Maths practice for 14 year olds - page 163 of 379
Number of problems found: 7567
- Calculate 25621
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 - Cyclist 25591
The cyclist rode 44 km and 400 m in three days. In the first hour, he covered the course 5% longer than in the second hour, and in the third hour, he covered 1 km more than in the first hour. How many km did he travel in the third hour? - Water mixing
We have 520 ml of hot water and 640 ml of water at 48°C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65°C? - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - 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?
- Simultaneously 25481
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? - Insulating 25471
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. - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Telegraph poles
The bases of two adjacent telegraph poles have a height difference of 10.5 m. How long do the wires connect the two poles if the slope is 39° 30’? - Magnitude 25411
There is a circle with a radius of 10 cm and its chord, which is 12 cm long. Calculate the magnitude of the central angle that belongs to this chord. - The observer - trees
The observer sees the tops of two trees at the same angle α. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx - Determine 25341
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number.
- In the dairy
The dairy had three times more milk packages than half a liter. Four times more liters remained when sold in 10 liters and 10 half-liter containers than in half-liter packages. How many packages were there originally? - Calculate 25321
Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm. - Electric work
Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply. - Two resistors
Two resistors, 20 Ω, and 60 Ω, are connected in series, and an external voltage of 400 V is connected to them. What are the electrical voltages on the respective resistors? Please comment! - Resistances 25281
Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected next to each other (parallel). A current of 1.8 A flows through the first 200Ω resistor. a) What current passes through the second and what current through the third resistor? b) Wh
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