Math practice for 13 year olds - page 205 of 431
Number of problems found: 8620
- Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together? - Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage. - Temperature 22861
The small bulb's socket has a reading of 6.3V/0.3A, which applies to its filament when the bulb is on. Determine the electrical resistance of the fiber under the given condition (the temperature of the fiber corresponds to about 2800°C) - Receive 22791
Katy got a pocket trip for a two-day trip. She spent 3/5 on the first day and half the rest on the second. She brought home € 8. How many euros did Katka receive as pocket money? - Rectangles 22781
A bricklayer has 48 tiles. How many different rectangles will he assemble? - Job applicants
Job applicants: three-fourths of applicants had experience in a position. The number that did not have prior experience was 36. How many people applied for the job? - Flakes
A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips. Which is bigger: the area of the middle square or the area of the four chips?
- Remained 22741
There were apples on the table. Aleš took a quarter of apples, Bara a third of what remained. Cyril took half of the rest. Emil took the other four apples. How many apples were on the table in total? - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - There 22691
There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares? - Price reduction
The product is sold for 360 CZK, and the sales profit is 30%. If I reduce the product's price by 10%, what percentage will the sales profit be reduced? - Cylinder-shaped 22643
The cylinder-shaped container is filled with 80 l of water and is 70 cm high. Calculate the diameter of the bottom of the container. - Determine 22633
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h - The bases
The bases of the isosceles trapezoid ABCD have 10 cm and 6 cm lengths. Its arms form an angle α = 50˚ with a longer base. Calculate the circumference and area of the ABCD trapezoid. - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating?
- Circumference - bed
The perimeter of the round bed is 36m. Find the length of the part of its circumference that belongs to the given center angles of 180° - Double price reduction
TV price has been reduced twice, first by 15% and later by another 10% of the reduced price. After this double price reduction, Peter sold the TV for 8,874 crowns. What was the original price of the TV? - Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm. - The triangles
Two similar triangles, KLM and ABC, are given. Calculate the lengths of the remaining sides of the triangle KLM. If the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5 - Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
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