Math practice for 13 year olds - page 361 of 424
Number of problems found: 8476
- Internet households
There are 600 households in a certain village. Last year, three-fifths of them had an Internet connection. This year, the number of households connected to the Internet increased by 40. What proportion of households has an Internet connection this year? - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Kite
John has a kite, which is diamond-shaped (rhombus). Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - Stock materials
The company has an actual stock of materials of EUR 1,568,900, of which 8.6% is accounted for by excess stock. How much is Eur? - Penalty fine
The supplier charged the customer a fine (penalty) of 6.5% of the price of the goods. The uncollected goods at the price of EUR 15,500. How much is Eur? - Box volume
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm. - Circle chord
Calculate the length of the chord of the circle with radius r = 10 cm, the length of which is equal to the distance from the circle's center. - Equation - animals
There are a total of 35 hens and rabbits in the yard. They have a total of 94 feet. Calculate (by equation) how many hens there are in the yard and how many rabbits. - Embankment
The perpendicular cross-section of the embankment around the lake has the shape of an isosceles trapezoid. Calculate the perpendicular cross-section, where the bank is 4 m high, the upper width is 7 m, and the legs are 10 m long. - Flowerbed area
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed. - Potato yield
The farm produced an average of 16.8 tons of potatoes per hectare. They had a 7% higher yield on state property. What was the average yield per hectare on state property? - Whistle fit
Peter wants to hide a 60 cm long whistle in a shoebox that measures 25 cm x 48 cm x 21 cm. Will he make it? - Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? - Mast height
The high voltage mast fastens 30 m long ropes at 2/3 of the mast height. How tall is the mast if the ropes anchor at 15 m from the mast? - Original price
By using it, the machine's price fell by 37% to 104,454 euros. What was its original price? - Dough weight
A baker made 496 kg of dough from 356 kg of flour. What percentage of the dough's weight was the flour? - Veal weight
The weight of the veal obtained is 64% of the total weight of live calves. What was the weight of the live calves, from which 16,830 kg of veal were obtained? - Plastering plan
The mason was to plaster 24.2 m² of the wall in 12 shifts. At what percentage did he meet the plan when plastering 306 m² of walls?
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