Maths practice for 14 year olds - page 332 of 382
Number of problems found: 7625
- Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of their car's dipped-beam lights, Peter stopped the car 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the wall d - Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Property
The length of the rectangle-shaped property is 8 meters, less than three times the width. If we increase the width by 5% of the length and the length by 14% of the width, the property perimeter will increase by 13 meters. How much will the property cost p - 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
A train slowed from 90 km/h to 72 km/h in 5 seconds. What distance did it travel during this time? - 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
George 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 - 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 a rectangular swimming pool is 6,998.4 hectolitres. A promotional leaflet states that if all the pool water were to fill a regular quadrilateral prism with a base edge equal to the average depth of the pool, the prism would have to - Apprentice
A worker and an apprentice can complete a job together in 6 hours. The worker alone can finish it in 10 hours. How long would the apprentice take alone? - 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
A shepherd has fewer than 500 sheep. When lined up in rows of 2, 3, 4, 5, or 6, there is always one remaining. However, they can be lined up in rows of 7 with none left over. How many sheep does the shepherd have?
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