Examples for secondary school students - page 120 of 230
Number of problems found: 4597
- Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Opportunity 7908
The school director announced that of the 250 children attending the school, every fifth student has the opportunity to participate in the excursion. Then 18% of boys and 23% of girls went on an excursion. Determine how many boys and how many girls attend - Three numbers
We have three different non-zero digits. We will create all three-digit numbers from them and use all three figures in each. We add all the made numbers and get the sum of 1554. What were the numbers? - Percentage 7896
I am selling 150 pieces for the amount of 2350 CZK. The customer is offered the same number of pieces for 1700 CZK. By what percentage is my offer higher? - Ice layer
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Completing square
Solve the quadratic equation: m²=4m+20 using completing the square method. - KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge. - Company and employees
There are 370 employees in the company - women are 15% less than men. How many men work in the company? - Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - Average temperature
The average temperature from Monday to Sunday was 40.5°F, and the average temperature from Monday to Saturday was 42.8°F. What was the temperature on Sunday? - Liters 7869
There are a total of 1309 liters of oil in the two tanks. In the second, there are 4.5 times more than in the first. How many liters of oil are in each tank? - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - The size
The sides of the trapezium are 3/4*x cm, x cm, 2*(x+1) cm and 3(x+2) cm long respectively. If its perimeter is 60cm, calculate the length of each side. - Different 7860
How many different triplets can be created from 4 pupils if it does not matter the order of the pupils in the triplets? - Mast shadow
The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines. - Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade?
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