Examples for secondary school students - page 204 of 222
Number of problems found: 4435
- Roof
Tiles are stacked in rows on the trapezoidal-shaped roof. At the ridge are 11 tiles, and each subsequent row has one more tile than the previous row. How many tiles are covered the roof if the lowermost row has 39 tiles?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost?
- Price of state
Estimate the cost of the state based on the following reasons. State price is expressed as a percentage of share in the redistribution of national GDP. Employee creates monthly value € 868 (super-gross wage). Then, tax him 35.2% employer contributions (th
- Future of libraries
You know that thanks to the Internet, electronic communications, and the development of online resources, the number of traditional readers annually declines by 17%. This is the irreversible evolutionary shift from old books from libraries to immediately
- Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply....
- Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist.
- Fraction
Fraction $e write as fraction a/b, a, b is integers numerator/denominator.
- Balls
Ping-pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls.
- Sale
If the product was twice price cut by 25%, what percentage was the price cut in total?
- Without Euclid laws
Right triangle ABC with a right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws.
- JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days.
- Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle?
- Vector
Determine coordinates of the vector u=CD if C[12;-8], D[6,20].
- Pyramid
The pyramid has a base a = 3cm and height in v = 15 cm. a) calculate the angle between plane ABV and the base plane b) Calculate the angle between the edges on the opposite side.
- Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
- Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m.
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone.
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
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