Examples for secondary school students - page 153 of 237
Number of problems found: 4730
- Running track
To the Akčesú races there came 25 runners. The running track was however narrow, and therefore always only five runners could run at once. What surprised Sára and Arthur the most however was the fact that the Te-TiVá people do not have stopwatches, nor ot - Desks
A class has 20 students. The classroom consists of 20 desks, with four desks in each of 5 different rows. Amy, Bob, Chloe, and David are all friends and would like to sit in the same row. How many possible seating arrangements exist, such as Amy, Bob, Chl - Square Matrix Order Elements
How many orders are a square matrix C if this matrix contains 36 elements? - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Square Area Percentage Decrease
By what percentage will the area of a square decrease if its circumference decreases by 17 percent? - Matrix determinant value 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. - Matrix square rows 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?
- Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Ratio-cuboid
The edges of a cuboid are in the ratio 2:3:6. Its space 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 numbers
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7? - Vacation ticket
Helen and Marta want to go on vacation together. Helen 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 Helen. 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. - Twenty-two Digit Numbers From how many digits can we create twenty-two-digit numbers in which the digits do not repeat?
- Divisible numbers How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9?
- Car acceleration
A driver traveling at 72 km/h decides to overtake another car traveling at the same speed. Over a period of 4.0 seconds, he increases his speed to 90 km/h. Calculate his acceleration and the distance he covered while accelerating. - Free fall
How long does the stone fall freely into a depth of 80 m? What speed will it hit the bottom of the abyss?
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