Math practice for 13 year olds - page 377 of 422
Number of problems found: 8439
- 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? - 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? - Cows
Four cows spent 16 bags of hay in 5 days. How many bags of hay sacks are needed for five cows for seven days? - 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? - 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. - Trapezoid ABCD
ABDC is a trapezoid in which AB and CD are parallel sides measuring 6 and 9, respectively. Angles ABC and BCD are both right angles. Find the length of segment BD. - 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 - 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? - Lawns
Before a sports hall are two equally large rectangular lawns measuring 40 m and 12 m. Maintenance of a 10m² lawn costs 45 CZK yearly. On each lawn is a circular flowerbed with a diameter of 8 meters. How much money is needed each year to take on lawn care - String
Divide the string length 800 cm in ratio 1: 5 - 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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