OGE 2022 Yashchenko 7 option FIPI school full analysis!
We solve the 7th version of Yashchenko OGE 2022 of the FIPI school collection, 36 versions. Analysis of all tasks. We are preparing for the OGE in mathematics! Analysis of OGE tasks from the Yashchenko collection for 2022 of the FIPI school, 36 versions.
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OGE in mathematics; OGE mathematics 2022; OGE 2022 Yashchenko; Yashchenko 36 typical versions; Mathematics 9th grade; Preparation for the OGE 2022; OGE; Pass the OGE in mathematics; OGE algebra; OGE geometry;
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Timings:
00:00:00 - introduction
00:00:14 - The picture shows a plan of the countryside. Tanya comes to visit her grandfather in the village of Antonovka during the summer holidays (marked with the number 1 on the plan). At the end of the holidays, the grandfather is going to take Tanya by car to the bus station, which is located in the village of Bogdanovo. You can drive from Antonovka to Bogdanovo along a country road along the river. There is another way - along the highway to the village of Vanyutino, where you need to turn left at a right angle onto another highway leading to Bogdanovo...
1) Using the description, determine what numbers on the plan indicate the villages. Fill in the table, transfer the sequence of four numbers without spaces, commas and other additional symbols to the answer sheet.
2) Find the distance from Antonovka to Bogdanovo in a straight line. Give your answer in kilometers.
3) How many minutes will Tanya and her grandfather spend on the road from Antonovka to Bogdanovo if they go through Yegorka and Zhilino past the stables?
4) In what least number of minutes can Tanya and her grandfather get from Dolomino to Goryunovo?
5) On country roads, the grandfather's car uses 8.2 liters of gasoline per 100 km. It is known that it needs the same amount of gasoline for the road from Antonovka to Bogdanovo through Vanyutino and the road straight ahead. How many liters of gasoline per 100 km does grandfather's car use on the highway?
00:09:54 - Find the value of the expression 7.2 / (8.3 - 8.6)
00:10:16 - Between which integers is the number 170/19 contained
00:10:41 - Find the value of the expression sqrt (1 / 25 * x ^ 4 * y ^ 8), with x = 5, y = 2
00:11:38 - Find the root of the equation: 7 + 8x = - 2x - 5
00:12:08 - On average, 51 out of every 60 batteries on sale are charged. Find the probability that a battery chosen at random in the store is not charged.
00:12:41 - The figures show the graphs of functions of the form y = ax ^ 2 + bx + c. Establish a correspondence between the graphs of the functions and the signs of the coefficients a and c.
00:13:56 - The radius of a circle inscribed in a right triangle is calculated using the formula r = (a + b - c) / 2, where a and b are the legs, and c is the hypotenuse. Using this formula, find c if a = 20, b = 21, and r = 6.
00:13:18 - Provide a solution to the inequality 5x - x ^ 2 is greater than 0
00:14:55 - During a biological experiment, a colony of microorganisms weighing 3 mg was placed in a Petri dish with a nutrient medium. Every 20 minutes, the mass of the colony increases 3 times. Find the mass of the colony of microorganisms 80 minutes after the start of the experiment. Give your answer in milligrams.
00:16:24 - In triangle ABC, it is known that AB = 5, BC = 10, AC = 11. Find cos ABC.
00:17:17 - Two lines are drawn through a point A lying outside the circle. One line touches the circle at point K. The other line intersects the circle at points B and C, where AB = 4, AC = 64. Find AK.
00:18:08 - The bases of the trapezoid are 8 and 18, and the height is 5. Find the midline of this trapezoid.
00:18:31 - A figure is drawn on graph paper with a cell size of 1 x 1. Find its area.
00:19:03 - Which of the following statements are true?
The length of the hypotenuse of a right triangle is less than the sum of the lengths of its legs.
In an obtuse triangle, all angles are obtuse.
The midline of the trapezoid is equal to half the sum of its bases.
In your answer, write down the numbers of the selected statements without spaces, commas, or other additional symbols.
00:19:31 - Solve the system of equations (x-8)(y-9)=0; (y-5)/(x+y-13)=4
00:21:14 - The distance between docks A and B is 45 km. A raft went down the river from A to B, and an hour later a motorboat followed it, which, having arrived at point B, immediately turned back and returned to A. By this time the raft had sailed 28 km. Find the speed of the boat in still water if the speed of the river current is 4 km/h.
00:23:14 - Plot the graph of the function y=4|x+2|-x^2-3x-2. Determine for what values of m the line y=m has exactly three common points with the graph.
00:28:07 - Point H is the base of the altitude drawn from the vertex of the right angle B of triangle ABC to the hypotenuse AC. Find AB if AH = 4, AC = 16.
00:29:26 - Through the point O of intersection of the diagonals of parallelogram ABCD, a straight line is drawn intersecting the sides BC and AD at points K...