Maths practice for 12-year-olds - page 311 of 347
Number of problems found: 6923
- Lawns
Before a sports hall are two equally large rectangular lawns measuring 40 m and 12 m. Maintenance of a 10 m² lawn costs 45 CZK yearly. On each lawn is a circular flowerbed with a diameter of 8 meters. How much money is needed each year to take on lawn car - Water tank
A cuboid-shaped water tank has a base measuring 7.5 metres by 3 metres. How high will the water reach if 10 litres of water flow in per second and the inlet is open for 5/6 of an hour? (Round the result to one decimal place and express it in metres.) - Pumps
Six pump fills the tank for three and a half days. How long will fill the tank with seven equally powerful pumps? - Apples
Mr. Smith brought 48 kg of his own apples to the market, along with 40 kg from Mr. Brown and 72 kg from Mr. Novak. They earned a total of 1,920 CZK. How should the income be divided among them? - String
Divide the string length 800 cm in ratio 1: 5 - The exhibition
The teacher charged 280 CZK for four students' admission to the exhibition. How many students were at the exhibition? Hint: the admission cost is a whole number. - Lesson exercising
In the lesson on physical education, pupils are first divided into three groups so that each has the same number. They redistributed, but into six groups. And again, it was the same number of children in each group. Finally, they were divided into nine eq - Rabbit family
The rabbit family ate 32 pieces of carrots. The small one ate six pieces, and the dad five more than the mother. How many pieces did Mom eat? - Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm. - Wood
Wood density is 0.6 g/cm³. How many kilograms weigh one m³ of wood? - Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm. - Angles in triangle
Calculate the angle alpha in the triangle if the beta is 61 degrees and 98 gamma degrees. - Internal and external angles
Calculate a triangle's remaining internal and external angles if you know the internal angle γ (gamma) = 34 degrees and one exterior angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles. - Circle - easy 2
The circle has a radius of 6 cm. Calculate its diameter, perimeter, and area: - Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5 cm. Solve as a construction task. - Bicycle wheel
A bicycle wheel has a diameter of 62 cm. How many times does it rotate over a 1 km road? - Circle - simple
Calculate the area of a circle in dm² if its circumference is 31.4 cm. - Circle from string
Martin has a long 628 mm string. He makes a circle from it. Calculate the radius of the circle. - Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes? - Colour - billboard
The billboard has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of the billboard surface.
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