Examples for secondary school students - page 192 of 230
Number of problems found: 4586
- Friends
Some friends had to collect the sum of 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends? - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Password dalibor
Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes these two changes. How many opportunities do you have a choice? - Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Triangle IRT
An isosceles right triangle ABC with a right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB. - Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Boletus and cossacks
Paul has 8 dry boletus, 1/2 less oak boletus, 5x more cossacks than butter mushrooms. He has 3x more cossacks and butter mushrooms together than dry boletus. How many mushrooms does he have in total? And how many butter mushrooms and how many cossacks? - Railway
The railway line climbs 8 permille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 permille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - Locomotive
Locomotive pulled a permanent train load of 200 kN horizontally along the track of 5km. What work has it done? - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Win in raffle
The raffle tickets were sold to 200, 5 of which were winning. What is the probability that Peter, who bought one ticket, will win? - Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent? - RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 226. Calculate the size of the sides of the triangle ABC. - Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney. - Coffee shop
The coffee shop brought two types of coffee total of 50 kg. The first type was CZK 220 per kilogram, and the second type was 300 CZK per 1 kg. All the coffee traders earned CZK 12,000. How many kilograms of coffee of the first type and how many kilograms - Water reservoir
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out separately? - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - Jar
The jar has the shape of a cylinder. Height of jar h = 8 cm, and jar diameter D is 8 cm. After rolling the pot, some water spilled, and the water level accurately reached half of the base. The water level makes a parabola with the same diameter. How to ca
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