Maths practice for 12-year-olds - page 173 of 347

Number of problems found: 6923

Insulation
A special rubber pipe insulator is used to insulate the supply pipes of solar collectors. The product with the description DNa20, thickness 25 mm, 2 m corresponds to insulation for pipes with a diameter of 20 mm and a rubber layer thickness of 25 mm, sold
Building shadow height
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building?
Plot fence calculation
A triangular building plot is drawn on a 1:5,000 scale plan as a triangle with sides of lengths 32.5 mm, 23.5 mm, and 36 mm. Determine how many m of mesh are needed to fence the entire plot.
Hectares
The rectangular land has 3 cm and 4.5 cm dimensions on the plan with a scale of 1:40,000. Find the area of the land in hectares.
Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
The string
They cut 113 cm from the string and divided the rest in a ratio of 5:6.5:8:9.5. The longest part measured 38 cm. Find the original length of the string.
Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it became a square again. How many meters has the length of each side of the garden been extended?
Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
Poplar shadow
A nine-metre poplar casts a shadow 16.2 m long. How long a shadow does Peter cast at the same time if he is 1.4 m tall?
Dress fabric
To sew a dress, you need 2 meters of fabric 150 cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide?
Apple purchase calculation
In the autumn, the school canteen bought 50 kg of apples for 12 CZK. If the apples already cost 20 CZK, how many kilograms of apples could they buy before Christmas for the same amount?
Car distance calculation
The car will drive 70 km in 56 minutes. How many meters will he drive in half an hour?
Reading
If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read nine pages every day?
Sum of seven
The sum of seven consecutive odd natural numbers is 119. Determine the smallest of them.
Team combination calculation
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain.
Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm²
Milk cartons
How much paper do we need for 12 tetra packs with 6 cm, 11 cm, and 20 cm dimensions? Will 1 liter of milk fit in the box?
Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base.
Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long.
Can delivery calculation
They delivered the same number of cans of stuffed cabbage leaves and leche with sausage to the store. On the first day, they sold 10 cans of cabbage leaves and 85 cans of leche. So there were six times more cans of cabbage leaves than cans of leche. How m

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