Math practice for 13 year olds - page 193 of 415

Number of problems found: 8281

Bank loan repayment
On 1 March, Mr. Závora obtained a loan from the bank for CZK 70,000 for four months. The interest rate is 9.5%. How much will he repay to the bank?
Pedestrian cyclist meeting
A pedestrian walked from Tábor to Veselí nad Lužnicí at a speed of 6 km/h. At the same time, a cyclist rode in the opposite direction at a speed of 24 km/h. The distance between the cities is 36 km. How long and far from Tábor will the pedestrian and the
Hangar air volume
How many cubic meters of air is in an empty half-cylinder-shaped aircraft hangar if the hall is 30 m long and 12 m high at the highest point?
Two gears
Two gears with 13 and 7 teeth rotate locked into each other. We want both wheels to be in the starting position again. How many turns does a big wheel have to make?
Electric resistance calculation
What resistance must the electric element have to pass through a current of 4.4 A at a voltage of 220 V?
Series resistor calculation
On sources with voltage U = 12 V, resistors R1 = 1 Ohm, R2 = 2 Ohm and R3 = 9 Ohm are connected in series. Determine the current I flowing from the source and the voltage drops U1, U2, and U3 on the individual resistors.
Square paving calculation
According to the plan, seven pavers were to pave the square in 14 days. After two days of work, another 5 pavers came to help them. How many days from the arrival of the pavers will the work be completed? (tile performance is the same)
Circumference + sides
The lengths of the triangle sides are in the ratio of 3:5:7. Its circumference is 45 cm. Find its lengths.
Ten persons
Ten persons, each person, make a hand to each person. How many hands were given?
Tea mixture calculation
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed?
The bulb
ON the bulb we a reading of 6 V and 0.05 A. What current flows through the bulb if we connect it to a cell with a voltage of 12 V?
Stove voltage drop
A stove with a current of 4.0 A is connected to the 220 V voltage. The current has been reduced to 2.4 A due to a fault in the network. How much has the voltage in the socket dropped?
Isosceles triangle
Calculate the area of an isosceles triangle, the base measuring 16 cm and the arms 10 cm.
Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume.
Three ships
There are three ships moored in the port, which sail together. The first ship returns after two weeks, the second after four weeks, and the third after eight weeks. In how many weeks will the ships meet in the port for the first time? How many times have
Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.
Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm³, and its height is 120 cm. What is the surface area of the cone?
Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.

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