Maths practice for 12-year-olds - page 170 of 351

Number of problems found: 7018

Barrel paint calculation
How many kg of paint do you need to buy to paint a 1.5 m high cylinder-shaped rainwater cover with a 0.7 m radius? We paint the barrel from the outside and inside, and 100 grams of paint is needed to paint 1 square meter.
Floor varnish calculation
During the reconstruction of the apartment, Mr. Čakaj needed to varnish the floors in two rectangular rooms with dimensions of 6.8 m x 4.5 m and 6 m x 3.8 m. How many cans of paint did he have to buy if he painted 6 m² of the floor with one can?
Height of the triangle
What is the height of the triangle with 7.8 cm² and the side a = 5.2 cm. (Calculation and procedure)
Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure)
Six painters
Six painters paint an area of 120 m² in 4 hours. How long does it take for 12 painters to paint 480 m² with the same performance?
Worker earnings calculation
Twelve workers earned 2,000 euros in 10 days. How many workers would 14 workers earn in 8 days?
Pool painting calculation
We will paint the block-shaped pool, with the dimensions of the bottom a = 25 m and b = 15 m and the height c = 3.5 m. If one kg is enough for five square meters of paint, how many kg of paint will we need?
Ice floe
What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m³.
Independent variable
Separate the variable x1 and move all members of the mathematical notation: (2 x1+x2+x3)=3y+z to the other side.
A cliff
A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff?
Tank volume surface
The welded sheet metal tub is shaped a prism with dimensions of 6x2x2 m. How many m³ of water can fit in it, and what is its surface?
Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. "How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have?
Typist page calculation
The typist typed 16 pages of text in 2 hours and 8 minutes. How many pages of text will you write at the same speed in 20 minutes?
Everyone drinks the same
Twenty-four bricklayers drink 72 bottles of beverages per day at a construction site. How many bottles would 19 bricklayers need? Assume everyone drinks the same amount.
Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 metres long, 2 metres wide, and 1.5 metres high to make it easier for the builders to reach the secon
Hangar air volume
How many cubic meters of air is in an empty half-cylinder-shaped aircraft hangar if the hall is 30 m long and 12 m high at the highest point?
Two gears
Two gears with 13 and 7 teeth rotate locked into each other. We want both wheels to be in the starting position again. How many turns does a big wheel have to make?
Car motorcycle meeting
The distance is 77 km. A car at 100 km/h and a motorcycle at 80 km/h will run against him for half an hour. Later. When will they meet?
Circular park
The circular park has an area of 1600 m². Cross the park, right in its center, leads the trail. What is the length of the trail?
Electric resistance calculation
What resistance must the electric element have to pass through a current of 4.4 A at a voltage of 220 V?

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