Maths practice for 14 year olds - page 312 of 361
Number of problems found: 7215
- Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm. - Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak? - Journey
Charles and Eve stand in front of their house. Charles walks south to school at 5.4 km/h, and Eve cycles east to the shop at 21.6 km/h. How far apart are they after 10 minutes? - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Family
The family has four children. Andy is three years older than Matthew, and Karlos 5 years older than the youngest Jane. We know that they have been together for 30 years, and three years ago, they were together for 19 years. Determine how old the children - Pentagon
Within a regular pentagon ABCDE point, P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch. - 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.
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