Maths practice for 12-year-olds - page 172 of 347
Number of problems found: 6923
- Trapezoid - construction
Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45° - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2 cm and the height of the prism h = 1 dm. - Fabric width consumption
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide? - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2) - Calculate sphere
Calculate the surface area and mass of a sphere whose volume is 707.54 cm³, made of a material with a density of 7.8 g/cm³. - Barrel and buckets
The barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height? - Mirror reflection count
If I have two plane mirrors at a distance of about 10 cm, how many times will the displayed object (pin) appear to me? - Used cars
Peter plans to buy a used car: The first car was a Renault Espace 2.0 dCi 16 V Dynamique 2006, which cost 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost - Round table
The round table has a diameter of 78 cm. A tablecloth should be sewn on it, extending around the table by 10 cm. How many centimeters of ribbons need to be bought for edging? - Hall painting time
The hall has dimensions of 60 m, 28 m, and a height of 3 m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted. - Glove order
Four apprentices worked on a glove order for 20 days. How long would it take for eight apprentices to complete the contract in the same job? - Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter. - Lathe production calculation
The lathe machined 27 parts in 9 minutes. How many of them work at the same rate per hour? - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Flowerbed transplant
In the middle of the square, they created a flower bed in the shape of an isosceles trapezoid. The parallel sides are 12 m and 8 m long. The bed is 6 m wide. How many flower transplants do they need to plant a flower bed if 4 dm² of space must be counted - Grass seed calculation
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Production people
Calculate how many people are in production, if there are 1/5 workers on the morning shift, the afternoon shift has 3/10, and 50 people will join the night shift. - Going to paint
The dimensions of the room are 3.8 and 3.4 m. The height is 2.6 m. The doors and windows together have 3.5 m². We are going to paint. The first coat with white basic we apply on the walls and ceiling. We paint with colour only the walls. Calculate how muc - Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³. - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
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