Minimum - practice problems - page 4 of 6
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 107
- 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? - Cylindrical 6636
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - Three friends
Three friends had balls in a ratio of 2:7:4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0 if not, or write the minimum number of balls they had together. - 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? - 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.
- 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. - 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? - 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. - Adela number
Adela 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 lot, ten of which were blue and 10 Skoda. How many blue Skoda cars were in the parking lot? - 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 the largest volume of the box be beside the squares? - Z9–I–1
All nine fields of given shape are 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 t
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