Maths practice for 14 year olds - page 156 of 370
Number of problems found: 7384
- Hexagonal 29141
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - Diagonal BD
Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42° - Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body. - Part-time workers
Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received. - Reservoirs 29051
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third. - The leaves
Karel raked the leaves in the garden alone in 24 minutes, and his younger brother took 30 minutes. How long would they dig a garden if Karel digs alone for 6 minutes and his brother comes to his aid? - Kindergartens 29031
We bought 50 kindergartens of two types for the kindergarten - milk for 16 CZK per piece and hazelnuts for 11 CZK per piece. We paid a total of CZK 700. How many chocolates were there? - Solutions, mixtures
We have 2 liters of 20% solution available. How much 70% solution do we need to add to get a 30% solution? - Collected 28941
The boys from the science club collected 150 kg of chestnuts in three days for the winter feeding of forest animals. On Monday, they collected 10 kg more than on Tuesday. On Wednesday, after school, they picked two-thirds of the weight of chestnuts they p - Pine
At the beginning of the month, there was four times more pine lumber in the warehouse than spruce. 512 cubic meters of pine lumber and 62 cubic meters of spruce lumber were processed during the month. At the end of the month, the same amount of both types - Forty-eight 28891
Forty-eight people took part in the tour. Among them were men, women, and children. There were four more women than men and six fewer children than half of the adults. How many men, women, and children took part in the tour? - Sound speed in Earth
Through the surface layers of the Earth, sound propagates 13 times faster than through air. The charge exploded 1.7 km from the measuring station during the geological survey. How long does it take between the measuring point's soil vibration and the mome - The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume. - Big numbers
How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - Company car
Ms. Vankova has a company car equipped with a multifunction indicator to monitor the average petrol consumption during individual rides. During the first ride, mostly in city traffic, it traveled 20.5 km, with an average consumption of 7.8L/100km. In the - Sow barley
Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and, therefore, finished sowing grain in 12 days. How many hectares of land did they sow with barley? - Ratio of squares
A circle is given, and a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares? - Manufacturing 28591
A furniture manufacturing company consumes 124 cubic meters of spruce and oak lumber per month. Spruce lumber consumes three times more than oak lumber. How much spruce and oak lumber does the company use per month? - Personally 28573
At 9:00 a.m., a truck left town A at an average speed of 50 km/h to town B, 290 km from town A. In 1 hour and 20 minutes, a car drove behind him at an average speed of 75 km/h. At what time and distance from city B will the passenger truck catch?
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