Diurnal is shown in the figure in bold dots. Educational edition

Prototypes of the B2 USE-2012 assignment. Write down the answer in the box (below the assignment).

Quest Source: Decision 2649.-15. OGE 2017 Mathematics, I.V. Yashchenko. 36 options.

Task 14. Student Tsvetkova leaves Naro-Fominsk for Moscow for classes at the university. Classes start at 9:00. The table shows the schedule of morning electric trains from Nara station to Kievsky railway station in Moscow.

The journey from the station to the university takes 45 minutes. Indicate the departure time from Nara station of the latest (in time of departure) electric train that suits the student.

1) 05:55; 2) 06:29; 3) 06:37; 4) 07:02

Solution.

To be in time before 9:00, the student needs to add 45 minutes by the time the train arrives at the Kievskiy station, and this time must be less than 9:00. Since you need to specify the latest time that is suitable, we will begin to consider the arrival time from the end of the table:

08: 06 + 0: 45 = 8: 51 - suitable.

This arrival time corresponds to the departure time from Nara station 07:02 and answer option number 4.

Answer: 4.

Task 15. The figure shows the daily amount of precipitation in Petrozavodsk from January 6 to January 18, 2005, in bold dots. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the picture what date from this period in Petrozavodsk the largest amount of precipitation fell.

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« in the figure in bold dots»- found 242 tasks

(impressions: 2719 , answers: 1175 )

In the figure, bold dots show the daily precipitation in Murmansk from November 7 to 22, 1995. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the figure how many days there was no precipitation.

Answer: 2

(impressions: 2688 , answers: 1174 )

The figure shows the gold price at the close of exchange trading on all working days from October 3 to October 24, 2002, as bold dots. Horizontally indicates the date of the month, vertically - the price of an ounce of gold in US dollars. For clarity, the bold points in the figure are connected by a line. Determine from the figure what date the gold price at the close of trading was the lowest for a given period.

Answer: 21

(impressions: 2729 , answers: 1173 )

In the figure, the bold dots show the daily amount of precipitation in Elista from December 7 to 18, 2001. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the figure what is the highest daily rainfall for a given period.

Answer: 4.5

(impressions: 2769 , answers: 1171 )

The figure in bold dots shows the price of tin at the time of the close of exchange trading on all working days from September 3 to September 18, 2007. Horizontally indicates the date of the month, vertically - the price of a ton of tin in US dollars. For clarity, the bold points in the figure are connected by a line. Determine from the picture on what date the price of tin at the close of trading for the first time in this period became $ 14,900 per ton.

Answer: 7

(impressions: 2700 , answers: 1166 )

The figure shows the gold price at the close of exchange trading on all working days from July 11 to July 27, 2000, as bold dots. Horizontally indicates the date of the month, vertically - the price of an ounce of gold in US dollars. For clarity, the bold points in the figure are connected by a line. Determine from the figure the lowest gold price at the close of trading in the specified period (in US dollars per ounce).

Answer: 277

(impressions: 2667 , answers: 1164 )

The figure shows the gold price at the close of exchange trading on all working days from March 5 to March 28, 1996, as bold dots. Horizontally indicates the date of the month, vertically - the price of an ounce of gold in US dollars. For clarity, the bold points in the figure are connected by a line. Determine from the figure the lowest gold price at the close of trading in the period from March 8 to 25 (in US dollars per ounce).

Answer: 396

(impressions: 2650 , answers: 1163 )

The figure shows the oil price at the close of exchange trading on all working days from April 4 to April 19, 2002, as bold dots. Horizontally indicates the date of the month, vertically - the price of a barrel of oil in US dollars. For clarity, the bold points in the figure are connected by a line. Determine from the picture what date the oil price at the close of trading was the lowest for a given period.

Answer: 12

(impressions: 2673 , answers: 1157 )

The figure in bold dots shows the daily amount of precipitation that fell in Kazan from February 3 to February 15, 1909. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the figure how many days from this period there was no precipitation.

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3 UDC: BBK 22.1я72 Я11 Modular course "I will pass the OGE!" created by a team of authors from among the members of the Federal Commission for the Development of Control measuring materials and experts from the OGE. It includes Toolkit“Methodology of preparation. Keys and Answers ”and the study guide“ Practice and Diagnostics ”. Tutorial designed to prepare students in grades 8-9 for the state final certification. The manual activates the work of students in the following areas: replenishment, actualization and systematization of knowledge on all elements of the content checked at the OGE; exercise in practical application knowledge when performing typical exam tasks. The manual is addressed to teachers, schoolchildren and their parents to check / self-check the achievement of the requirements educational standard to the level of preparation of graduates. Educational edition I'll pass the OGE! Modular course Mathematics Workshop and diagnostics Textbook for educational organizations Head of the publishing project, editor-in-chief O. G. Kotlyar Head of the editorial office of mathematics and computer science T. A. Burmistrova Deputy head of the editorial office of mathematics and computer science T. Yu. Akimova Project coordinator M. A. Efremova Editor N. N. Sorokina Design A. G. Bushin Computer graphics I. V. Gubina, A. G. Vyunikovskaya, O. Yu. Tupikina Computer layout and technical editing E. M. Zavaley Proofreaders I. A. Grigalashvili, N. A. Erokhina, O. N. Leonova, I. V. Chernova Tax incentive All-Russian classifier products OK Ed. persons. Series ID from Signed for printing Format / 16. Offset paper. SchoolBookCSanPin headset. Offset printing. Uch.-ed. l. 26.34. Circulation of copies Order. Joint-stock company "Publishing house" Prosveshchenie ", Moscow, 3rd proezd Maryinoy roshcha, 41. Printed in JSC" Pervaya Obraztsovaya Printing House ", branch" ULYANOVSK PRINTING HOUSE ", Ulyanovsk, st. Goncharova, 14. ISBN Publishing house "Prosveshchenie", 2017 Artistic design. Publishing house "Education", 2017 All rights reserved

4 Foreword Study guide “I will pass the OGE! Modular course. Maths. Workshop and Diagnostics ”was prepared with the scientific and methodological support of the Federal Institute of Pedagogical Measurements (FIPI) and is intended to prepare students in grades 7-9 for successful passing of the OGE in mathematics. The manual consists of three modules: "Real mathematics", "Algebra", "Geometry", corresponding to the modular structure of the OGE in mathematics. The tasks of each module are divided into double lessons of various topics and along with the main block of tasks contain tasks for repetition on other topics. A clean solution of problems is not required. Checking tasks with a short answer is carried out only on the basis of the answer. The solutions to the problems with a detailed answer are recorded in a separate notebook. Most of the objectives of the manual are similar to the real ones. tasks of the OGE in mathematics and adapted to their format. The answer to such problems is an integer, a final decimal fraction, or a set of numbers that establishes a correspondence between the data in the statement of the problem with statements. The record of the answer in the form of the decision can contain only numbers, comma, minus sign. Each character is written in a separate box. No other characters, including units, are recorded. The check of answers to tasks with a short answer of a real exam is carried out by a computer after scanning the answer sheet and comparing the scan results with the correct answers. Therefore, the numbers in the answer sheet should be written legibly (so that, for example, 1 and 7 or 8 and B are recognized correctly). If additional characters are present, the answer is recognized as incorrect. If the result of solving problem 1 is common fraction, for example, before writing the answer to the form, 8 must be converted to decimal, that is, write 0.125 in the answer, using a separate cell to write each character (in this case, exactly 6 cells). An answer recorded in a different form will be recognized as incorrect. Systematic lessons on the manual (even in the case of significant gaps in knowledge when starting to work with it) make it possible to form sustainable skills in solving the main types of problems necessary for application in real life. life situations and successful passing the exam in mathematics with a view to continuing education at the senior level high school or college. Such skills will allow you to successfully overcome the minimum threshold for the OGE in mathematics. Of course, the manual also includes material, the assimilation of which guarantees not only overcoming the minimum threshold, but also getting a higher grade for the OGE. Each lesson is aimed at a specific result and contains a sufficient number of assignments for quality preparation. The manual is intended both for use in educational process in combination with any basic educational and methodological kit, and for out-of-class lessons in preparation for the OGE.

5 4 MODULE "REAL MATHEMATICS" READING AND ANALYSIS OF DATA PRESENTED IN THE FORM OF TABLES Training work 1 1. The table shows the standards for jumping from a place for students in grade 11. Boys Girls Mark “5” “4” “3” “5” “4” “3” Distance (in cm) What mark will a girl get when she jumped 167 cm? 1) Mark "5" 2) Mark "4" 3) Mark "3" 4) The standard is not met 2. The table shows the distances from the Sun to four planets Solar system... Which of these planets is closest to the Sun? Planet Venus Mars Saturn Jupiter Distance (in km) 1,) Venus 2) Mars 3) Saturn 4) Jupiter 3. using automatic fixing tools. Exceeding the speed limit (in km / h) or more Amount of the fine (in rubles) What fine must the owner of the car pay if the speed of the car is 90 km / h on a section of the road with a maximum speed of 40 km / h? 1) 500 p. 2) 1000 p. 3) 2000 p. 4) 5000 p.

6 4. Scientist Ivanov leaves Moscow for a conference at St. Petersburg University. The conference starts at 10:00. The table shows the schedule of night trains from Moscow to St. Petersburg. 5 Train number Departure from Moscow Arrival in St. Petersburg 026А 22:41 06:32 002А 23:55 07:55 038А 22:42 06:40 016А 00:43 09:12 It takes an hour and a half from the station to the university. Indicate the number of the latest (by departure time) train that suits the scientist. 1) 026А 2) 002А 3) 038А 4) 016А 5. Chicken eggs, depending on their weight, are divided into five categories: the highest, perfect, first, second, third. Using the data presented in the table, determine to which category an egg weighing 82.2 g belongs. Category Highest Weight of one egg (g) 75.0 and more Selected 65.0 74.9 First 55.0 64.9 Second 45, 0 54.9 Third less than 45.0 1) Highest 2) Selective 3) Second 4) Third 6. During the game, the jury gave the following marks to teams for participating in competitions: Team Points for the first competition Points for the second competition Points for the third competition А B C D For each team, the points for all competitions are summed up, the winner is the team with the highest total number of points. By how many points did Team B overtake the team that took fourth place?

7 6 7. The table provides information on largest cities Russia (as of 2014). Which city has the sixth largest population? In your answer, indicate the population density of this city (in people per sq. Km). City Population (thousand people) Area (sq. Km) Density (people per sq. Km) Yekaterinburg Kazan Moscow Nizhny Novgorod Novosibirsk Omsk Rostov-on-Don Samara St. Petersburg Chelyabinsk The table shows the company's income and expenses for 5 months. Month Income (thousand rubles) Expenditure (thousand rubles) July August September October November Using the table, assign the characteristics of income and expenses to each of the indicated periods of time. Period A) August B) September C) October D) November Characteristic 1) the expense in this month is greater than the expense in the previous one 2) the largest difference between income and expense 3) the largest income in the period from August to November 4) income this month less than the income in the previous In the table, under each letter, indicate the corresponding number. A B C D

8 9. Vasya decided to visit the amusement park. Information about tickets for attractions is presented in the table. Some tickets allow you to visit two attractions at once. 7 Ticket number Amusement rides Cost (p.) 1 Laughter room Fear room, laughter room Autodrom, laugh room laughter, an autodrome, and the total cost of tickets did not exceed 850 rubles. In your answer, indicate in ascending order one set of ticket numbers without spaces, commas and other additional characters. 10. To process a summer cottage, a summer resident needs to purchase a shovel, a hoe, a pitchfork and a rake. The store sells sets of tools, some sets only consist of one tool. Prices are shown in the table. Set number Tools Cost (rubles per piece) 1 Fork Chopper, forks Chopper Rake, shovel Shovel Rake, forks 440 Using the table, assemble a complete set of necessary tools so that the total cost is the lowest. In the answer for the assembled kit, indicate in ascending order the kit numbers without spaces, commas, or other additional characters.

9 8 Home (test) work 1 1. The table shows the standards for jumping from a place for students in grade 11. Boys Girls Mark “5” “4” “3” “5” “4” “3” Distance (in cm) What mark will a girl get when she jumped 177 cm? 1) Mark "5" 2) Mark "4" 3) Mark "3" 4) The standard is not met 2. The table shows the distances from the Sun to the four planets of the solar system. Which of these planets is farthest from the Sun? Planet Venus Mars Saturn Jupiter Distance (in km) 1,) Venus 2) Mars 3) Saturn 4) Jupiter 3. using automatic fixing tools. Exceeding the speed limit (in km / h) or more Amount of the fine (in rubles) What fine must the owner of a car, whose recorded speed was 95 km / h on a section of road with a maximum permitted speed of 60 km / h, have to pay? 1) 500 p. 2) 1000 p. 3) 2000 p. 4) 5000 p. 4. Scientist Petrov leaves Moscow for a conference at St. Petersburg University. The conference starts at 9:00. The table shows the schedule of night trains from Moscow to St. Petersburg.

10 Train number Departure from Moscow Arrival in St. Petersburg 026А 22:41 06: А 23:55 07:55 038А 22:42 06:40 016А 00:43 09:12 The way from the station to the university takes an hour and a half. Indicate the number of the latest (by departure time) train that suits the scientist. 1) 026А 2) 002А 3) 038А 4) 016А 5. Chicken eggs, depending on their weight, are divided into five categories: the highest, perfect, first, second, third. Using the data presented in the table, determine to which category an egg weighing 73.4 g belongs. Category Highest Weight of one egg (g) 75.0 and more Selected 65.0 74.9 First 55.0 64.9 Second 45, 0 54.9 Third less than 45.0 1) Highest 2) Selective 3) Second 4) Third 6. During the game, the jury gave the following marks to teams for participating in competitions: Team Points for the first competition Points for the second competition Points for the third competition А B C D For each team, the points for all competitions are summed up, the winner is the team that scored the most points in total. How many points does the team that took the last place have in total?

11 10 7. The table contains information about the largest cities in Russia (as of 2014). Which of these cities is the third largest in size? Please indicate the population of this city in your answer. City Population (thousand people) Area (sq. Km) Density (people per sq. Km) Yekaterinburg Kazan Moscow Nizhny Novgorod Novosibirsk Omsk Rostov-on-Don Samara St. Petersburg Chelyabinsk The table shows the company's income and expenses for 5 months ... Month Income (thousand rubles) Expenditure (thousand rubles) March April May June July Using the table, assign the characteristics of income and expenses to each of the indicated periods of time. Period A) April B) May C) June D) July Characteristic 1) consumption in this month exceeded income 2) the lowest consumption in the period from April to July 3) income in this month is more than in the previous one 4) consumption in this month is more than the previous one In the table, under each letter, indicate the corresponding number. A B C D

12 9. Venya decided to visit the amusement park. Information about tickets for attractions is presented in the table. Some tickets allow you to visit two attractions at once. 11 Ticket number Amusement rides Cost (p.) 1 Ferris wheel, racetrack Panic room, laugh room laughter, an autodrome, and the total cost of tickets did not exceed 1000 rubles. In your answer, indicate in ascending order one set of ticket numbers without spaces, commas and other additional characters. 10. To process a summer cottage, a summer resident needs to purchase a shovel, a hoe, a pitchfork and a rake. The store sells sets of tools, some sets only consist of one tool. Prices are shown in the table. Set number Tools Cost (rubles per piece) 1 Rake Fork, rake Shovel Chopper, rake Fork, shovel Chopper 200 Using the table, assemble a complete set of necessary tools so that the total cost is the lowest. In the answer for the assembled kit, indicate in ascending order the kit numbers without spaces, commas, or other additional characters.

13 12 Review tasks 1. Find the mean arithmetic numbers 6 and Find the arithmetic mean of the numbers 8, 7 and Find the arithmetic mean of the numbers 5, 4, 29, 40. Training activity 2 1. To serve the international seminar, it is necessary to assemble a group of translators. Using the table, collect at least one group in which translators together speak all four languages: English, German, Spanish and French, and the total cost of their services does not exceed p. in a day. In your answer, indicate in ascending order one set of translator numbers without spaces, commas and other additional characters. Translator's number Languages ​​Cost of services (rubles per day) 1 French, English German English, German French French, Spanish Spanish The table shows information about pizzas in the online store. Pizza number Composition / name Type Price (p.) 1 "4 cheese" Vegetarian Tomatoes, sweet peppers Vegetarian "Bolognese" Meat Chicken fillet, pineapple, cheese Meat Olives, mushrooms, tomatoes Vegetarian Chicken fillet, mushrooms, tomatoes Meat 580 Vitaly needs to buy three different pizzas so that among them there is at least one with mushrooms, at least one vegetarian and at least one meat. What pizzas Vitaly should choose if he expects to spend on everything not

14 more than 1250 rub.? In the answer, indicate in ascending order one set of pizza numbers without spaces, commas and other additional characters. For a group of foreign guests, you need to buy 12 guidebooks. The price of the guide and the terms of delivery for the entire purchase are shown in the table. Internet shop Guide price (rubles per piece) Shipping cost (rubles) Additional terms A No B C How much will the cheapest option of buying with delivery cost? Delivery is free if the order amount exceeds 3700 rubles. Delivery is free if the order amount exceeds 3500 rubles. 4. The Internet service provider offers three tariff plans. Tariff plan Subscription fee Traffic fee "0" No 0.9 rub. for 1 MB "200" "900" 208 p. for 200 MB of traffic per month 736 p. for 900 MB of traffic per month 0.6 rubles. for 1 MB over 200 MB 0.5 rub. for 1 MB over 900 MB The user assumes that his traffic will be 550 MB per month, and chooses the cheapest tariff plan. How much will a user have to pay per month if his traffic is really equal to 550 MB? 5. To transport 42 tons of cargo per 120 km, you can use the services of one of three shipping companies. The cost of transportation and the carrying capacity of vehicles of each carrier are shown in the table. Carrier Cost of transportation by one car (river for 10 km) Carrying capacity of one car (t) А B 400 5.5 В How many rubles will you have to pay for the cheapest transportation?

15 14 6. The table shows the results of Olympiads in physics and biology in grade 10 "A". Student number Physics score Biology score Commendation certificates are given to students who have total score in two Olympiads more than 120 or at least in one subject at least 65 points were scored. In the answer, indicate in ascending order the numbers of students 10 "A" who scored less than 65 points in physics and received commendations, without spaces, commas and other additional characters. 7. The client wants to rent a car for a day for a trip of 600 km. In addition to the rental, the client is obliged to pay for the fuel for the car for the entire trip. The price of diesel fuel is 25 rubles. per liter, gasoline 35 p. per liter, gas 20 rubles. per liter. How much rubles will the client pay for rent and fuel if he chooses the cheapest option? Car Fuel Fuel consumption (liters per 100 km) Rent (rubles per day) A Diesel B Gasoline C Gas A furniture salon concludes contracts with furniture manufacturers. The contracts indicate what percentage of the amount received for the sale of furniture goes to the income of the furniture salon. Manufacturer Percentage of the proceeds that go to the income of the salon Notes "Alpha" 6.5 Products with a price up to p. "Alpha" 2.5 Products with a price over p. Beta 3.5 All Omicron products 5 All products

16 The price list shows the prices for four buffets. Determine which buffet sale is the most profitable for the salon. In response, write down how many rubles will go to the salon's income from the sale of this buffet. 15 Manufacturer Product Price (p.) "Alpha" Buffet "Ambrose" "Alpha" Buffet "Boleslav" "Beta" Buffet "Vyacheslav" "Omicron" Buffet "Mir" The construction contractor plans to buy 20 tons of facing bricks from one of three suppliers. One brick weighs 5 kg. The price of bricks and delivery terms for the entire purchase are shown in the table. Supplier Brick price (rubles per piece) Shipping cost (rubles) Special conditions A No B C Delivery is free if the order amount exceeds rubles. Delivery with a 50% discount if the order amount exceeds p. How much will the cheapest option for buying with delivery cost? 10. An independent expert laboratory determines the rating of meat grinders based on a value coefficient equal to 0.01 of the average price P (in r.), Indicators of functionality F, quality Q and design D. Rating R is calculated by the formula R = 4 (2F + 2Q + D ) 0.01P. The table shows the prices and indicators of four models of meat grinders. Meat grinder model Meat grinder price (r. Per piece) Functionality Quality Design A B C D Find the model of meat grinder with the highest rating from those presented in the table.

17 16 Homework (credit) work 2 1. Using the table, gather at least one group in which translators together speak all four languages: English, German, Spanish and French, and the total cost of their services does not exceed p. in a day. In your answer, indicate in ascending order one set of translator numbers without spaces, commas and other additional characters. Translator's number Languages ​​Cost of services (rubles per day) 1 English Spanish, English German German, Spanish German, French French Artyom needs to buy three different pizzas so that among them there is at least one with mushrooms, at least one vegetarian and at least one meat. What pizzas should Artyom choose if he expects to spend no more than 1000 rubles on everything? In your answer, indicate in ascending order one set of pizza numbers without spaces, commas and other additional characters. Pizza number Composition Type Cost (p.) 1 Ham, cheese Meat Cheese, tomatoes Vegetarian Cheese Vegetarian Chicken, mushrooms, tomatoes Meat Beef, salami, mushrooms Meat Spinach, mushrooms, cheese, olives Vegetarian For a group of foreign guests, you need to buy 13 guidebooks. Online shop Guide price (rubles per piece) Shipping cost (rubles) Additional conditions A No B C Delivery is free if the order amount exceeds 4000 rubles. Delivery is free if the order amount exceeds 3000 rubles.

18 How much will the cheapest option to purchase with delivery cost? The ISP offers three tariff plans. Tariff plan Subscription fee Traffic fee "0" No 1.5 rub. for 1 MB "200" "700" 204 rubles. for 200 MB of traffic per month 672 p. for 700 MB of traffic per month 1.2 rubles. for 1 MB over 200 MB 0.5 rub. for 1 Mb over 700 Mb The user assumes that his traffic will be 700 Mb per month and chooses the cheapest tariff plan. How much rubles will a user have to pay per month if his traffic is really equal to 700 MB? 5. To transport 45 tons of cargo per 130 km, you can use the services of one of three shipping companies. Carrier Cost of transportation by one car (per 10 km) Carrying capacity of one car (t) A 320 3.5 B C How many rubles will you have to pay for the cheapest transportation? 6. The results of the Olympiads in mathematics and social studies in the class are given. Student number Mathematics score Social science score Commendation certificates are given to schoolchildren who have a total score of more than 140 in two Olympiads or at least 75 points in at least one subject. In your answer, list in ascending order the number of students in the class who scored less than 75 in math and received honorable mentions, without spaces, commas, or other additional characters.

19 18 7. The client wants to rent a car for a day for a trip of 500 km. The table shows the characteristics of three cars and the cost of their rental. Car Fuel Fuel Consumption (liters per 100 km) Rent (rubles per day) A Diesel B Petrol B Gas In addition to rent, the client is obliged to pay for fuel for the car for the entire trip. The price of diesel fuel is 25 rubles. per liter, gasoline 35 p. per liter, gas 20 rubles. per liter. How much rubles will the client pay for rent and fuel if he chooses the cheapest option? 8. The furniture showroom concludes contracts with furniture manufacturers. The contracts indicate what percentage of the amount received for the sale of furniture goes to the income of the furniture salon. Percentage of revenue received by the salon Notes "Alpha" 7 Products with a price up to p. "Alpha" 2 Products with a price over p. Beta 3.5 All Omicron products 6 All products The price list shows prices for four wardrobes. Determine which wardrobe sale is the most profitable for the salon. In response, write down how many rubles will go to the salon's income from the sale of this wardrobe. Company manufacturer Company manufacturer Product Price (p.) "Alpha" Wardrobe "Anisya" "Alpha" Wardrobe "Vlasta" "Beta" Wardrobe "Inga" "Omicron" Wardrobe "Leocadia" The construction contractor plans to buy 10 tons of facing bricks from one of three suppliers. One brick weighs 5 kg. The price of bricks and delivery terms for the entire purchase are shown in the table.

20 Supplier Brick price (rubles per piece) Shipping cost (rubles) Special conditions A No B C Delivery is free if the order amount exceeds rubles. Delivery with a 50% discount if the order amount exceeds p. 19 How much will the cheapest option to purchase with delivery cost? 10. The car magazine determines the rating of cars based on the indicators of safety S, comfort C, functionality F, quality Q and design- 3S + 2C + 2F + 2Q + D on D. Rating R is calculated by the formula R =. Table 50 shows the figures for the three car models. Car model Comfort Safety Functionality Quality Design A B C Find the highest rated car model in the table. Review tasks 1. Find the meaning of the expression Find the meaning of the expression Find the meaning of expression 43,

21 20 READING AND ANALYSIS OF DATA PRESENTED IN THE FORM OF GRAPHS Training work 3 1. The graph shows the change in air temperature over three days. The date and time are displayed horizontally, the temperature value in degrees Celsius vertically. Schedule the highest air temperature on August 7th. Give your answer in degrees Celsius. 2. The graph shows the dependence atmospheric pressure from the height above sea level. The horizontal axis shows the height above sea level in kilometers, the vertical axis shows the pressure in millimeters of mercury. Determine from the graph at what height the atmospheric pressure is 400 mm Hg. Give your answer in kilometers. 3. When the flashlight is operating, the battery is gradually discharged and the voltage in the electric circuit of the flashlight drops. The graph shows the dependence of the voltage in the circuit on the operating time of the flashlight. On the horizontal axis the operating time of the flashlight is marked in hours, on the vertical axis the voltage in volts. Determine from the graph how many hours of flashlight operation the voltage will drop from 1.4 to 1.2 V.

22 4. The figure shows the speed of an athlete during cardio training. The minutes elapsed since the beginning of the training are indicated horizontally, the athlete's speed vertically in km / h. What was the athlete's speed 2 minutes after the start of the training? Give your answer in km / h The figure shows the average monthly air temperature in Sochi for each month in 1920 in bold dots. The horizontal indicates the months, the vertical indicates the temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure the highest average monthly temperature in the period from May to December 1920. Give your answer in degrees Celsius. 6. The graph shows the temperature change during the warm-up of a passenger car engine. The horizontal axis shows the time in minutes elapsed since the engine was started, the vertical axis shows the engine temperature in degrees Celsius. Determine from the graph by how many degrees Celsius the engine will heat up from 1 to 3 minutes from the moment of starting. 7. The figure shows the power consumption in the city N during the day. The hours of the day are indicated horizontally, the power in megawatts vertically. What is the difference between the highest and the lowest power consumption between 2 am and 2 pm? Give your answer in megawatts.

23 22 8. The figure shows the number of hazardous hydrometeorological phenomena in the Russian Federation from 1996 to 2011 in bold dots. The year is indicated horizontally, and the number of events on the vertical. How many years during the specified period did the annual number of dangerous phenomena exceed 240? 9. The graph shown in the figure shows the change in the share price of an oil producing company in the first two weeks of May. The vertical axis is the value of one share in rubles, the horizontal axis is the number of May. In the first week of May, the businessman bought 20 shares, and then sold them in the second week. What is the biggest profit he could get? Give your answer in rubles. 10. The graph shown in the figure shows the change in the share price of a mining company in the first half of September. The vertical axis represents the value of one share in rubles, and the horizontal number of September. On September 7, the businessman bought a block of shares, and on September 13 he sold it. As a result of these operations, the businessman's profit amounted to 3600 rubles. How many shares were there?

24 Homework (test) work 3 1. The graph shows the change in air temperature over three days. The date and time are displayed horizontally, the temperature value in degrees Celsius vertically. Determine the lowest air temperature on August 8 from the graph. Give your answer in degrees Celsius. The graph shows the dependence of atmospheric pressure on altitude. The horizontal axis shows the height above sea level in kilometers, the vertical axis shows the pressure in millimeters of mercury. Determine from the graph at what height the atmospheric pressure is 300 mm Hg. Give your answer in kilometers. 3. When the flashlight is operating, the battery is gradually discharged and the voltage in the electric circuit of the flashlight drops. The graph shows the dependence of the voltage in the circuit on the operating time of the flashlight. On the horizontal axis the operating time of the flashlight in hours is marked, on the vertical axis the voltage in volts. Determine according to the schedule how many hours the flashlight will run the voltage will drop from 1.2 to 0.8 V.

25 24 4. The figure shows the speed of an athlete during cardio training. The minutes elapsed since the beginning of the training are indicated horizontally, the athlete's speed vertically in km / h. How many minutes after the start of training did the athlete's speed first reach 10 km / h? 5. The figure in bold dots shows the average daily air temperature in Brest every day from July 6 to 19, 1981. The horizontal dates indicate the days of the month, the vertical temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure the difference between the highest and lowest average daily temperatures for the specified period. Give your answer in degrees Celsius. 6. The graph shows the temperature change during the warm-up of a passenger car engine. The horizontal axis shows the time in minutes elapsed since the engine was started, the vertical axis shows the engine temperature in degrees Celsius. Determine from the graph by how many degrees Celsius the engine will cool down from 7 to 10 minutes from the moment of starting. 7. The figure shows the power consumption in the city N during the day. The hours of the day are indicated horizontally, the power in megawatts vertically. What is the difference between the highest and the lowest power consumption between 10 am and 10 pm? Give your answer in megawatts.

26 8. The figure shows the number of hazardous hydrometeorological phenomena in the Russian Federation from 1996 to 2011 in bold dots. The year is indicated horizontally, the number of events on the vertical. How many years during this period did the annual number of dangerous events exceed 320? The chart shows the change in the exchange value of the company's shares on one of the days from 9:00 (start of trading) to 15:00 (end of trading). The vertical axis shows the value of one share in rubles, the horizontal axis shows the time of day. The businessman bought 3,000 shares before noon and then sold them before the close of trading on the same day. What is the biggest profit he could get? Give your answer in rubles. 10. The chart shows the change in the stock market value of the company's shares in the first half of September. The vertical axis represents the value of one share in rubles, and the horizontal number of September. On September 3, the businessman bought a block of shares, and on September 10 he sold it. As a result of these operations, the businessman's loss amounted to p. How many shares were there? Review tasks 5 1. Find the meaning of the expression, Find the meaning of the expression ,. 3. Find the meaning of the expression, + 3.

27 26 Training work 4 1. The graph shows the dependence of the engine torque on the number of revolutions per minute. The horizontal axis is the number of revolutions per minute, the vertical axis is the torque in Nm. Assign a torque curve to each RPM interval. Interval A) rpm B) rpm C) rpm D) rpm In the table below each letter, indicate the corresponding number. Characteristic 1) with an increase in the number of revolutions, the torque drops, but remains more than 60 Nm throughout the interval 2) with an increase in the number of revolutions, the torque drops and does not exceed 80 Nm throughout the entire interval 3) with an increase in the number of revolutions, the torque does not change 4) with an increase in the number of revolutions, the torque increases A B C D 2. The graph shows the dependence of temperature on time in the process of warming up the engine of a passenger car. The horizontal axis shows the time in minutes since the engine was started, the vertical axis shows the engine temperature in degrees Celsius. Assign a temperature characteristic to each time interval. Interval A) 0 1 min B) 2 3 min C) 5 6 min D) 7 9 min Characteristic 1) the temperature rose and was above 60 C over the entire interval 2) the fastest rise in temperature 3) the temperature dropped 4) the temperature was within 40 to 50 C In the table, under each letter, indicate the corresponding number. A B C D 3. The graph shows the dependence of the gymnast's heart rate on time during and after his performance in floor exercises. On the horizontal axis the time (in minutes) has passed since the beginning of the gymnast's performance, on the vertical axis the pulse rate (in beats per minute).

28 Using the graph, match each time interval with the gymnast's heart rate profile for that interval. 27 A) 0 1 min B) 1 2 min C) 2 3 min D) 3 4 min Interval Characteristic 1) the pulse rate fell 2) the greatest increase in the pulse rate 3) the pulse rate first fell and then increased 4) the pulse rate did not exceed 90 bpm In the table, under each letter, indicate the corresponding number. A B C D 4. The graph shows the dependence of the speed of a passenger car on time. On the vertical axis the speed of a passenger car is marked in km / h, on the horizontal axis the time in seconds has passed since the beginning of the movement of the car. Assign to each time interval the characteristic of the vehicle's movement in this interval. Interval A) 0 30 s B) c C) c D) c Characteristic 1) the vehicle speed reached its maximum during the entire time of the vehicle movement 2) the vehicle speed did not decrease and did not exceed 40 km / h 3) the car stopped for 15 sec 4) vehicle speed did not increase over the entire interval In the table, under each letter, indicate the corresponding number. A B C D 5. The graph shows the dependence of the sinking speed of the bathyscaphe on time. The vertical axis shows the speed in m / s, the horizontal axis the time in seconds elapsed since the beginning of the dive. Using the graph, assign to each time interval the characteristic of the submersion of the bathyscaphe in this interval.

29 28 Interval Characteristic A) 0 60 s B) c C) c D) c 1) the sinking speed did not increase throughout the entire interval 2) the sinking speed reached its maximum for the entire time 3) the dive was performed without deceleration throughout the entire interval 4) the bathyscaphe stopped for exactly 15 seconds In the table, under each letter, indicate the corresponding number. A B C D 6. The dots in the figure show the number of boys and girls born for each calendar month in 2013 in the city maternity hospital. Months are indicated horizontally, and the number of boys and girls born (separately) vertically. For clarity, the points are connected by lines. Using the figure, match each of the indicated periods of time with the characteristics of the birth rate during this period. Period A) January March B) April June C) July September D) October December Characteristic 1) the difference between the number of boys born and the number of girls born in one of the months of this period reaches the greatest value over the year 2) the birth rate of girls increased 3) the birth rate of girls decreased 4) the birth rate of boys exceeded the birth rate of girls In the table, under each letter, indicate the corresponding number. A B C D 7. The figure shows the atmospheric pressure in the city N for three days from April 4 to April 6, 2013. Pressure is measured 4 times during the day: at night (00:00), in the morning (06:00), in the afternoon (12:00) and in the evening (18:00). The time of day and date are shown horizontally, the vertical pressure is in millimeters of mercury. For clarity, the points are connected with a line.

30 Using the figure, match each of the indicated periods of time with the pressure characteristic of the city N during this period April 5 April April 6 Period A) day 4 April (from 12 to 18 hours) B) day 5 April (from 12 to 18 hours ) C) night of April 5 (from 0 to 6 a.m.) D) day of April 6 (from 12 to 6 p.m.) Characteristic 1) after reaching a three-day maximum, the pressure began to fall 2) the smallest pressure drop 3) the smallest increase in pressure 4) the pressure did not exceed 756 mmHg Art. In the table, under each letter, indicate the corresponding number. A B C D 8. The dots in the figure show the volume of monthly sales of refrigerators in a home appliance store. Months are indicated horizontally, and the number of refrigerators sold vertically. For clarity, the points are connected with a line. Using the figure, match each of the indicated periods of time with a sales characteristic of refrigerators. Period A) January March B) April June C) July September D) October December In the table, under each letter, indicate the corresponding number. Feature 1) monthly sales decreased by more than 200 refrigerators over the entire period 2) the same number of refrigerators were sold in the first and second months of the period 3) the slowest decrease in monthly sales 4) monthly sales increased by 200 refrigerators in one month A B C D 9. The figure shows the average daily air temperature in Moscow in January 2011 by dots. The horizontal indicates the day of the month, and the vertical indicates the temperature in degrees Celsius. For clarity, the points are connected with a line.

31 30 Assign a temperature characteristic to each time period. Period A) 1 January 7 B) 8 January 14 C) January D) January Characteristic 1) the temperature reached a monthly maximum 2) in the second half of the week the temperature did not change 3) the temperature reached a monthly minimum 4) at the end of the week there was an increase in temperature In the table under write the corresponding number with each letter. A B C D 10. The figure shows the annual volume of coal production in Russia by the open-cut method in the period from 2001 to 2010. The horizontal indicates the year, and the vertical volume of coal production in million tons. For clarity, the points are connected with a line. Using the figure, match each of the indicated periods of time with the characteristic of coal production. Period Characteristic A) 1) during the period, production volumes first grew, and then began to fall. B) d. B) years. D) years. 2) the annual production volume in each year was more than 175, but less than 200 million tons 3) the period contains the year in which the volume of coal production was minimal 4) the volume of production during this period grew every year In the table, under each letter, indicate the corresponding number. A B C D

32 Homework (test) work The graph shows the dependence of the engine torque on the number of revolutions per minute. The horizontal axis is the number of revolutions per minute, the vertical axis is the torque in Nm. Assign a torque curve to each RPM interval. Interval A) rpm B) rpm C) rpm D) rpm In the table below each letter, indicate the corresponding number. Characteristic 1) with an increase in the number of revolutions, the torque drops 2) with an increase in the number of revolutions, the fastest increase in torque 3) the torque does not exceed 20 Nm over the entire interval 4) the torque does not change over the entire interval A B C D 2. On the graph depicts the dependence of temperature on time in the process of warming up the engine of a passenger car. The horizontal axis shows the time in minutes since the engine was started, the vertical axis shows the engine temperature in degrees Celsius. Assign a temperature characteristic to each time interval. Interval A) 0 1 min B) 3 4 min C) 5 6 min D) 7 9 min Characteristic 1) the temperature increased, and its increase was less than 10 C 2) the temperature increased and in this interval reached 60 C 3) the fastest growth temperature 4) temperature dropped In the table under each letter, indicate the corresponding number. A B C D 3. The graph shows the dependence of the gymnast's heart rate on time during and after his performance in floor exercises. On the horizontal axis the time (in minutes) has passed since the beginning of the gymnast's performance, on the vertical axis the pulse rate (in beats per minute).

33 32 Using the graph, match each time interval with the gymnast's heart rate profile for this interval. Interval A) 2 3 min B) 3 4 min C) 4 5 min D) 5 7 min Characteristic 1) the pulse rate decreased throughout the interval 2) the pulse rate reached a maximum during the entire performance and after it 3) the pulse rate first dropped, and then it increased 4) the heart rate increased throughout the entire interval In the table under each letter, indicate the corresponding number. A B C D 4. The graph shows the dependence of the speed of a passenger car on time. On the vertical axis the speed of a passenger car is marked in km / h, on the horizontal axis the time in seconds has passed since the beginning of the movement of the car. Assign to each time interval the characteristic of the vehicle's movement in this interval. Interval A) c B) c C) c D) c Characteristic 1) the car did not increase speed throughout the entire interval and drove at a constant speed for some time 2) the car speed was constantly decreasing 3) the car made a stop for 15 s 4) the car speed reached its maximum for the entire time of movement In the table, under each letter, indicate the corresponding number. A B C D 5. The graph shows the dependence of the sinking speed of the bathyscaphe on time. The vertical axis shows the speed in m / s, the horizontal axis the time in seconds elapsed since the beginning of the dive.

34 Using the graph, assign to each time interval the characteristic of the submersion of the bathyscaphe in this interval. 33 Interval A) 0 60 s B) c C) c D) c Characteristic 1) the bathyscaphe did not move for 30 s 2) the sinking speed was constantly increasing 3) the sinking speed is not less than 0.3 m / s over the entire interval 4) speed dives not more than 0.1 m / s over the entire interval In the table under each letter, indicate the corresponding number. A B C D 6. The dots in the figure show the number of boys and girls born for each calendar month in 2013 in a city family house. Months are indicated horizontally, and the number of boys and girls born (separately) vertically. For clarity, the points are connected by lines. Using the figure, match each of the indicated periods of time with the characteristics of the birth rate during this period. Period A) January March B) April June C) July September D) October December Characteristics 1) the birth rate of boys fell the fastest 2) in each month of the period the number of girls and boys born did not differ by more than 5 3) in each month more boys were born than girls 4) the birth rate of girls was minimal. In the table, under each letter, indicate the corresponding number. A B C D

35 34 7. In the figure, the dots show the water consumption of the city CHP during the day. The hours of the day are shown horizontally, and the vertical water consumption for the past hour in cubic meters. Match each of the specified time periods with the characteristic of the water consumption of the given CHP during this period. Period Characteristic A) night (from 0 to 6 a.m.) 1) water consumption decreased during the entire period B) morning (from 6 to 12 noon) 2) water consumption during the entire period was less than 20 cubic meters per hour C) day (from 12 to 18 hours) 3) water consumption has more than tripled during the entire period D) evening (from 18 to 24 hours) 4) water consumption first increased and then fell In the table, under each letter, indicate the corresponding number. A B C D 8. The dots in the figure show the monthly sales of heaters in a home appliance store. Months are indicated horizontally, and the number of heaters sold vertically. For clarity, the points are connected with a line. Using the figure, match each of the indicated time periods with a sales profile for heaters. Period A) winter B) spring C) summer D) autumn Characteristic 1) monthly sales volume was less than 40 units during the entire period 2) monthly sales volume reached a maximum 3) sales volume fell by more than 60 units during period 4) monthly volume sales grew, but was less than 120 units In the table, under each letter, indicate the corresponding number. A B C D

36 9. In the figure, the dots show the average daily air temperature in Chelyabinsk in April 2012. The horizontal indicates the day of the month, the vertical indicates the temperature in degrees Celsius. Match each of the indicated time periods with a temperature change characteristic. 35 Period A) 1 April 7 B) 8 April 14 C) April D) April Characteristic 1) in the second half of the week the temperature decreased 2) 4 days a week the temperature took the same value 3) the temperature reached a monthly maximum 4) the temperature did not decreased during the week In the table, under each letter, indicate the corresponding number. A B C D 10. The figure shows the change in the value of the company's shares in the period from September 1 to September 12, 2012. The day of the month is indicated horizontally, the value of one share in rubles is indicated vertically. Using the figure, match each of the indicated time intervals with a characteristic of the change in the value of a share. Period A) B) C) D) Characteristics 1) the share price did not fall below 300 rubles. 2) the share price reached a two-week high 3) the share price grew daily 4) the share price did not exceed 300 rubles. In the table, under each letter, indicate the corresponding number. A B C D Review tasks 1. Find the meaning of the expression 088 ,. 22, 2. Find the meaning of the expression: Find the meaning of the expression ,.

37 36 READING AND ANALYSIS OF DATA SHOWN IN THE FORM OF DIAGRAMS Training Activity 5 1. The diagram shows the nutrient content of the bread crumbs. Determine from the diagram, the content of which substances prevails. 1) Proteins 2) Fats 3) Carbohydrates 4) Others Write down the number of the selected answer. 2. The chart shows the age composition of the Chinese population. Determine from the diagram which of age categories the smallest. 1) 0 14 years old 2) years old 3) years old 4) 65 years old and older Write down the number of the selected answer option. 3. The diagram shows the distribution of land in the Volga Federal District by category. Determine from the diagram which land categories occupy more than 25% of the district's area. 1) Forest lands 2) Agricultural lands 3) Reserve lands 4) Other lands Write down in ascending order the numbers of the selected answer options without spaces, commas and other additional characters.

38 4. The diagrams show the nutrient content of cocoa, chocolate, curds and condensed milk. Determine from the charts which food has the highest fat content. 1) Cocoa 2) Chocolate 3) Cheese 4) Condensed milk Write down the number of the selected answer The diagrams show the distribution of lands by categories of the Ural, Volga, South and Siberian federal districts... Determine from the diagrams in which districts the share of forest lands exceeds 50%. 1) Ural FD 2) Volga FD 3) Southern FD 4) Siberian FD Write down in ascending order the number of the selected answer option without spaces, commas and other additional characters.

39 38 6. Which of the following pie charts shows the distribution of grades for test in mathematics in grade 8, if there are fives in the class about 35% of all grades, about 23% of fours, about 25% of threes and about 17% of twos? Write down the number of the selected answer option. 7. The diagram shows the distribution of the number of users of a certain social network by countries of the world. In total, this social network has 12 million users. Which of the following statements are incorrect? 1) There are more users from Argentina than users from Poland. 2) Users from Argentina are about three times more than users from Paraguay. 3) Users from Argentina and Belarus together more than half of the total number of users. 4) There are less than 9 million users from Brazil. In your response, write in ascending order the numbers of the selected statements, without spaces, commas, or other additional characters. 8. In the city from educational institutions there are schools, colleges, colleges and institutes. The data is presented in a pie chart. Which of the statements regarding the number of educational institutions different types are wrong if there are 120 educational institutions in the city? 1) There are more than half of the educational institutions of the school in the city. 2) There are less than 5 of all educational institutions in the city of schools, colleges and colleges. 6 3) In the city, about an eighth of all educational institutions are institutes. 4) There are more than 60 schools in the city. In your response, write down the numbers of the selected statements in ascending order.

Training work Reading and analyzing data presented in the form of tables Answers to tasks are a word, phrase, number or sequence of words, numbers. Write down your answer without spaces, commas

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ASSIGNMENT 14 Analysis of graphs and diagrams Rate of change of values ​​1. The graph shows the process of warming up the engine of a passenger car. The abscissa represents the time in minutes elapsed from the moment

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23 prototypes of assignment 2 Objective of the demo version: The table shows the standards for running 30 meters for 9th grade students. Boys Girls Mark “5” “4” “3” “5” “4” “3” Time, seconds 4.6 4.9 5.3 5.0 5.5

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Task 2 Determination of the value according to the graph 1. The graph shows the dependence of the torque of a car engine on the number of its revolutions per minute. The abscissa represents the number of revolutions per minute.

Dear friends! There are also a number of simple tasks for you with graphs and diagrams. Tasks about daily precipitation and average monthly temperature. All tips and points to pay attention to are given in the course of the solution. Let's look at some examples:

26871 (27523). The figure in bold dots shows the daily amount of precipitation that fell in Kazan from February 3 to February 15, 1909. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the picture what date 5 millimeters of precipitation fell for the first time? How many days from this period there was no precipitation?

We carefully look, starting from the first day, the amount of precipitation. For the first time, 5 mm of precipitation fell on the 11th.

* Please note that the specified amount of precipitation may fall two or more times. The question can be posed, for example, like this: determine from the picture on what date the second (third) time fell 5 millimeters of precipitation.

The figure shows that precipitation did not fall on the fifth, eighth, ninth and twelfth of February. Only 4 days.

Answer: 11 and 4

26876 (25528). The figure shows the daily amount of precipitation in Tomsk from January 8 to January 24, 2005. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the figure what the greatest amount of precipitation fell in the period from 13 to 20 January. Answer (give in millimeters). Determine from the figure how many days more than 2 millimeters of precipitation fell.

Here important point- immediately visually limit the graph to the 13th and from the 20th, you can close these parts of the graph with a piece of paper.

It can be seen that for the indicated period the greatest amount of precipitation was 3 mm (it was on the 14th).

Answer: 3

Let's list the days in which more than 2 mm of precipitation fell (we look carefully from the very first day of the specified period), these are: January 8, 12 and 14.

Only 3 days.

Answer: 3

26878. The figure shows the average daily air temperature in Brest every day from 6 to 19 July 1981. Horizontally indicates the day of the month, vertically - the temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure the difference between the highest and lowest average daily temperatures for the specified period. Give your answer in degrees Celsius.

The highest temperature for the specified period was 26 degrees Celsius (on the 19th), and the lowest was 16 degrees (on the 16th).

The temperature difference is 26 –16 = 10 degrees.

Answer: 10

27510. The figure shows the average monthly air temperature in Sochi for each month of 1920. The horizontal indicates the months, the vertical indicates the temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure the lowest average monthly temperature in the period from May to December 1920. Give your answer in degrees Celsius.

* Please note right away that the vertical scale division is 2 degrees, this is important.

May is the fifth month, December twelfth. We select this period for analysis (from the 5th to the 12th months) and determine the lowest average monthly temperature. It can be seen that it was in November (this is the 11th month) and was 6 degrees.

Answer: 6

263597. The figure shows the average daily air temperature in Brest every day from 6 to 19 July 1981. Horizontally indicates the day of the month, vertically - the temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure what the temperature was on July 15. Give your answer in degrees Celsius.

Answer: 19

263598. The figure shows the average daily air temperature in Brest every day from 6 to 19 July 1981. Horizontally indicates the day of the month, vertically - the temperature in degrees Celsius. For clarity, bold points are connected by a line. Determine from the figure how many days during the specified period the temperature was exactly 21 0 WITH.

During the specified period, the temperature was exactly 21 degrees Celsius:

10th, 11th, 12th and 14th.

Only 4 days.

Answer: 4

27527. The figure shows the daily precipitation in Murmansk from 7 to 22 November 1995. Horizontally indicates the date of the month, vertically - the amount of precipitation that fell on the corresponding day, in millimeters. For clarity, the bold points in the figure are connected by a line. Determine from the figure how many days from this period fell less than 3 millimeters of precipitation.

Let's list the days on which less than 3 mm of precipitation fell (we look carefully from the very first day of the specified period), these are:

7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 21, 22.

Only 14 days. Answer: 3

That's all. Success to you!

Best regards, Alexander Krutitskikh.

The teacher scolds Little Johnny:
“Can you only count to ten?” I just don’t know who you think to become ...
- Boxing judge!

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