Maths practice for 14 year olds - page 323 of 368
Number of problems found: 7348
- Alfa, beta, gama
In the ABC triangle, is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and the size of the internal angle GAMA is twice the size of the angle BETA? Determine the size of the interior angles of the triangle AB - Meadow
On the meadow, there are horses, cows, and sheep grazing together with less than 200. If cows were 45 times more, horses 60 times more, and sheep 35 times more than there are now, their numbers would equal. How many horses, cows, and sheep are in the mead - Garden
The garden is rectangular and has lengths of 25 and 40 meters. It has been expanded so that each size increased by one-fifth. How many square meters increased its acreage? - Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond. - Exchange rate - currency
The exchange rate list in the table is an exchange office, but question marks replace some values. The exchange office exchanges money at the rates quoted and does not charge any other fees. nákup prodej 1 EUR 26,20 CZK 28,00 CZK 1 GBP b=? CZK c=? CZK 1. - Cube 6
The volume of the cube is 216 cm³. Calculate its surface area. - Cube containers
Two containers shaped as cubes with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube? - Train slowing down
The train slowed down from 90 km/h to 72 km/h in 5 seconds. What distance did it go? - Calculate deltoid
Calculate the diagonals in the deltoid with sides of 10, 10, and shorter 6, 6 cm. - Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle. - Sweets
Three chocolates and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes? I wonder how to get the result, but only by logic, without using a system of equations. - MO circles
Juro built the ABCD square with a 12 cm side. In this square, he scattered a quarter circle with a center at point B passing through point A and a semicircle l with a center at the center of the BC side and passed point B. He would still build a circle th - Regular octagon
Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S'): ABCDEFGH - A'B'C'D'E'F'G'H'. - TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have - Apprentice
The worker and apprentice execute the work for 6 hours. The worker performs himself in 10 hours. How long does the work of an apprentice take? - Amazing number
An amazing number is a name for such an even number, the decomposition product of prime numbers has exactly three, not necessarily different factors, and the sum of all its divisors is equal to twice that number. Find all the amazing numbers. - Shepherd
The shepherd has fewer than 500 sheep; where there can be up to 2, 3, 4, 5, or 6 rows, there is always one remaining, and it can be increased up to 7 rows of sheep, and it is not increased any ovine. How many sheep have a shepherd? - Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will is its speed? - construction triangle problem
Construct the vertices C of all triangles ABC, if given side AB, height vb on side b, and length of line tc on side c. Build all the solutions. Mark the vertices C1, C2,. .. - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid.
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