Maximum - practice problems - page 7 of 9
Number of problems found: 177
- 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
- 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 is rectangular, 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 pillars to b
- 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) How much peat (density 350 kg/m3) can carry 15 wagons?
- 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?
- 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.
- Manufacturer 4212
How many electronic scooters should the manufacturer sell to maximize their income if the income function is given by the equation TR (Q) = -4Q2 + 1280 Q + 350?
- 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
- Diameter 4111
How many balls with a diameter of 3.25 cm with a mixture in a circle with a diameter of 27 cm?
- 9-year-old 4103
The package leaflet for the patient states that the medicine contains 7.5 mg of salt per ml solution (1 ml = 15 drops). The dosage of the drug for children is up to 4 years - maximum of four drops, from 4 to 10 years - 5 to 10 drops, and over 10 years - 1
- Daily temperature
The average daily temperature measurement for one week every day at the same hour was -2.8 °C. We measured all temperatures on different days are different. The highest daily maximum temperature was 2.4 °C, and the lowest was -6 °C. Determine the options
- Exceeding 3497
The maximum allowed speed in the village is 50km/h. The police measured that the car crossed the 800 m long section in 40 seconds. Was the driver fined for exceeding the speed limit?
- Probability 3296
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A?
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