Math practice for 13 year olds - page 367 of 423
Number of problems found: 8454
- Windbreak
A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree?
- Voltage 2533
The high voltage mast fastens 30 m long ropes at 2/3 of the mast height. How tall is the mast if the ropes anchor at 15 m from the mast?
- Original 2532
By using it, the machine's price fell by 37% to 104,454 euros. What was its original price?
- Kilograms 2531
The mother made 496 kg of dough from 356 kilograms of flour. What% of flour weight was it?
- Obtained 2530
The weight of the veal obtained is 64% of the total weight of live calves. What was the weight of the live calves, from which 16,830 kg of veal were obtained?
- Plastered 2529
The mason was to plaster 24.2 m² of the wall in 12 shifts. At what percentage did he meet the plan when plastering 306 m² of walls?
- Bookbindings 2528
The bookstore processed 2,905 bookbindings, thus exceeding the set plan by 4.12%. How many should it process according to the plan?
- Contaminated 2527
The cooperative handed over a total of 4,650 tonnes of contaminated sugar beet. At the time of purchase, they deducted 4.7% of the total weight for impurities. Pure sugar beet contained 19.3% sugar, which recovered 90%. How much sugar was made from the tr
- Machines 2
Two machines produce 2,000 products in 50 hours. How many machines do you need to buy to make 15,000 products in 30 hours?
- Straightforward 2525
The student has written such a straightforward task in the book: Hanka by three more Emka 2x more Johanna? total 51 Can you help him calculate this fine example?
- Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube?
- Two trains
Two trains go at each other. First at a speed of 40 km/h and the second at a speed of 60 km/h. At what distance will it be 30 minutes before they will meet?
- Perpendicular diameters
Draw a circle k/S; 4.5 cm/. Next, draw: a/two mutually perpendicular diameters AB and CD b/two radii SA and SE which form an angle of 75 degrees c/chord/KL/= 4 cm d/chord/MN/, which is perpendicular to KL
- Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights.
- Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has.
- Chord 5
It is given a circle k/S; 5 cm /. Its chord MN is 3 cm away from the center of the circle. Calculate its length.
- Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
- Truck PRG-BA
Truck driving on the highway from Prague to Bratislava at an average speed of 72 km/h. When the truck passes 54 kilometers from Prague, the passenger car departs from Prague and travels to Bratislava at a speed of 90 km/h. When and where (at what highway
- Savings and retirement
The older sibling has saved 44% more euros than the youngest, which represents 22 euros. How many euros older brother has saved?
- Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides?
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