Maths practice for 14 year olds - page 303 of 371

Number of problems found: 7405

Water tank
The water tank has a cylindrical shape with a base diameter of 4.2 m and is 80 cm deep. How many minutes will it take to fill it 10 cm below the edge of the tank if water flows 2 liters per second?
Water reservoir
The reservoir shape of a cylinder has a diameter of 8 m and a height of 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of the volume is used.
Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution?
Produced 3333
How much 55% alcohol do we need to add to 1500 grams of 80% alcohol to produce 60% alcohol? How much is 60% of alcohol produced?
Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic meters of gasoline?
Collection
John collected half a bucket of raspberries in 45 minutes, and Eva collected the whole bucket in an hour. How many minutes would it take to fill a bucket if the two children worked together?
Vacation
Karel and his parents flew on vacation. When checking in at the airport, their 3 pieces of luggage had a total weight of 44 kg. Father's luggage weighed three times as much as Karl's luggage, and mother's luggage weighed half as much as father's luggage.
CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m³, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains.
Scratches
The ticket seller sold 1,280 scratch cards in three days. He sold 90 tickets less on the second day than on the first day. He sold 1.5 times more tickets on the third day than on the second day. How many tickets did he sell on the third day?
Numbers 3323
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers?
Concrete 3321
The water in the well is dropped by one ring; the ring has an inner diameter of 110 cm and a height of 80 cm. How much water is left in the well? The chutes are concrete rings forming the walls of the well.
Scale of map
James travels one kilometer in 12 minutes. The route was walked for half an hour, measured on the map 5 cm. Calculate how many kilometers James walked for half an hour. Find the scale of the map.
Experienced 3318
An experienced tamer will wash an elephant in 40 minutes. It takes a temporary worker 2 hours. How long in a minute will a tamer and a temporary worker wash three elephants together?
Modifications 3317
Workshop A can fulfill a specific order in 8 changes, workshop B in 10 modifications. How many shifts will the job be completed if workshop A works on only the first two shifts and both workshops work on the remaining shifts?
Simultaneously 3316
We would fill the water tank with one inlet in 36 minutes and the other in 45 minutes. How long will it take to fill the tank if water flows through the first inlet for 9 minutes and then both simultaneously?
The cylinder base
The cylinder with a base of 8 dm² has a volume of 120 liters. From a cylinder filled with water, 40 liters of water were removed. At what height from the bottom /with precision to dm/ is the water level?
Subsequent 3312
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?
Collecting 3306
Four friends received money for collecting paper as follows: Mirko received a quarter of the total amount, Robo received a third of the rest of the money, and Boris received half of the money left by Mirko and Robo. Peter has 16 euros left. How many euros
Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm?
Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle.

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