Maths practice for 12-year-olds - page 334 of 350
Number of problems found: 6996
- The bridge
Across the circle, the lake passes through its center bridge over the lake. At three different locations on the lakeshore are three fishermen, A, B, and C. Which of the fishermen sees the bridge from the largest angle? - Trapezoid ABCD
Calculate the perimeter of trapezoid ABCD if we know the side c=12, b=19, which is also a height, and side d=32. - Flowerbed
On the flowerbed were planted 280 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism. - The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 166 cans of corn, leaving 5 times more peas than corn cans. How many cans of each kind were in the store? - Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together? - Arc
The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc? - Machines
There are three machines in the workshop. The first treats 250 parts for 4.7 hours, the second treats 300 parts for 1.9 hours, and the third treats 230 parts for 4.6 hours. How long will it take to make 3100 parts if all three machines are worked simultan - Rectangles - sides
One side of the rectangle is 10 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 14 cm increases the rectangle area by 130 cm². What are the dimensions of the original rectangle? - RT 10
The area of the right triangle is 84 cm², and one of its catheti is a=10 cm. Calculate the perimeter of the triangle ABC. - Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality? - Pool coating
How many tiles 25 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 30 m × 5 m if the pool can fit up to 271500 liters of water? - Motor physics
A car is traveling at 104 km/h on the highway. The pulling power of the motor is 10 kN. Find the engine power in kW. - Ratio
Unfold number 3690 in the ratio 15:11:4. - Parquet floor
Three workers laid the parquet floor for 2.301 hour. The first would do this work alone 7 hours, the second in 6 hours. For how many hours would this work for the third worker if he worked alone? - Inflow - outflow
The tank will fill by inflow for 56 minutes and empties by outflow for 77 minutes. How long does it take to fill the tank if it is open to inflow and outflow? - OPT
What is the perimeter of a right triangle with the legs 11 cm and 24 cm long? - Air
The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person? - Triangle radians
The size of two internal angles of a triangle ABC is α=6/18π and β=7/18π. Calculate the size of the third angle. - Metallurgical enterprise
Metallurgical company daily produces 501 tons of cast iron. How many tons of coke does it burn to melt cast iron when 14 tons of cast consumes 10 tons of coke?
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