Math practice for 13 year olds - page 199 of 431
Number of problems found: 8620
- Resistances 25271
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 200Ω resistor. a) What current passes through the second and what current through the third resistor? b) What are th
- 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 100Ω resistor. What current flows through the second resistor?
- Simultaneously 25191
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.
- What time is it?
What time is it when there is four times less time left until midnight than the time that has elapsed since noon? What time is it when one-fifth of the hours that have passed since equal midnight, one-third of the hours that are missing by 12 o'clock?
- Half-cylinder 25121
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?
- Calculate 25111
The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½.
- Everything in soup
The pot with soup is shaped like a cylinder with a bottom diameter of 20 cm and a height of 24 cm. How many guests will we have enough soup for if the pot is filled to two-thirds of the height and 0.25 l of soup is calculated per person? (pay attention to
- Right-angled 25091
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 6cm, longer pendant 8c
- Divided 25071
Divided to a ratio of 5:3 100 people.
- Mains voltage
How much electric current flows through the appliance with a resistance of 40kΩ, connected to the mains voltage (230 V)?
- Resistance 25031
The current of 25 mA passes through the resistor with a resistance of 50Ω. How much voltage do we measure on it?
- Resistance 25021
Calculate the resistance and power of the appliance through which a current of 20mA flows at the mains voltage (230 V).
- Electric 25011
How much voltage do we measure on a 400Ω resistor when an electric current of 55 mA passes through it?
- Divide 25001
Divide 25 pairs of socks in a ratio of 2:3:5
- Double ratio
The mobile phone was twice gradually discounted in the ratio of 3:2 and one-half: five-quarters. If the price was CZK 4,200 after a double discount, how much did it initially cost?
- 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.
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