Maximum - practice problems - page 6 of 9
Number of problems found: 164
- Electrified 6472
The electrified carpet was rectangular, 16 square meters in area, and no two points on it were more than 7 meters apart. What different circuits can carpets that meet these conditions have? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Sand
The maximum weight of the car is 5000 kg. We must transfer 10 m³ of sand. How many times does a car have to go? (density of sand is 1500 kg/m3) - Flowers 6229
There are 20 flowers in the vase. There are 15 white flowers and ten roses. Are there white roses in the vase?
- Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - (shortest) 5654
The length of the state border of the Czech Republic with Germany is 815 km, with Poland 713 km, Slovakia 265 km, and Austria 443 km. With which state do we have the longest (shortest) common border? How many kilometers are our state borders in total? - On Children's
On Children's Day, the organizers bought 252 chewing gums, 396 candies, and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way. - Different 5402
Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she
- Temperature 5259
The television tree frog announced such a forecast the following day. At six o'clock in the morning, we expect a temperature of -3°C, but during the day, it will warm up to 11°C. Determine what maximum temperature we can expect the next day according to t - Garden
The garden has the shape of a rectangle measuring 19m 20cm and 21m 60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent - Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o - Railway wagon
The railway wagon holds a 75 m³ load. The wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagon - Equations 4781
Determine the smaller root of the root pair of the system of equations. 5a + 4b = 11 3a - 2b = 11
- Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Skoda cars
There were 16 passenger cars in the parking. It was the ten blue and 10 Skoda cars. How many are blue Skoda cars in the parking? - Capacity 4296
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests. - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - Summands 4213
Divide the number 28 into two summands so that their product is maximal.
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