Examples for secondary school students - page 104 of 213
Number of problems found: 4253
- Boys and girls
There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them? - Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - November 7918
Zuzana receives pocket money from her parents. In October and November, she managed to save 32 euros. The ratio of cash held in October and November is 6: 2. How much did she save in October and November? - Arithmetic 7917
The arithmetic sequence is given: Sn = 222, n = 12, a1 = 2. Determine d, a12. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Dimensions 7912
How many blocks have integer dimensions of the edges of the surface is 48 m²? - 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 digits numbers from them to 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 has an offer for the same number of pieces for 1700 CZK. By what percentage is my offer higher? - Circular 7894
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?
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