Maths practice for 14 year olds - page 336 of 382
Number of problems found: 7625
- Chimney
The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney. - Coffee shop
The coffee shop brought two types of coffee total of 50 kg. The first type was CZK 220 per kilogram, and the second type was 300 CZK per 1 kg. All the coffee traders earned CZK 12,000. How many kilograms of coffee of the first type and how many kilograms - Water reservoir
A water reservoir is filled through one inlet 4 hours longer than through both inlets, and through another inlet 9 hours longer. How long does each inlet take to fill it separately? - Ski class
The class consists of 30 boys and some girls. Ski training was attended by 28 boys and all the girls, which was 95% of all students. How many girls attend this class? How much percent is that? - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm. - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area? - Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high. - Cube from sphere
What is the largest surface area (in cm²) that a cube cut from a sphere with a radius of 26 cm can have? - Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm. - Internal and external angles
Calculate a triangle's remaining internal and external angles if you know the internal angle γ (gamma) = 34 degrees and one exterior angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles. - Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5 dm and height ha = 18 cm. Calculate the height of the prism. - Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water? - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5 cm. Solve as a construction task. - Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes? - Colour - billboard
The billboard has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of the billboard surface. - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm. - Rhombus A2p
The rhombus area is 13 cm², and its height is 5 cm long. Find the perimeter of this rhombus. - Roof tiles
The roof has a trapezoidal shape with bases of 15 m and 10 m, and its height is 4 meters. If a one-meter square should be used for eight tiles, how many tiles will be needed?
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