Maths practice for 14 year olds - page 332 of 379
Number of problems found: 7578
- Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420? - Height difference
What height difference is overcome if we pass a road 1 km long with a pitch of 21 per mille? - Win in raffle
The raffle tickets were sold to 200, 5 of which were winning. What is the probability that Peter, who bought one ticket, will win? - Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter. - Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent? - Water container
The container with water weighs 1.48 kg when we cast 75% of the water content of water weight 0.73 kg. How heavy is an empty container? - Ski tow
The ski club has 168 pupils and uses a lift with 60 seats. Students always follow the same sequence in filling seats. How often does a skier sit in the same seat as the first run while riding a ski lift?
- RT leg and perimeter
The right triangle ABC with hypotenuse c has the length of a leg a= 84 and the perimeter of the triangle o = 269. Calculate the size of the sides of the triangle ABC. - 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
The water reservoir is filled through one inlet 4 hours later than both, then another 9 hours later. For how long is each filled out 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 largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm? - 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 2,5dm and height ha = 18cm. Calculate the height of the prism.
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