Examples for secondary school students - page 96 of 232

Number of problems found: 4622

Paper collection calculation
In the eighth grade, the children gathered up 850 kg of paper. Class 8A collected 50 kilograms more than 8B. Class 8 C is even-handed in 200% of what class 8A is. How much paper did each class collect?
Circular dragon
The dragon has the shape of a circular section with a central angle of 40° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones?
Working together
Two people will do the work in 12 days. They worked together for eight days. Then only one worked for ten days. How many days would each of them do the work if he worked alone?
Railway line
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle?
Black diamond run
Taleah is skiing down a black diamond run. She begins skiing at the top of a ski trail whose elevation is about 8625 feet. The ski run ends toward the base of the mountain at 3800 feet. The horizontal distance between these two points is about 4775 feet.
School pupil distribution
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls go to school?
Earnings distribution calculation
John, Paul, Peter, and Jan earned 42 thousand. John and Paul have the same. Peter is 20% more than Paul. George was one-fifth less than Paul. How much did everyone earn?
An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
Compound interest 4
Peter placed 3600 dollars in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent?
Trapezoid - interior angles
In the trapezoid ABCD (AB II CD) is α = 57°, γ = 4β. Calculate the size of all interior angles.
Depth bomb explosion
Please calculate according to Pascal's law. The depth bomb used against the submarine was equipped with a hydrostat, which automatically caused it to explode at a given depth. The hydrostat was set to a pressure of 400kPa. At what depth below the surface
Anniversary age calculation
Mr. and Mrs. Novák announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Novák and Mr. Novák if we know that Mr. Novák is nine years older than Mrs. Novák?
Wheat rye sowing
Mr. Vávra sows wheat and rye for a total of 28 ha. Rye sows two and a half times the area of wheat. How many ha sow wheat and how much rye?
The angle of view
Determine the angle of view at which the observer sees a rod 16 m long when it is 18 m from one end and 27 m from the other.
Two groves
Two groves A and B are separated by a forest. Both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B if AC = 5004 m, BC = 2600 m, and angle ABC = 53° 45'?
Grade pupil distribution
There are 59 pupils in the 9th grade. In 9A, there are 15% more pupils than in 9B. In 9C, there are 20% fewer than in 9B. How many pupils are in individual classes?
Contestants
The three best contestants will divide the total prize of CZK 4,200. The second gets 20% more than the third, and the first gets 200 CZK less than the second and third together. Thus, the total prize will be CZK 4,200.
Together - parents
Pavel received half as much money from his parents as Petr and Milan half as much as Pavel. How much did all the boys get together? The parents gave Milan CZK 1,350.
Triangular prism - regular
The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism.
Permille of alcohol
I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood?

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