Maximum - practice for 14 year olds
Number of problems found: 37
- Calculate 81492
Jirka went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if Jirka drove at - Automatically 80704
The electric circuit breaker automatically switches off the circuit of the 220 V electrical network at a current of 6 A. Determine the maximum power in the protected circuit. - Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Processing 65514
The Nováková family took a loan (loan) of 120,000 euros from the bank. What was the amount of the fee for processing, setting up, and providing the loan if, according to the bank's fee schedule, it is 0.80% of the loan volume, but at least 250 euros and a - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - A paint
A paint tin is a cylinder of 12cm and a height of 22 cm. Leonardo, the painter, drops his stirring stick into the tin, and it disappears. Work out the maximum length of the stick. - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Jewelry factory
In a jewelry factory, three assemblers make beaded necklaces. Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hours of the day and then slow down to 16 necklaces for the rest of the day. Yara can make 2 - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK more expensive than a kilogram of chicken. How many CZK cost one kilogram of chicken meat so that the price of one kilogram of meat of two colors - Assignment 34461
The travel agency has reserved 14 triple or quadruple rooms in the hotel for two weeks in July. How many families of three and how many families of four can sign up for the tour if the maximum number of occupied seats in the bus is 50? Assignment and solu - Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Short-circuit 22841
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Specify: source terminal voltage, the internal resistance of the source, maximum short-circuit current. - Oscillation 17313
The period of the natural oscillation of the railway car is 1.25s. The length of the rails is 25 m. At what speed does the vibration, caused by the impact of the wheels on the joints between the rails, reach a maximum? Give the result in m/s. - Theoretically 15883
Pictured is a pie chart showing how the four mayoral candidates are doing after 80% of the vote has been counted. A candidate ID no can theoretically obtain the maximum percentage of votes. 3 after counting all the votes? - TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Quadrilateral 8405
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial. - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup?
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