Maths practice for 12-year-olds - page 266 of 307
Number of problems found: 6133
- Lawn and garden
The garden around the new house is divided as follows: 30% flowers, 35% orchards, and 150 m² form a lawn. What is the total area of the garden?
- Welders
The welder does the job for six hours, the second one for 8 hours. How long do the job third welder, if all together can do the job in 2 hours?
- Trees
3/5 trees are apples, and cherries are 1/3. Five trees are pears. How many is the total number of trees?
- 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 2566
Calculate the area of a regular hexagon with side a = 2cm
- Components 2565
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?
- Three-fifths 2562
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?
- Kilograms 2561
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 a kite, which is diamond-shaped. 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?
- Uncollected 2549
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?
- Calculate 2548
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 ring activities. What part of the class does not attend the circle?
- 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.
- 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 2540
The flowerbed has a diamond shape with side a = 35 dm. The longer diagonal is 56 dm long. Calculate the area of the flowerbed.
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