Examples for secondary school students - page 196 of 223
Number of problems found: 4443
- Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4]. - Logistics
The Head of the logistics department informed the meeting of the management that the same item is currently not available in sufficient quantity in all three warehouses of the company. We have a total of 135 pieces. It was 37 pieces more in warehouse No 3 - Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group?
- Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis. - Nuts, girl and boys
Milena collected fallen nuts and called a bunch of boys to let them share. She took a condition: the first boy takes one nut and a tenth of the rest, the second takes two nuts and a tenth new rest, the third takes three nuts and a tenth new rest, and so o - Unknown number
An unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • The difference between the first and second prime numbers is half the difference between the third and second prime - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Target
Peter, Martin, and Jirka were a fire in a particular target, with only three fields with values of 12, 18, and 30 points. All boys were firing with the same number of arrows, and all the arrows hit the target, and the results of every two boys differed by
- Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution. - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
- Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers. - Mystery of stereometrie
Two regular tetrahedrons have surfaces 68 cm² and 153 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Snowman 2
On the medal, which has the shape of a circle with a diameter 18 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)?
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
