Examples for secondary school students - page 99 of 237

Number of problems found: 4730

School pupil distribution
588 pupils attend the school. There are 10% more girls than boys. How many boys and how many girls are there?
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 400 kPa. At what depth below the surface
Anniversary age calculation
Mr. and Mrs. Smith announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Smith and Mrs. Smith if we know that Mr. Smith is nine years older than Mrs. Smith?
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 9 A, there are 15% more pupils than in 9B. In 9 C, 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
Paul received half as much money from his parents as Peter and Milo half as much as Paul. How much did all the boys get together? The parents gave Milo 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?
Triangle side ratio
A triangle with sides a, b, and c whose perimeter is 26 cm is true: ratio a:b is 4:3, and ratio b:c is 1:2. Find the lengths of the sides of this triangle.
Hemisphere cut
Calculate the spherical layer's volume that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S₆ = 63. Find the fifth element a₅.
Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume?
Paper example creation
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter?

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