Maths practice for 14 year olds - page 128 of 378
Number of problems found: 7553
- Inscribed 43991
An irregular convex octagon is inscribed in the circle. Its four adjacent sides have a length of 3, and the remaining four adjacent sides have a size of 2. What is the area of a given octagon?
- Per shift
Two cars take beets from the same field to the sugar factory. Both drive at the same average speed. A car with mechanical tipping needs 15 minutes to travel to the sugar factory and back. A car that does not have mechanical tipping needs 6 minutes longer
- Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn?
- Quadrilateral 43941
Calculate the surface of a 3.5 m high quadrilateral pyramid with a rectangular base with dimensions of 3 m and 1.8 m.
- A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus?
- Acceleration 43881
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64km/h and also states how long it takes for the vehicle to travel every one meter.
- Followed 43871
At 6.40, a cyclist started from the station at a speed of 12 km/h. At exactly 10:00, the car followed him at a speed of 84 km/h. What time does the car catch the cyclist?
- Truncated 43851
The pit is a regular truncated 4-sided pyramid, with 14 m and 10 m base edges and a depth of 6m. Calculate how much m³ of soil was removed when we dug this pit.
- Movement 43831
The crane motor has a constant power of 9 kW. With constant movement, how long does it take to lift a body weighing 12 tons to a height of 9 m?
- Reservoir 43821
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²?
- THE FARM
Hens, goats, and three cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm?
- Marked 43771
The pool is 50 m long and 20 m wide. How will it be marked on the plan on a scale of 1:200?
- Pedestrian 43761
From two places, A and B, 27 km apart, a pedestrian will simultaneously walk at a speed of 6 km/h from place A and a cyclist at a rate of 24 km/h from place B. At what distance from place A will they compete?
- Rectangular 43751
The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate?
- Acceleration 43731
The car starts with constant acceleration, and at a distance of 567 m, it has a speed of 12.6 m/s. How long will it take from the start?
- Mechanical 43721
A body weighing 2 kg falls from a height of 45 m in a free fall. What will be its potential energy and total mechanical energy after 2 s from the beginning of the movement?
- Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
- Acceleration 43691
The car reaches a steady acceleration in 24 seconds from a standstill speed of 100 km/h. What runways will he reach on departure?
- The inheritance
Dad initially decided to bequeath the money to his two sons so that they would share it 8:7 (older and younger). Then, he changed his mind and divided the same amount into a ratio of 11:9 (older and younger). This step increased the inheritance value for
- Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm.
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