Maths practice for 14 year olds - page 307 of 362
Number of problems found: 7226
- 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? - Mast height
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 price
By using it, the machine's price fell by 37% to 104,454 euros. What was its original price? - Dough weight
A baker made 496 kg of dough from 356 kg of flour. What percentage of the dough's weight was the flour? - Veal weight
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? - Plastering plan
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 plan
The bookstore processed 2,905 bookbindings, thus exceeding the set plan by 4.12%. How many should it process according to the plan? - Sugar production
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? - Task calculation
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? - Workers 2
The worker dug the trench for 7 hours, and another worker for 10 hours. They recruited to work even one worker. Digging should be done for 2 hours. For how long would dig the third worker alone? - Ratio
The radii of the two cones are in the ratio of 5:7. Calculate the volume ratio of cones that have the same height. - Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Two looms
On two looms of different performances, the desired amount of fabric can be woven in 6 hours when both are working simultaneously. On the first machine, this amount of fabric would be woven in 10 hours. How long would it take to weave on the second machin - Consecutive numbers
The sum of ten consecutive numbers is 105. Determine these numbers (write first and last). - Candy benches
There are candies on ten benches. There are three candies on the first bench. There are two more candies in each one than in the previous one. Find how many candies there are. - 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
In a Cartesian coordinate system with origin O, a circle k is drawn with centre O and radius r = 2 cm. Write all points on circle k whose coordinates are integers. Write all points on the circle with centre O and radius r = 5 cm whose coordinates are inte - 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 - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
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