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301
In the diagram drawn on the square grid, find the ratio of the unshaded area to the shaded area. choice: (A) 1/4 (B) 2/5 (C) 1/3 (D) 1/5
A
plane geometry
302
Which of the shapes cannot be split into two triangles using a single straight line? choice: (A) left shape (B) right shape
B
plane geometry
303
Find the area of the triangle enclosed by three black points.
1.5
analytic geometry
304
How many circles is the red point inside?
4
plane geometry
305
The store has 4 combinations of candies. Each candy type has the same price. Find the price of the fourth combination.
23
algebra
306
a, b are two arbitrary number. According to the calculation of first and second rows, find the value of third row of calculations.
38.5
arithmetic
307
The diagram below is a model of two solutions. Each ball represents one particle of solute. Which solution has a higher concentration of particles? choice: (A) Solution A (B) Solution B (C) Their concentrations are the same
A
scientific figure
308
The diagram below is a model of two solutions. Each ball represents one mole particle of solute.Which solution has a higher mass? choice: (A) Solution A (B) Solution B (C) Their masses are the same
A
scientific figure
309
The diagram below is a model of three solutions. Each ball represents 0.01 mole KMnO4. If researcher pour left two solutions to rightmost beaker. Find the concentration of the solution in the rightmost beaker.
0.1163
scientific figure
310
Fill in the blank of the second equation.
4.0952
algebra
311
A ticket will be issued when the vehicle speed exceeds 70 mph. According to the instrument panel below, will this vehicle get the ticket? choice: (A) Yes (B) No
A
scientific figure
312
The sum of numbers on three consecutive underlines is always 10. Find the number on the red underlines.
7
puzzle test
313
The statements on the right give clues to the identity of a three-digit code. What is the code?
275
puzzle test
314
What is the color of the normal distribution line with largest standard deviation? choice: (A) red (B) blue (C) green (D) orange
B
statistics
315
Write the numbers 1, 2, 3, 4, 5 in the square 5x5 in such a way that every row and every column has each number. How many kinds of number can be put to replace 'x'?
3
puzzle test
316
According to the boarding pass, how long is the flight time of this airplane? Answer the question using the total number of minutes.
610
arithmetic
317
Tom writes down two five-digit number. He places different shapes on different digits. He places the same shape on the same digits. Find the value of first five-digit number.
34844
arithmetic
318
Find the distance between orange and blue point.
7.2801
solid geometry
319
In the grid, how many dark blue squares have to be coloured white, so that in each row and each column there is exactly one dark blue square? If it is impossible that in each row and each column there is exactly one dark blue square, answer 0.
10
arithmetic
320
Which line is longer, the pink or the red line? choice: (A) pink (B) red (C) Their lengths are the same
A
solid geometry
321
According to the algorithm chart, if we input 31, what is the output?
37
scientific figure
322
According to the following algorithm flowchart, if we input a=33, b=3, what is the output?
36
scientific figure
323
Two containers of the same gas (ideal) have these masses and temperatures Which box has atoms with the largest average thermal energy? choice:(A) A (B) B (C) Their average thermal energy is the same
B
scientific figure
324
Two containers of the same gas (ideal) have these masses and temperatures Which container of gas has the largest thermal energy? choice:(A) A (B) B (C) Their average thermal energy is the same
A
scientific figure
325
Three equally spaced identical long straight wires carry different currents. In which direction will the middle wire try to move when the currents are switched on? choice: (A) to the left (B) to the right (C) stay the same
A
scientific figure
326
To avoid emergency situation, the university decides to cut down the highest eucalyptus, which is 84m high. They cut the tree at 30 metres of the trunk. How far from the tree will be safe when the eucalyptus falls?
44.8999
scientific figure
327
Steven wants to write each of the digits 7, 3, 0 and 8 into the boxes of this addition: He wants to obtain the biggest result possible. Which digit does he have to use for the tenth digit number?
7
arithmetic
328
The result of shooters in shooting tournament is shown in the image. What is the score?
23
arithmetic
329
A uniform meterstick is balanced at its midpoint with several forces applied as shown below. If the stick is in equilibrium, what is the magnitude of the force X in N?
19
scientific figure
330
A uniform meterstick is balanced at its midpoint with several forces applied as shown below. If the stick is in equilibrium, what is the magnitude of the force X in N?
59.05
scientific figure
331
The graph shows the force on an object of mass M as a function of time. For the time interval 0 to 10 s, what is the total change in the momentum of the object?
-16
scientific figure
332
The diagrams below show two pure samples of gas in identical closed, rigid containers. Each colored ball represents one gas particle. Both samples have the same number of particles. Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature? choice: (A) sample A (B) sample B (C) Their temperature is the same
B
scientific figure
333
The cell in the following circuit has an emf of 4.0 V. The digital voltmeter reads 1.2 V. What is the voltage at L2?
2.8
scientific figure
334
The cell in the following circuit has an emf of 3.1 V. The digital voltmeter reads 1.7 V. The resistance of L1 is 1 omega. What is the resistance of L2?
0.8235
scientific figure
335
Which point represents the conjugate of the complex number z? choice: (A) red point (B) green point (C) blue point
B
analytic geometry
336
Find the value of z * (z∗).
13
analytic geometry
337
Find the value of z1 * z2.
1
analytic geometry
338
Find the value of ∠z1oz2. Give the answer in degrees.
90
analytic geometry
339
Is ∠z1oz2 equal to ∠z3oz4? choice: (A) Yes (B) No
A
analytic geometry
340
Determine the missing part. Choice: (A) ↗ (B) ↖ (C) ↘ (D) ↙
A
puzzle test
341
What is the date today? Answer in the format like mm/dd/yyyy.
11/02/2006
arithmetic
342
The calendar is partially covered with ink. What day is it today? Answer in word with the first letter capitalized.
Sunday
arithmetic
343
Mike shot two clock pictures. The left one was shotted before the midday. The right one was shotted after the midday. How many minutes passed between two shots?
945
arithmetic
344
If the coyote population were to decrease, what would happen to the sheep population? choice: (A) increase (B) decrease
A
scientific figure
345
What is the global maximum of this function?
1
analytic geometry
346
What is the global minimum of this function?
-7
analytic geometry
347
how many odd functions are in the graph?
3
analytic geometry
348
how many even functions are in the graph?
2
analytic geometry
349
F1 = 9N, S1 = 1m^2, and S2 = 28m^2, find the value of force F2.
252
scientific figure
350
Find the missing number in the last node.
170
puzzle test
351
Which function has the highest order or growth? choice: (A) f1 (B) f2 (C) f3 (D) f4
C
algebra
352
Which function has the lowest order or growth? choice: (A) f1 (B) f2 (C) f3 (D) f4
B
algebra
353
A sample of ideal gas is taken from an initial state to a final state following a curve on a pV diagram at right. What is the work that the gas does?
1500
scientific figure
354
A sample of ideal gas is taken from an initial state to a final state following a curve on a pV diagram at right. What is the work that the gas does?
0
scientific figure
355
Each of the digits 1, 6, 5 and 4 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?
115
arithmetic
356
Find the missing value.
10
arithmetic
357
Find the missing number.
2628
arithmetic
358
Input binary number B = 11000, find the corresponding decimal value by the algorithm shown in image.
24
scientific figure
359
The height h of the cylinder is 41. Find the volume of the cylinder.
284530.905
solid geometry
360
The height h of the cylinder is 18. Find the surface area of the cylinder.
17140.5295
solid geometry
361
If the black point is reflected in x-axis, what are the coordinates of its image? Please answer in the form (_, _)
(1.000, 0.000)
analytic geometry
362
If the red point is reflected in y-axis, what are the coordinates of its image? Please answer in the form (_, _)
(3.000, -1.000)
analytic geometry
363
If the blue point is reflected about the origin, what are the coordinates of its image? Please answer in the form (_, _)
(6.000, -4.000)
analytic geometry
364
Which type of function best describes the correlation? (A) Linear (B) Quadratic (C) Cubic
A
statistics
365
Which type of function best describes the correlation? (A) Exponential (B) Logarithmic (C) Sine
C
statistics
366
Which group has the largest Y value? A. Group 1 B. Group 2 C. Group 3
A
statistics
367
How many points are inside the circle?
1
statistics
368
How many red points are inside the blue circle?
1
statistics
369
How many points are inside the rectangle?
1
statistics
370
How many points are inside the triangle?
3
statistics
371
Please count how many points are outside the circle?
8
statistics
372
Please count how many red points are outside the blue circle?
7
statistics
373
How many points are outside the ellipse?
7
statistics
374
How many points are outside the rectangle?
8
statistics
375
How many points are outside the triangle?
9
statistics
376
Which group has the smallest Y value? A. Group 1 B. Group 2 C. Group 3
C
statistics
377
Which month shows the greatest increase in temperature from the previous month?
Jul
statistics
378
Which quarter had the highest average rainfall?
Q1
statistics
379
Which city had the highest average temperature in July? Choices: (A) City 1 (B) City 2 (C) Both
B
statistics
380
Which month has the highest average temperature after smoothing with a 3-month moving average?
Oct
statistics
381
Which year had the highest peak in stock prices? Choices: (A) Year 1 (B) Year 2 (C) Both
B
statistics
382
What is the highest stock price recorded in the year?
500
statistics
383
Which month had the highest number of visitors to the website?
Oct
statistics
384
Which region had the lowest average monthly temperature in winter? Choices: (A) Region 1 (B) Region 2 (C) Both
B
statistics
385
What is the lowest heart rate recorded during the workout session?
66
statistics
386
The performance score is always the multiple of ten. Which player had the most consistent performance throughout the season? Choice: (A) Player 1 (B) Player 2
A
statistics
387
Use the graph to answer the question below. Which month is the coolest on average in Cape Town?
Nov
statistics
388
The histograms below represent donation amounts in different countries. Which country has the most people to donate between $50 and $100? Choices: (A) USA (B) Canada (C) UK (D) Australia
B
statistics
389
The histograms below represent the number of rainy days per month in two cities. Which city has a higher number of rainy days? Choices: (A) City A (B) City B
B
statistics
390
The histogram below represents the scores of students in a class. What is the most common range of scores in the class? Choices: (A) 50-60 (B) 60-70 (C) 70-80 (D) 80-90 (E) 90-100
D
statistics
391
The histograms below represent the work hours of employees in different departments. Which department has the highest number of employees working more than 40 hours per week? Choices: (A) HR (B) IT (C) Finance (D) Marketing
C
statistics
392
All values are integers. What is the sum of all values strictly greater than 1 across all categories?
57
statistics
393
All values are integers. What is the minimum value across all categories?
1
statistics
394
All values are integers. What is the sum of the squares of the differences between each value in Category 1 and the mean of Category 1?
20.75
statistics
395
All values are integers. What is the sum of the squares of the differences between each value in Category 1 and the mean of Category 2?
51.0
statistics
396
All values are integers. What is the smallest range (difference between the maximum and minimum values) among the three categories?
3
statistics
397
All values are integers. What is the product of the maximum values from each category?
567
statistics
398
All values are integers. What is the average of the middle values from each category?
7.0
statistics
399
All values are integers. What is the sum of all values strictly smaller than 6 across all categories?
5
statistics
400
All values are integers. What is the mean value of category with the highest sum?
8.0
statistics