Maths practice for 12-year-olds - page 312 of 359
Number of problems found: 7168
- Backpack carrying
Alex, Charles, and Simon went on a trip at 6:45. They arrived at the finish line at 9:15. They carried one backpack with them and took turns after 20 minutes. Charles carried the first section, and at 8.30 by Simon. a) Who carried the backpack in the seco - Area decrease
If the area of the square decreases by 19%, by how much percent does the side of the square decrease? - Farmland
Farmers seeded maize to 45 ha, which is 15% of their total farmland. How many hectares of fields do they have? - Calculate hexagon
Calculate the area of a regular hexagon with side a = 2 cm. - Component weight
The component is a regular decagon with a side of 2 cm. Its material weight of 1 m² of sheet metal is 24 kg. What is the weight of 200 components? - 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? - Cake flour
They baked 325 cakes with 25 kg of flour. How many kilograms of flour do they need to bake 195 pieces of such cakes? - Master and apprentice
Master painted the roof in 3 hours and apprenticed for 4 hours. How many roofs do they paint an hour, and how many in three-quarters of an hour? - 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? - 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. - Students activities
There are 28 students in the class. Twenty-one of them are involved in student club activities. What part of the class does not attend the student club? - 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. - Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km. - 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? - 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? - Machines 2
Two machines produce 2,000 products in 50 hours. How many machines do you need to buy to make 15,000 products in 30 hours?
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