Reading graphs and charts (applied practice)

{"questions":[{"content":"The chart shows the number of visitors to a news website on each day from $10$ to $29$ November $2009$. The horizontal axis shows the day of the month, and the vertical axis shows the number of visitors that day. Use the chart to determine the date on which the number of visitors was lowest during this period.[[image-1]][[fill_choice_big-153]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/5-01.svg","width":"500"},"fill_choice_big-153":{"type":"fill_choice_big","options":["$15$","$11$","$23$"],"placeholder":0,"answer":0}},"hints":["To determine the smallest number of site visitors, find the lowest column in the diagram. We see that this column corresponds to the value of $15$ on the horizontal axis. Consequently, the number of visitors to the news site was the lowest in November $15$."]},{"content":"The chart shows the number of visitors to a news website on each day from $10$ to $29$ November $2011$. The horizontal axis shows the day of the month, and the vertical axis shows the number of visitors that day. Use the chart to determine the date on which the number of visitors was highest during this period.[[image-6]][[fill_choice_big-234]]","widgets":{"image-6":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/5-01.svg","width":"500"},"fill_choice_big-234":{"type":"fill_choice_big","options":["$24$","$12$","$15$"],"placeholder":0,"answer":0}},"hints":["To determine the largest number of site visitors, find the highest column in the diagram. We see that this column corresponds to the value of $24$ on the horizontal axis. Consequently, the number of visitors to the news site was highest in November $24$."]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. The days of the week are indicated horizontally, and the values of atmospheric pressure in millimeters of mercury are indicated vertically. Determine from the figure the lowest value of atmospheric pressure on Tuesday (in millimeters of mercury).[[image-23]][[fill_choice_big-367]]","widgets":{"image-23":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/6-01.svg","width":"500"},"fill_choice_big-367":{"type":"fill_choice_big","options":["$751$","$750$","$760$"],"placeholder":0,"answer":0}},"hints":["Look at the section of the chart corresponding to Tuesday. The lowest value of atmospheric pressure on Tuesday corresponds to the lowest point in this section of the graph. Therefore, the lowest atmospheric pressure on Tuesday was $751 \\space mmHg$"]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. The days of the week are indicated horizontally, and the values of atmospheric pressure in millimeters of mercury are indicated vertically. Determine from the figure the highest value of atmospheric pressure on Tuesday (in millimeters of mercury).[[image-36]][[fill_choice_big-490]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/6-01.svg","width":"500"},"fill_choice_big-490":{"type":"fill_choice_big","options":["$754$","$752$","$760$"],"placeholder":0,"answer":0}},"hints":["Look at the section of the chart corresponding to Tuesday. The highest value of atmospheric pressure on Tuesday corresponds to the highest point in this section of the graph. Therefore, the highest atmospheric pressure on Tuesday was $754 \\space mmHg$"]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. Days of the week and time are indicated horizontally, and atmospheric pressure values in millimeters of mercury are indicated vertically. Find the value of atmospheric pressure on Tuesday at $6$ o'clock in the morning. Give your answer in millimeters of mercury.[[image-69]][[fill_choice_big-617]]","widgets":{"image-69":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/7-01.svg","width":"500"},"fill_choice_big-617":{"type":"fill_choice_big","options":["$758$","$760$","$752$"],"placeholder":0,"answer":0}},"hints":["Look at the section of the graph showing atmospheric pressure on Tuesday. From it we see that in $6:00$ the atmospheric pressure was $758 \\space mm. \\space Hg.\\space column.$"]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. Days of the week and time are indicated horizontally, and atmospheric pressure values in millimeters of mercury are indicated vertically. Find the barometric pressure on Tuesday at $12$ night. Give your answer in millimeters of mercury.[[image-80]][[fill_choice_big-779]]","widgets":{"image-80":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/7-01.svg","width":"500"},"fill_choice_big-779":{"type":"fill_choice_big","options":["$761$","$758$","$760$"],"placeholder":0,"answer":0}},"hints":["Look at the section of the graph showing atmospheric pressure on Tuesday. From it we see that in $00:00$ the atmospheric pressure was $761\\space mm. \\space Hg.\\space column.$"]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. Days of the week and time are indicated horizontally, and atmospheric pressure values in millimeters of mercury are indicated vertically. Find the highest value of atmospheric pressure on Wednesday. Give your answer in millimeters of mercury.[[image-980]][[fill_choice_big-1105]]","widgets":{"image-980":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/7-01.svg","width":"500"},"fill_choice_big-1105":{"type":"fill_choice_big","options":["$757$","$758$","$760$"],"placeholder":0,"answer":0}},"step":1,"hints":["Consider the section of the graph corresponding to the environment. The highest value of atmospheric pressure corresponds to the highest point in this section of the graph. Consequently, the highest value of atmospheric pressure in the environment was $757 \\space mmHg$"]},{"content":"The figure shows a graph of atmospheric pressure values in a certain city over three days. Days of the week and time are indicated horizontally, and atmospheric pressure values in millimeters of mercury are indicated vertically. Find the lowest value of atmospheric pressure on Wednesday. Give your answer in millimeters of mercury.[[image-1020]][[fill_choice_big-1327]]","widgets":{"image-1020":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/7-01.svg","width":"500"},"fill_choice_big-1327":{"type":"fill_choice_big","options":["$752$","$751$","$757$"],"placeholder":0,"answer":0}},"hints":["Consider the section of the graph corresponding to the environment. The lowest value of atmospheric pressure corresponds to the lowest point in this section of the graph. Consequently, the lowest value of atmospheric pressure in the environment was $752\\space mmHg$"]},{"content":"The diagram shows the number of visitors to the educational site on all days from $10$ to $29$ November $2013$. The horizontal axis indicates the days of the month, and the vertical axis indicates the number of site visitors for a given day. Determine from the diagram the smallest number of visitors to an educational site for the specified period.[[image-1564]][[fill_choice_big-1762]]","widgets":{"image-1564":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/5-01.svg","width":"500"},"fill_choice_big-1762":{"type":"fill_choice_big","options":["$400 \\space 000$","$600 \\space 000$","$800 \\space 000$"],"placeholder":0,"answer":0}},"hints":["The lowest number of site visitors corresponds to the lowest point on the chart. Therefore, the smallest number of site visitors was $400 \\space 000.$"]},{"content":"The diagram shows the number of visitors to the Internet site on all days from $10$ to $29$ October $2009$. The horizontal axis indicates the days of the month, and the vertical axis indicates the number of site visitors for a given day. Determine from the diagram the largest number of visitors to the website for the period from $10$ to $17$ October.[[image-1599]][[fill_choice_big-2044]]","widgets":{"image-1599":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/5-01.svg","width":"500"},"fill_choice_big-2044":{"type":"fill_choice_big","options":["$800 \\space 000$","$400 \\space 000$","$600 \\space 000$"],"placeholder":0,"answer":0}},"hints":["The highest number of site visitors corresponds to the highest point on the chart in the period from $10$ to $17$ number. Consequently, the largest number of site visitors was $800 \\space 000.$"]}]}

{"questions":[{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Tyumen from $7$ to $22$ February $2007$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day (in millimeters) is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine the maximum daily amount of precipitation for a given period from the figure. Give your answer in millimeters.[[image-1]][[fill_choice_big-13]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b4cbf2-01.svg","width":"500"},"fill_choice_big-13":{"type":"fill_choice_big","options":["$4.5$","$5$","$4$"],"placeholder":0,"answer":0}},"step":1,"hints":["The highest point on the graph is the point lying on the straight line $y=4.5\\space mm.$ $$Answer-4.5 \\space mm$$"]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Tyumen from $7$ to $22$ April $2008$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day (in millimeters) is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the figure the highest daily amount of precipitation for the period from $7$ to $11$ date. Give your answer in millimeters.[[image-38]][[fill_choice_big-51]]","widgets":{"image-38":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b4cbf2-01.svg","width":"500"},"fill_choice_big-51":{"type":"fill_choice_big","options":["$2$","$4.5$","$3$"],"placeholder":0,"answer":0}},"step":1,"hints":["The highest number on the chart for the period from $7$ to $11$ is the point lying on the straight line $y=2\\space mm.$ $$Answer-2 \\space mm$$"]},{"content":"In the figure, bold dots show the price of gold set by the Central Bank of the Russian Federation on all working days in October $2009$. The dates of the month are indicated horizontally, and the price of gold in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the figure the highest price of gold in the period from $22$ to $30$ October. Give your answer in rubles per gram.[[image-29]][[fill_choice_big-123]]","widgets":{"image-29":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/fa107f-01.svg","width":"500"},"fill_choice_big-123":{"type":"fill_choice_big","options":["$990$","$1\\space000$","$950$"],"placeholder":0,"answer":0}},"step":1,"hints":["Determine the highest point in a given period. Such a point is observed $24$ number and has a value $990$ along the $y.$ axis"]},{"content":"In the figure, bold dots show the price of gold set by the Central Bank of the Russian Federation on all working days in October $2009$. The dates of the month are indicated horizontally, and the price of gold in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine the highest price of gold in a given period from the figure. Give your answer in rubles per gram.[[image-50]][[fill_choice_big-204]]","widgets":{"image-50":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/fa107f-01.svg","width":"500"},"fill_choice_big-204":{"type":"fill_choice_big","options":["$1\\space010$","$990$","$980$"],"placeholder":0,"answer":0}},"hints":["Determine the highest point in a given period. Such a point is observed $14$ number and has a value $1\\space010$ along the $y.$ axis"]},{"content":"In the figure, bold dots show the price of gold set by the Central Bank of the Russian Federation on all working days in October $2009$. The dates of the month are indicated horizontally, and the price of gold in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the picture the date of the highest value of gold in the period from $22$ to $30$ October.[[image-352]][[fill_choice_big-416]]","widgets":{"image-352":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/fa107f-01.svg","width":"500"},"fill_choice_big-416":{"type":"fill_choice_big","options":["$24$","$22$","$28$"],"placeholder":0,"answer":0}},"step":1,"hints":["Determine the highest point in a given period. Such a point is observed $24$ number and has a value $990$ along the $y.$ axis"]},{"content":"In the figure, bold dots show the average daily air temperature in Moscow every day from $6$ to $18$ in August $2001$. The dates of the month are indicated horizontally, and the temperature (in degrees Celsius) is indicated vertically. For clarity, bold points are connected by lines. Determine from the figure the lowest average daily temperature during the period from $6$ to $16$ August. Give your answer in degrees Celsius.[[image-91]][[fill_choice_big-180]]","widgets":{"image-91":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/3-01.svg","width":"500"},"fill_choice_big-180":{"type":"fill_choice_big","options":["$16$","$12$","$6$"],"placeholder":0,"answer":0}},"hints":["Find the lowest temperature in the area from $6$ to $16$ August. From the figure we see that the lowest temperature during this period was $16$ August. The lowest average daily temperature during the period from $6$ to $16$ August was $16$ degrees."]},{"content":"In the figure, bold dots show the average daily air temperature in Minsk every day from $6$ to $18$ June $1991$. The dates of the month are indicated horizontally, and the temperature (in degrees Celsius) is indicated vertically. For clarity, bold points are connected by lines. Determine from the figure the highest average daily temperature in the period from $6$ to $16$ June. Give your answer in degrees Celsius.[[fill_choice_big-380]][[image-507]]","widgets":{"fill_choice_big-380":{"type":"fill_choice_big","options":["$26$","$24$","$20$"],"placeholder":0,"answer":0},"image-507":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/3-01.svg","width":"500"}},"hints":["Find the highest temperature in the area from $6$ to $16$ June. From the figure we see that the highest temperature during this period was $9$ June. The highest average daily temperature in the period from $6$ to $16$ June was $26$ degrees."]},{"content":"In the figure, bold dots show the average daily air temperature in Bryansk every day from $6$ to $18$ June $2005$. The dates of the month are indicated horizontally, and the temperature (in degrees Celsius) is indicated vertically. For clarity, bold points are connected by lines. Determine from the picture the date on which the highest average daily temperature was in the period from $6$ to $16$ June.[[fill_choice_big-634]][[image-153]]","widgets":{"fill_choice_big-634":{"type":"fill_choice_big","options":["$9$","$11$","$14$"],"placeholder":0,"answer":0},"image-153":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/3-01.svg","width":"500"}},"hints":["Find the highest temperature in the area from $6$ to $16$ June. From the figure we see that the highest temperature during this period was $9$ June."]},{"content":"The diagram shows the average monthly air temperature in Perm for each month of the year $1992$. The horizontal axis indicates the months, and the vertical axis indicates the temperature (in degrees Celsius). Determine the highest average monthly temperature in the year $1992$ from the diagram. Give your answer in degrees Celsius.[[image-916]][[fill_choice_big-1084]]","widgets":{"image-916":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/4-01.svg","width":"500"},"fill_choice_big-1084":{"type":"fill_choice_big","options":["$18$","$20$","$16$"],"placeholder":0,"answer":0}},"hints":["From the chart we see that June had the highest average monthly temperature.<br />On the temperature axis, June corresponds to a mark in the middle between $16$ and $20$ degrees. Consequently, the highest average monthly temperature in the year $1992$ was $18$ degrees."]},{"content":"The diagram shows the average monthly air temperature in Tyumen for each month $1981$ of the year. The horizontal axis indicates the months, and the vertical axis indicates the temperature (in degrees Celsius). Determine the lowest average monthly temperature in the year $1981$ from the diagram. Give your answer in degrees Celsius.[[image-981]][[fill_choice_big-1369]]","widgets":{"image-981":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/4-01.svg","width":"500"},"fill_choice_big-1369":{"type":"fill_choice_big","options":["$-20$","$-18$","$-16$"],"placeholder":0,"answer":0}},"hints":["From the chart we see that January had the lowest average monthly temperature, and it was $-20$ degrees."]}]}

{"questions":[{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Elista from $7$ to $18$ December $2001$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day in millimeters is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the greatest amount of precipitation fell in Elista for a given period.[[image-1]][[fill_choice_big-15]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/d71a7b-01.svg","width":"500"},"fill_choice_big-15":{"type":"fill_choice_big","options":["$11$","$10$","$18$"],"placeholder":0,"answer":0}},"hints":["We determine from the graph that the highest value of daily precipitation is achieved at point $11.$"]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Elista from $7$ to $18$ December $2001$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day in millimeters is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the greatest amount of precipitation fell in Elista for the period from December $13$ to $18$.[[image-34]][[fill_choice_big-50]]","widgets":{"image-34":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/d71a7b-01.svg","width":"500"},"fill_choice_big-50":{"type":"fill_choice_big","options":["$18$","$11$","$15$"],"placeholder":0,"answer":0}},"step":1,"hints":["We determine from the graph that the highest value of daily precipitation for the period from $13$ to $18$ December is achieved at point $18.$"]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Kazan from $3$ to $15$ February $1909$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day in millimeters is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the greatest amount of precipitation fell in Kazan for a given period.[[image-127]][[fill_choice_big-163]]","widgets":{"image-127":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/d14578-01.svg","width":"500"},"fill_choice_big-163":{"type":"fill_choice_big","options":["$15$","$11$","$4$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the greatest amount of precipitation for a given period fell on the date $15$."]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Kazan from $3$ to $15$ February $1989$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day in millimeters is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the greatest amount of precipitation fell in Kazan for the period from $3$ to $13$ February.[[image-268]][[fill_choice_big-379]]","widgets":{"image-268":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/d14578-01.svg","width":"500"},"fill_choice_big-379":{"type":"fill_choice_big","options":["$11$","$15$","$10$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the greatest amount of precipitation during the period from $3$ to $13$ February fell on $11$ dates."]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Kazan from $3$ to $15$ February $2001$. The dates of the month are indicated horizontally, and the amount of precipitation that fell on the corresponding day in millimeters is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the greatest amount of precipitation fell in Kazan for the period from $3$ to $8$ February.[[image-290]][[fill_choice_big-537]]","widgets":{"image-290":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/d14578-01.svg","width":"502"},"fill_choice_big-537":{"type":"fill_choice_big","options":["$4$","$3$","$11$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the greatest amount of precipitation during the period from $3$ to $8$ February fell on $4$ dates."]},{"content":"The figure shows the Austrian schilling exchange rate set by the Central Bank of the Russian Federation on all working days in January $1999$ with bold dots. The dates of the month are indicated horizontally, and the price of the Austrian schilling in rubles is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the figure the highest exchange rate of the Austrian schilling for the given period. Give your answer in rubles.[[image-674]][[fill_choice_big-53]]","widgets":{"image-674":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/dc8b01-01.svg","width":"500"},"fill_choice_big-53":{"type":"fill_choice_big","options":["$1.94$","$1.92$","$1.90$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the highest exchange rate of the Austrian schilling was $12$ in January and amounted to $1.94$ ruble."]},{"content":"The figure shows the Austrian schilling exchange rate set by the Central Bank of the Russian Federation on all working days in January $1999$ with bold dots. The dates of the month are indicated horizontally, and the price of the Austrian schilling in rubles is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine the date of the highest exchange rate of the Austrian schilling from the picture.[[image-763]][[fill_choice_big-246]]","widgets":{"image-763":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/dc8b01-01.svg","width":"500"},"fill_choice_big-246":{"type":"fill_choice_big","options":["$12$","$20$","$27$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the highest exchange rate of the Austrian schilling was $12$ in January and amounted to $1.94$ ruble."]},{"content":"In the figure, bold dots show the price of tin at the close of exchange trading on all working days from $3$ to $18$ September $2007$. The dates of the month are indicated horizontally, and the price of a ton of tin in US dollars is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the figure on what date the price of tin at the close of trading became equal to $14 \\space 500$ US dollars per ton.[[image-908]][[fill_choice_big-572]]","widgets":{"image-908":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/e4b546-01.svg","width":"500"},"fill_choice_big-572":{"type":"fill_choice_big","options":["$5$","$3$","$8$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the price of tin at the close of trading became equal to $14 \\space 500$ US dollars per ton of $5$ number."]},{"content":"In the figure, bold dots show the price of tin at the close of exchange trading on all working days from $3$ to $18$ September $2007$. The dates of the month are indicated horizontally, and the price of a ton of tin in US dollars is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the picture what date the price of tin was maximum.[[image-860]][[fill_choice_big-1194]]","widgets":{"image-860":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/e4b546-01.svg","width":"500"},"fill_choice_big-1194":{"type":"fill_choice_big","options":["$10$","$9$","$11$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph that the price of tin was the maximum $10$ number."]},{"content":"In the figure, bold dots show the price of tin at the close of exchange trading on all working days from $3$ to $18$ September $2007$. The dates of the month are indicated horizontally, and the price of a ton of tin in US dollars is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the figure the maximum cost of tin in a given period.[[image-825]][[fill_choice_big-969]]","widgets":{"image-825":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/e4b546-01.svg","width":"500"},"fill_choice_big-969":{"type":"fill_choice_big","options":["$15 \\space150$","$14 \\space000$","$12 \\space200$"],"placeholder":0,"answer":0}},"hints":["We determine from the graph that the maximum cost of tin is reached $10$ number and is $15 \\space150.$"]}]}

{"questions":[{"content":"In the figure, bold dots show the price of silver set by the Central Bank of the Russian Federation on all working days in October $2009$. The dates of the month are indicated horizontally, and the price of silver in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the figure the lowest price of silver in the period from $9$ to $22$ October. Give your answer in rubles per gram.[[image-1]][[fill_choice_big-42]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/359dfc-01.svg","width":"500"},"fill_choice_big-42":{"type":"fill_choice_big","options":["$16.3$","$15.6$","$13.2$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the figure the lowest price of silver in the period from $9$ to $22$ October. The lowest price value in the selected period is $16.3.$"]},{"content":"In the figure, bold dots show the price of silver set by the Central Bank of the Russian Federation on all working days in October $2009$. The dates of the month are indicated horizontally, and the price of silver in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the figure the lowest price of silver in the period from $1$ to $7$ October. Give your answer in rubles per gram.[[image-4]][[fill_choice_big-131]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/359dfc-01.svg","width":"500"},"fill_choice_big-131":{"type":"fill_choice_big","options":["$15.5$","$16.3$","$15.2$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the figure the lowest price of silver in the period from $1$ to $7$ October. The lowest price value in the selected period is $15.5.$"]},{"content":"In the figure, bold dots show the price of silver set by the Central Bank of the Russian Federation on all working days in December $2009$. The dates of the month are indicated horizontally, and the price of silver in rubles per gram is indicated vertically. For clarity, the bold points in the figure are connected by a line. Determine from the figure the lowest price of silver in the period from $27$ to $31$ December. Give your answer in rubles per gram.[[image-29]][[fill_choice_big-208]]","widgets":{"image-29":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/359dfc-01.svg","width":"500"},"fill_choice_big-208":{"type":"fill_choice_big","options":["$15.3$","$15.5$","$16.4$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the figure the lowest price of silver in the period from $27$ to $31$ December. The lowest price value in the selected period is $15.3.$"]},{"content":"In the figure, bold dots show the average monthly air temperature in Sochi for each month $1920$ of the year. The horizontal line shows the month numbers, the vertical line shows the temperature in degrees Celsius. For clarity, bold points in the figure are connected by lines. Determine from the figure in which month the average monthly temperature in Sochi was the lowest for the given period. Write down the number of this month in your answer.[[image-294]][[fill_choice_big-323]]","widgets":{"image-294":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/06117f-01.svg","width":"500"},"fill_choice_big-323":{"type":"fill_choice_big","options":["$2$","$3$","$1$"],"placeholder":0,"answer":0}},"step":1,"hints":["The graph shows that the lowest average monthly temperature in Sochi was in the month $2$."]},{"content":"In the figure, bold dots show the average monthly air temperature in Sochi for each month of $1920$ of the year. The horizontal line shows the month numbers, the vertical line shows the temperature in degrees Celsius. For clarity, bold points in the figure are connected by lines. Determine from the figure in which month the average monthly temperature in Sochi was the highest for the given period. Write down the number of this month in your answer.[[image-464]][[fill_choice_big-528]]","widgets":{"image-464":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/06117f-01.svg","width":"500"},"fill_choice_big-528":{"type":"fill_choice_big","options":["$8$","$7$","$9$"],"placeholder":0,"answer":0}},"hints":["The graph shows that the highest average monthly temperature in Sochi was in the month $8$."]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Murmansk from $7$ to $22$ November $1995$. The horizontal line shows the dates of the month, the vertical line shows the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, bold points in the figure are connected by lines. Determine from the figure the highest daily precipitation in Murmansk for a given period. Give your answer in millimeters.[[image-704]][[fill_choice_big-804]]","widgets":{"image-704":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b4cbf2-01.svg","width":"500"},"fill_choice_big-804":{"type":"fill_choice_big","options":["$4.5$","$4$","$3.5$"],"placeholder":0,"answer":0}},"hints":["The graph shows that the highest daily precipitation in Murmansk for this period is $4.5.$"]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Murmansk from $7$ to $22$ November $1995$. The horizontal line shows the dates of the month, the vertical line shows the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, bold points in the figure are connected by lines. Determine the least daily precipitation in Murmansk for the given period from the figure. Give your answer in millimeters.[[image-944]][[fill_choice_big-1036]]","widgets":{"image-944":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b4cbf2-01.svg","width":"500"},"fill_choice_big-1036":{"type":"fill_choice_big","options":["$0$","$4$","$2.5$"],"placeholder":0,"answer":0}},"hints":["The graph shows that the lowest daily precipitation in Murmansk for this period is $0.$"]},{"content":"In the figure, bold dots show the daily amount of precipitation that fell in Arkhangelsk from $7$ to $22$ October $1998$. The horizontal line shows the dates of the month, the vertical line shows the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, bold points in the figure are connected by lines. Determine from the figure the least daily precipitation in Arkhangelsk for the period from $11$ to $16$ October. Give your answer in millimeters.[[fill_choice_big-1284]][[image-1431]]","widgets":{"fill_choice_big-1284":{"type":"fill_choice_big","options":["$0.5$","$0$","$1.5$"],"placeholder":0,"answer":0},"image-1431":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b4cbf2-01.svg","width":"500"}},"hints":["The graph shows that the lowest daily precipitation in Arkhangelsk for the period from $11$ to $16$ October is $0.5.$"]},{"content":"<br />The graph shows the dependence of atmospheric pressure on altitude above sea level. The horizontal axis shows the altitude above sea level in kilometers, and the vertical axis shows the pressure in millimeters of mercury. Determine from the graph at what altitude the atmospheric pressure is equal to $280$ millimeters of mercury. Give your answer in kilometers.[[image-1640]][[fill_choice_big-1709]]","widgets":{"image-1640":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/c8fd02-01.svg","width":"500"},"fill_choice_big-1709":{"type":"fill_choice_big","options":["$7.5$","$5.5$","$11$"],"placeholder":0,"answer":0}},"hints":["Let us find from the graph the altitude value at which the atmospheric pressure is equal to $280$ millimeters of mercury. This pressure is observed at point $7.5.$"]},{"content":"The graph shows the dependence of atmospheric pressure on altitude above sea level. The horizontal axis shows the altitude above sea level in kilometers, and the vertical axis shows the pressure in millimeters of mercury. Determine from the graph at what altitude the atmospheric pressure is equal to $660$ millimeters of mercury. Give your answer in kilometers.[[image-1886]][[fill_choice_big-2077]]","widgets":{"image-1886":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/c8fd02-01.svg","width":"500"},"fill_choice_big-2077":{"type":"fill_choice_big","options":["$1$","$2$","$3.5$"],"placeholder":0,"answer":0}},"hints":["Let us find from the graph the altitude value at which the atmospheric pressure is equal to $660$ millimeters of mercury. This pressure is observed at point $1.$"]}]}

{"questions":[{"content":"In the figure, bold dots show the average daily air temperature in Brest every day from $6$ to $18$ July $1981$. The dates of the month are indicated horizontally, and the temperature in degrees Celsius is indicated vertically. For clarity, bold points are connected by lines. Determine from the figure the lowest average daily temperature in Brest during the period from $7$ to $17$ July inclusive. Give your answer in degrees Celsius.[[image-1]][[fill_choice_big-8]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/0a3e7c-01.svg","width":"500"},"fill_choice_big-8":{"type":"fill_choice_big","options":["$16$","$17$","$20$"],"placeholder":0,"answer":0}},"hints":["In the figure, in the interval from $7$ to $17$, the graph has the smallest value - $16.$"]},{"content":"In the figure, bold dots show the average daily air temperature in Brest every day from $6$ to $18$ in August $2020$. The dates of the month are indicated horizontally, and the temperature in degrees Celsius is indicated vertically. For clarity, bold points are connected by lines. Determine from the figure the lowest average daily temperature in Brest during the period from $6$ to $9$ August inclusive. Give your answer in degrees Celsius.[[image-33]][[fill_choice_big-67]]","widgets":{"image-33":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/0a3e7c-01.svg","width":"502"},"fill_choice_big-67":{"type":"fill_choice_big","options":["$18$","$16$","$10$"],"placeholder":0,"answer":0}},"hints":["In the figure, in the interval from $6$ to $9$, the graph has the smallest value - $18.$"]},{"content":"In the figure, bold dots show the price of tin at the close of exchange trading on all working days from $14$ to $28$ November $2007$. The dates of the month are indicated horizontally, and the price of tin in US dollars per ton is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the figure the lowest price of tin at the close of trading in the period from $15$ to $21$ November. Give your answer in US dollars per ton.[[image-123]][[fill_choice_big-213]]","widgets":{"image-123":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/0c8872-01.svg","width":"500"},"fill_choice_big-213":{"type":"fill_choice_big","options":["$23 \\space 300$","$23 \\space 400$","$23 \\space 500$"],"placeholder":0,"answer":0}},"hints":["In the period from $15$ to $21$ November, the lowest price is $23 \\space 300.$"]},{"content":"In the figure, bold dots show the price of lead at the close of exchange trading on all working days from $14$ to $28$ November $2008$. The dates of the month are indicated horizontally, and the price of lead in US dollars per ton is indicated vertically. For clarity, bold points in the figure are connected by lines. Determine from the figure the lowest price of lead at the close of trading in the period from $22$ to $28$ November. Give your answer in US dollars per ton.[[image-134]][[fill_choice_big-294]]","widgets":{"image-134":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/0c8872-01.svg","width":"500"},"fill_choice_big-294":{"type":"fill_choice_big","options":["$22\\space 700$","$23 \\space 300$","$22 \\space 300$"],"placeholder":0,"answer":0}},"step":1,"hints":["In the period from $22$ to $28$ November, the lowest price is $22\\space 700.$"]},{"content":"In the figure, bold dots show the price of gold at the close of exchange trading on all working days from $3$ to $24$ in October $2002$. The horizontal line shows the dates of the month, the vertical line shows the price of gold in US dollars per ounce. For clarity, the bold points in the figure are connected by a line. Determine from the figure what date the price of gold at the close of trading was the highest for the given period.[[image-459]][[fill_choice_big-619]]","widgets":{"image-459":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/4d84b1-01.svg","width":"500"},"fill_choice_big-619":{"type":"fill_choice_big","options":["$4$","$3$","$11$"],"placeholder":0,"answer":0}},"hints":["The graph takes the greatest value at point $4.$"]},{"content":"In the figure, bold dots show the price of gold at the close of exchange trading on all working days from $3$ to $24$ in October $2002$. The horizontal line shows the dates of the month, the vertical line shows the price of gold in US dollars per ounce. For clarity, the bold points in the figure are connected by a line. Determine from the figure what date the price of gold at the close of trading was the lowest for the given period.[[image-478]][[fill_choice_big-781]]","widgets":{"image-478":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/4d84b1-01.svg","width":"500"},"fill_choice_big-781":{"type":"fill_choice_big","options":["$21$","$3$","$4$"],"placeholder":0,"answer":0}},"hints":["The graph takes the smallest value at point $21.$"]},{"content":"In the figure, bold dots show the price of nickel at the close of exchange trading on all working days from $10$ to $26$ November $2008$. The horizontal line shows the dates of the month, the vertical line shows the price of nickel in US dollars per ton. For clarity, bold points in the figure are connected by lines. Determine from the figure the lowest price of nickel at the close of trading for the given period. Give your answer in US dollars per ton.[[image-970]][[fill_choice_big-1023]]","widgets":{"image-970":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b70e0b_3-01.svg","width":"500"},"fill_choice_big-1023":{"type":"fill_choice_big","options":["$10 \\space 000$","$11 \\space 200$","$11 \\space 700$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the chart the lowest price of nickel at the close of trading for a given period. The lowest nickel price is $10 \\space 000.$"]},{"content":"In the figure, bold dots show the price of nickel at the close of exchange trading on all working days from $10$ to $26$ November $2008$. The horizontal line shows the dates of the month, the vertical line shows the price of nickel in US dollars per ton. For clarity, bold points in the figure are connected by lines. Determine from the figure the highest price of nickel at the close of trading for the given period. Give your answer in US dollars per ton.[[image-1230]][[fill_choice_big-1291]]","widgets":{"image-1230":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/b70e0b_3-01.svg","width":"500"},"fill_choice_big-1291":{"type":"fill_choice_big","options":["$11 \\space 700$","$10 \\space 000$","$11 \\space 200$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the chart the highest price of nickel at the close of trading for a given period. The highest value of nickel price is $11 \\space 700.$"]},{"content":"The graph shows the dependence of the torque of a car engine on the number of revolutions per minute. The horizontal axis shows the number of revolutions per minute, and the vertical axis shows the torque in $N\\cdot m$. In order for the car to start moving, the torque must be at least $120 \\space N\\cdot m$. Determine from the graph what minimum number of engine revolutions per minute is enough for the car to start moving.[[image-1688]][[fill_choice_big-1850]]","widgets":{"image-1688":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/c2db05-01.svg","width":"500"},"fill_choice_big-1850":{"type":"fill_choice_big","options":["$2 \\space000$","$1 \\space000$","$3 \\space000$"],"placeholder":0,"answer":0}},"step":1,"hints":["Let us determine from the graph the number of revolutions at which the torque reaches $120 \\space N\\cdot m$. <br />Answer: $2 \\space000.$"]},{"content":"The graph shows the dependence of the torque of a car engine on the number of revolutions per minute. The horizontal axis shows the number of revolutions per minute, and the vertical axis shows the torque in $N\\cdot m$. In order for the car to start moving, the torque must be at least $60 \\space N\\cdot m$. Determine from the graph what minimum number of engine revolutions per minute is enough for the car to start moving.[[image-1723]][[fill_choice_big-2037]]","widgets":{"image-1723":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2025/02/c2db05-01.svg","width":"500"},"fill_choice_big-2037":{"type":"fill_choice_big","options":["$1 \\space500$","$2 \\space000$","$1 \\space000$"],"placeholder":0,"answer":0}},"hints":["Let us determine from the graph the number of revolutions at which the torque reaches $60 \\space N\\cdot m$. <br />Answer: $1 \\space500.$"]}]}