Maths practice for 14 year olds - page 308 of 382
Number of problems found: 7626
- 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 Eve 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 Karel'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? - Two numbers
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers? - Water in well
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. - Washing elephants
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? - Workshop shifts
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? - Tank filling
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 A cylinder with a base area of 8 dm² has a volume of 120 litres. From the cylinder, which was full of water, 40 litres were removed. At what height from the bottom (to the nearest dm) is the water level?
- Prize distribution
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? - Paper money
Four friends received money for collecting paper as follows: Miro received a quarter of the total amount, Rob received a third of the rest of the money, and Boris received half of the money left by Miro and Rob. Peter has 16 euros left. How many euros did - 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? - Triangle angles
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. - Annual reward
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them? - Apple division
The three brothers had 24 apples. Everyone kept half and divided half between the two brothers. Everyone had as many apples as they had three years ago. How old were they? - Cable break
The storm broke the telephone cable connecting places A and B at 2.5 km. What is the probability that this happened at a maximum length of 450 m from location A? - Three angles
In a triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.
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