Math practice for 13 year olds - page 204 of 415
Number of problems found: 8281
- Triangle height calculation
A parallelogram with a side length of 5 cm and a height to this side length of 4 cm has the same area as an isosceles triangle with a base length of 5 cm. What is the height of this triangle? - Prism pyramid volume
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! - Resistor series connection
Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected in series (in series)—a current of 1.8 A flows through the first 200 Ω resistor. a) What current passes through the second and what current through the third resistor? b) What are t - Diamond area from diagonals
In the diamond, ABCD is AB = 4 dm, and the diagonal length is 6.4 dm long. What is the area of the diamond? - Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - Kirchhoff's law Two resistors with 100 Ω and 300 Ω resistors are connected in series. A current of 1.8 A passes through the first 100 Ω resistor. What current flows through the second resistor?
- Simultaneous start 2
A tourist who travels at a speed of 8 km in 2 hours and a cyclist who travels at a speed of 10 km in half an hour set off from two places 24 km apart simultaneously. How long are they on the road before they meet? - The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle. - Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Triangle cone rotation
A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6 cm, longer pendant 8 - Mains voltage How much electric current flows through the appliance with a resistance of 40 kΩ, connected to the mains voltage (230 V)?
- Resistor voltage
The current of 25 mA passes through the resistor with a resistance of 50 Ω. How much voltage do we measure on it? - Appliance resistance power
Calculate the resistance and power of the appliance through which a current of 20 mA flows at the mains voltage (230 V). - Resistor voltage How much voltage do we measure on a 400 Ω resistor when an electric current of 55 mA passes through it?
- Five combers
Five combers harvest 12 rows of strawberries in 4 hours. How many rows of strawberries will two combers harvest in 10 hours? - Copper Cu wire
Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic. - Cube cylinder volume
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder? - Apple slice ingredients
Dahlia cooks with her mother's apple slices. They mixed flour, sugar, and butter in a ratio of 10:3:2. How many grams of sugar and butter did they put in half a kilogram of flour?
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