Examples for secondary school students - page 121 of 232
Number of problems found: 4622
- Pocket money savings
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 sequence calculation
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? - Block edge dimensions
How many blocks have integer dimensions of the edges if the surface is 48 m²? - Pyramid Roof Sheet Metal
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? - School Excursion Percentage
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? - Price Offer Percentage Higher
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? - Rhombus Perimeter Diagonals
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - Embankment Width Calculation
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? - Sequence term calculation
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Isosceles Triangle Circumradius
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? - Oil tank distribution
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
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