# Minimum - practice problems - page 4 of 6

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 102

- 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. - Endless lego set

The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - (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 - Kindergarten 5336

Mr. Štědrý owns a store with designer clothes, and since Christmas is approaching, he has given the supplies to the kindergarten. He donated 54 pairs of pants, 81 pieces of T-shirts, and 135 pairs of socks. Every child got everything the same. How many ch - Tableau pyramid

Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the - 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? - Minimum of sum

Find a positive number that the sum of the number and its inverted value was minimal. - Summands 4213

Divide the number 28 into two summands so that their product is maximal. - Paper box

The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must beside the squares be the largest volume of the box? - Z9–I–1

In all nine fields of given shape to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in th

- Five-kilogram 4112

Fertilizer for gardeners contains the following trace elements: bor. ... ..minimum 0.3promile weight. What is the smallest weight of each trace element in a five-kilogram fertilizer package? - Rectangle 4077

We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle? - Smallest internal angle

Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - Chairlift 2886

Arrange the listed speeds from smallest to largest: Š - sprinter will run 60 meters in 7 seconds, L - chairlift passes 180 meters in 2 minutes, A - the car travels 35 km in half an hour, H - hippo, during the attack, runs 50 meters in 60 seconds. - Apples 2

How many minimum apples are in the cart? If possible, is it completely divided into packages of 6, 14, and 21 apples?

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