Examples for secondary school students - page 147 of 230
Number of problems found: 4582
- Determinant 5492
The determinant of matrix C is equal to 12. What will the value of the determinant of matrix F be if we know that matrix F is the opposite matrix of matrix C? - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Contains 5488 The given is the unit matrix A, which contains three rows. How many rows will matrix B have, which arises as to the square of matrix A?
- Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder?
- Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Available 5472
Alena and Marta want to go on vacation together. Alena lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Alena. How much does a ticket cost? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Two-digit 5457 From how many digits can we create twenty-two-digit numbers in which the digits do not repeat?
- Divisible 5454 How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9?
- Acceleration 5451
The driver of a car traveling at a given moment at a speed of 72 km/h decides to overtake a car traveling at the same speed. Therefore, during 4.0 seconds, increase the speed to 90 km/h. Calculate how big his acceleration was and what path he covered when - Free fall
How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?
- Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Equations 5445
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition? - Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
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