Examples for secondary school students - page 185 of 223
Number of problems found: 4448
- Equation with abs value
How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool? - Pupils
Four pupils are going via the dark hall. Start at one side and have to get to the other side for 17 minutes. They have only one lamp for the trip. The corridor is narrow. They can go up two pupils at a time and at a slower speed. Each pupil went different - Characteristics 2104
Betka thought of a natural number with different digits and wrote it on the board. Podeň wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the inte
- Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - Three numbers
Find three numbers so that the second number is four times greater than the first and the third is lower by five than the second number. Their sum is 67. - 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 - Buttercups 2031
Paul has eight dry mushrooms, 1/2 fewer oaks, and cossacks, five times more than buttercups. Cossacks and buttercups have a total of 3 times more than dry mushrooms. How many mushrooms do they have together? And how many buttercups 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?
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent?Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
