Examples for secondary school students - page 99 of 229
Number of problems found: 4578
- Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Power line pole
From point A, the power pole is visible at an angle of 18 degrees. From place B, which we reach if we go from place A 30m towards the pillar at an angle of 10 degrees. Find the height of the power pole. - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double? - Percents from percent
How much is 13% of 20% of 500 greater than 8% of 14% of 200? - Four-element combinations
How many four-element combinations can we make from 10 elements? - The university
At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the - Lemonade
Iva added one liter of 100% fruit juice to three liters of water, leaving two liters for Alice and Beata. She then added two more liters of water to the remaining two liters of lemonade and offered it to other friends. a. What percentage of juice did Alen
- Combinations 16283
How many elements is it possible to form twice as many second-class combinations as a fourth-class combination? - Raindrops
The train runs at a speed of 14 m/s, and raindrops draw lines on the windows, forming an angle of 60 degrees with the horizontal. What speed do drops fall? - Delegation - b&g
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Capacity 16253
The barrel is filled with water to 65% of its capacity. After adding three 10-liter buckets of water, the filling capacity of the barrel is already 77%. How many liters of water will fit in the barrel? - Possible 16243
There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter? - Determined 16233
How many lines are determined by 5 points if three lie in one line? - Calculate 16223
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Combinations 16213
From how many elements is it possible to create 120 second-class combinations?
- Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. - Free space in the garden
The grandfather's free space in the garden was in the shape of a rectangular triangle of 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. The smaller part creates a rock garden, for the larger sows - Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took a bank loan for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month?
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