Examples for secondary school students - page 147 of 230
Number of problems found: 4597
- Theatre performances
A total of 15,744 CZK was collected as admission for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance and the revenue from the third performance was 10% lower than the revenue f - Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272. - Determinant 5513
How many rows does a square matrix A have if we use Sarruss's rule to calculate its determinant? - Rectangular 5512 The rectangular matrix M contains 21 elements and has three columns. How many rows does matrix M have more than square matrix F, which contains four elements?
- 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 - Contains 5503 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? - Circumference 5493
By what percentage will the area of a square decrease if its circumference decreases by 17 percent? - 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?
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