Maths practice for 12-year-olds - page 310 of 354
Number of problems found: 7075
- 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? - 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 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? - 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? - Lcd3
What is LCD of the equation of x/2 + 1/3=5/2? And what is x? - Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin - Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet? - Money distribution
Anna, Peter, Rado, Mišo, and Tomáš shared the amount of 250 euros in the ratio 1:1:1:1:1. Find how much each of them received. - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights.
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