enlargement | image/image287.png | B | multiple choice | plane geometry | elementary school | 287 | 287 | 1 | |
288 | The diagram shows weights of students. How many students are at least 40 kilograms weight but less than 70 kilograms weight? | image/image288.png | 9 | float | statistics | high school | 288 | 288 | 1 | |
289 | The diagram shows Exam score of students. What is the average score of this exam? | image/image289.png | 63.75 | float | statistics | high school | 289 | 289 | 1 | |
290 | The diagram shows height of buildings in town. How many buildings are exactly 70 meters? | image/image290.png | 0 | float | statistics | high school | 290 | 290 | 1 | |
291 | The diagram shows Exam score of students. What is the student No. of the student who get the highest score? | image/image291.png | 5 | float | statistics | high school | 291 | 291 | 1 | |
292 | The diagram shows weights of students. How many students are at least 40 kilograms weight but less than 70 kilograms weight? | image/image292.png | 8 | float | statistics | high school | 292 | 292 | 1 | |
293 | The diagram shows height of buildings in town. How many buildings are exactly 80 meters? | image/image293.png | 0 | float | statistics | high school | 293 | 293 | 1 | |
294 | The ternary plot shows the three-sector model of an unknown country. What is the percentage of primary sector in the economy of this country . | image/image294.png | 0.9 | float | statistics | undergraduate | 294 | 294 | 1 | |
295 | The ternary plot shows the three-sector model of an unknown country. Which sector contributes most to the economy of this country? choice: (A) Primary Sector (B) Secondary Sector (C) Tertiary Sector | image/image295.png | B | multiple choice | statistics | undergraduate | 295 | 295 | 1 | |
296 | According to the slope field, dx/dy = a * x^3, find the value of 'a'. | image/image296.png | 0.3333 | float | analytic geometry | undergraduate | 296 | 296 | 1 | |
297 | According to the slope field, dx/dy = a * sin(x), find the value of 'a'. | image/image297.png | -3 | float | analytic geometry | undergraduate | 297 | 297 | 1 | |
298 | Which differential equation generates the slope field? (A) 3x + 0y (B) 3x - 0y (C) 0y - 3x (D) 3x (E) -3x - 0y | image/image298.png | D | multiple choice | analytic geometry | undergraduate | 298 | 298 | 1 | |
299 | Which differential equation generates the slope field? choice: (A) x/y (B) (x + 2)/(y + -4) (C) (x - 2)/(y + -4) (D) (x - 2)/(y - 4) (E) (x + 2)/(y - 4) | image/image299.png | E | multiple choice | analytic geometry | undergraduate | 299 | 299 | 1 | |
300 | What is the general solution to the differential equation that generated the slope field? choice: (A) x = 4cos(y) + C (B) y = 4cos(x) + C (C) y = -4cos(x) + C (D) y = 4sin(x) + C | image/image300.png | D | multiple choice | analytic geometry | undergraduate | 300 | 300 | 1 |
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