Minimum - practice problems - page 4 of 6
Directions: Solve each problem carefully. Show all your work.Number of problems found: 110
- Test scores
Jo's test scores on the first four 100-point exams are as follows: 96,90,76, and 88. If all exams are worth the same percentage, what is the minimum test score necessary on his last exam to earn an A grade in the class (90% or better)? - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed. - Summer Camp and Vacation
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? - Container height
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. - Rectangle Carpet Dimensions Perimeter
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? - Flower Vase Logic Puzzle
There are 20 flowers in the vase. There are 15 white flowers and ten roses. Are there white roses in the vase? - Pizza Plate Minimum Diameter
A pizza in the shape of a circle occupies an area of 94.985 square cm. What is the smallest integer diameter in centimeters that the plate on which we want to place this pizza must have so that the plates do not overlap - 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 distribution
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 - System equations
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.
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