Maths practice for 14 year olds - page 271 of 319
Number of problems found: 6361
- 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?
- 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?
- 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?
- 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?
- 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).
- Previous 2513
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.
- 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
- 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.
- Barrel 4
The barrel of water weighs 63 kg. After off 75% water, the barrel's weight with water is 21 kg. How many kg weigh empty barrels and how many kgs of water in them?
- Bronze, tin and copper
Bronze is an alloy of tin and copper. An alloy of 10% tin and 90% copper is Gunmetal. It is bell metal if it contains 20% tin and 80% copper. How many tons of molten bell metal and copper are needed to make 100 tons of Gunmetal?
- Two tributaries
Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary?
- Rectangle - sides 4
The perimeter of the rectangle is 72 cm. Calculate the length of the sides that are in the ratio of 3:5.
- Three numbers
What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8.
- Circumference 2489
The circumference of Baikal in km is the number b, which must be added to the empty space in the equation below so that its solution is x = 12,000. (x / 30) + (x / 20) = x - ………… Thanks
- Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, and a beam of the square cross-section is to be made. Calculate the longest side of the largest possible square cross-section.
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