Math practice for 13 year olds - page 207 of 431
Number of problems found: 8620
- Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called? - Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - Quadrilateral 22003
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Temperature 21973
The aluminum container has an internal volume of 0.75 l at 20 °C. How does this volume change if the temperature increases by 55 °C? A = 24.10-6 1/K. - Movement 21953
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces do in 2 minutes?
- Production 21923
The company produced 300 vehicles a day. What percentage did production increase when they made 1,560 vehicles in 5 days? - Herbs drying
By drying, 75% of the weight of the herbs is lost. How many fresh herbs do you have to dry if you want to hand in 1.2 kg of dried herbs? - Determine 21903
A truck left place A at 8:00 a.m. at a speed of 60 km/h. From place B, which is 225 km from A, a car drove towards it at a speed of 90 km. Determine when and how far from place A the vehicles meet. - Rectangular land
On a rectangular plot of land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied? - Distance 21883 The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be?
- Cone from cube
From a wooden block 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m³ - Length 21863
The steel wire (α = 11.5. 10-6 1/K) has a length of 100 m at -15 °C. Find its length at 45 °C. - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast?
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - Bricklayers
The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and finished the work together. How long did it take to build the wall? - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums? - Individual 21713
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, and smaller ones cost only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy?
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