Math practice for 13 year olds - page 201 of 428
Number of problems found: 8556
- Cube volume increase
How many times does the volume of a cube increase if we enlarge its edge three times? - Right angle
In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle. - Sound speed calculation
Calculate the speed of sound in the air a) at a temperature of t = 20 °C b) at a temperature of t = 27 °C - Bike cost
The father gave his son € 100 to buy a bicycle, which was 40% of the total amount of the bicycle. How much did the bike cost? - The cable car
The cable car is 2610 m long and rises at an angle of 35°. Calculate the height difference between the lower and upper station of the cable car. - Triangle height construction
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights. - Sailing
Solve the following problem graphically. The fishing boat left the harbor early morning and set out to the north. After 12 km of sailing, she changed course and continued 9 km west. Then, When she docked and reached the fishing grounds, she launched the n - Cistern water calculation
The cistern of the public water supply has a cube-shaped interior. The edge of this cube is 5 m long. a) How much water is in the reservoir when it is completely filled? (Express this volume in m³ and hectoliters. ) b) How high does the water reach in the - The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many kilometers did he walk in three days? - The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. - School pupil calculation
Two-thirds of the school's pupils went on a trip, one-sixth went on an excursion, and 30 pupils stayed while cleaning the school. How many students attend school? - Hexagon area calculation
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm. - A farmer's heritage
A farmer died, leaving his 17 horses to his three sons. When his sons opened up the testament and read: My eldest son should get 1/2 (half) of the total horses; My middle son should be given 1/3rd (one-third) of the total horses; My youngest son should be - Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary? - Quadrilateral prism
The surface of the regular quadrilateral prism is 8800 cm2, and the base edge is 20 cm long. Calculate the volume of the prism - TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°. - The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall? - Train meeting calculation
When and where will two trains that run simultaneously from stations A and B at a distance of 60 km meet if the train from station A ran at 70 km/h and the train from station B at 50 km/h? - Tank painting calculation
The septic tank is 6 m high and 2.4 m in diameter. If the painter consumes 1 kg per 5 m² and the paint is delivered in two kg cans, how many packages of insulating paint must he order? - Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.
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