Maximum - practice problems - page 6 of 9
Number of problems found: 177
- Allan
Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall. Each fish needs at least 0.5ft³ of water. What is the maximum number of fish he can keep in the aquarium? Please show your solution. Please - Smallest 7478
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color? - Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - A car
A car weighing 1.05 tonnes, driving at the maximum allowed speed in the village (50 km/h), hits a solid concrete bulkhead. Calculate the height that would have to fall on the concrete surface to make the impact intensity the same as in the first case! - Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants? - Acceleration 7147
The runner ran the track 100m in 10.2 seconds. He ran the first 20m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20m section, and what was its maximum speed?
- An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - Kocourkov 7007
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time? - Classmates
Roman is ranked 12th highest and eleventh lowest pupil. How many classmates does Roman have? - Three-shelf 6908
The boys at school were tasked with drawing a snake according to the assignment, each snake consists of several shelves. Michal had to build a snake from 5 three-shelf parts, Adam from 4 four-shelf parts, and Andrew from 7 two-shelf parts. Did the snake h - Vacation 6692
There are 22 pupils in the class. During the holidays, nine students will go camping. Fifteen pupils will go on holiday together with their parents. How many students will go to summer camp and a family vacation? - 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. - State border
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?
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