Examples for secondary school students - page 160 of 230
Number of problems found: 4597
- Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Perimeter - ASA theorem
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees. - Concentration - salt solution
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - Determine 4414
Determine how many rows the 7th-order square matrix contains. - Third-order 4413 Determine how many elements a third-order square matrix contains.
- Cuboids
Two separate cuboids with different orientations are in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633) - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Dataset
Data: 11,15,11,16,12,17,13,21,14,21,15,22 Find the dispersion of a given dataset. - Teachers 4379
The hostel has 90 people; There are three times more boys than girls, and there are 70 fewer teachers than boys and girls together. How many teachers are there? - Medians and sides Triangle ABC in the plane Oxy has the coordinates of the points: A = 2.7 B = -4.3 C-6-1 Try to calculate the lengths of all medians and all sides.
- Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Kilograms 4361
From two types of coffee for 450 CZK and 730 CZK per 1 kg, our task is to prepare 20 kg of the blend at a price of 520 CZK per kg. How many kilograms of each type of coffee will be needed to make such a blend? - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km. - Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Expensive 4338
He bought a T-shirt, a tie, and a shirt. The tie was three times cheaper than the shirt, and the T-shirt was 70 CZK more expensive than the tie. He paid a total of 470 CZK. How much did he pay for a tie, a T-shirt, and a shirt?
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