Maths practice for 14 year olds - page 307 of 361
Number of problems found: 7215
- 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. - 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? - Savings and retirement
The older sibling has saved 44% more euros than the younger sibling, which represents €22 more. How many euros has the older sibling saved? - Semicircle
To a semicircle with a diameter of 10 cm, inscribe a square. What is the length of the square sides? - 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. - Lake circumference
The circumference of lake 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 - …………
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