Examples for secondary school students - page 74 of 212
Number of problems found: 4239
- Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? The prize for 15 participants in the competition? - Distributed 7694
The children have 568 cards distributed as follows: Jano and Mišo in the ratio of 3:7 and Mišo and Laco in the ratio of 3:5. How many cards does Mišo have? - Circumference 7686
The circumference of the isosceles trapezoid is 34 cm. The difference in the length of the bases is 6 cm. The arm's length is one-third of the length of the longer base. Find the lengths of the trapezoidal sides. - Increased 7685
There are 2 more pupils in the 7th grade than in the 8th grade. If the number of pupils in the 7th grade increased by 7 and the number of pupils in the 8th grade increased by a third of the original number, there would be the same number of pupils in both - Circumference 7655
The triangle has a circumference of 35 cm. One side is four times longer than the other and, at the same time, 1 cm longer than the third. Determine the sides of the triangle. - Two-digit 7607
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Spectators 7562
The theater has the shape of a semicircle. A podium is the diameter of a semicircle. Spectators K, L, M, N, and O, sit around the perimeter. Who sees the podium at the greatest angle? - Everyone 7196
Filip had two more balls than Jarda, and Milos had twice as many as Filip. They had a total of 33 balls. How much did everyone have? - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Resistance 6626
Two resistors of 20 Ω and 30 Ω are connected in the electrical circuit. a, Calculate the total resistance in the electrical circuit if the resistors are connected in series. b, Calculate the total resistance in the electrical circuit if the resistors are - Principal 6066
After a year, little Katka was on a passbook of thousands of euros. What was the annual interest rate in the bank, and the principal was 957 euros? - Divisible 5454
How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9? - Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Intersect 5216
At how many points do ten lines intersect if no two are parallel? - Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows? - ----------------- 4850
v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Intensity 4244
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will be the beam's intensity after passing through a ten times stronger plate? - Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle.
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