Maths practice for 14 year olds - page 301 of 382

Number of problems found: 7626

Master work
The master will complete the given task in 4 hours. When they're done together, how long will it take to master students entirely in three hours?
Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10 m, a width of level 1 meter, and a level of 0.2 meters below the tank's upper side?
Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges.
Canister
Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, and 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg, and the weight of an empty canister is 1.5 kg?
Mother and daughter age
A mother is six times as old as her daughter. The mother will be twice as old as her daughter in twenty years. How old is the mother, and how old is the daughter?
Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm², and its height is 80 mm. Determine its surface area and volume.
Beetles and spiders
The collector of beetles and spiders had ten creatures in a box. There were a total of 72 legs in the box. How many beetles and how many spiders?
Flour amount
On the first day, a bakery used one third of their flour. On the second day, they used 75% of the remaining flour. On the third day, 120 kg of flour remained. How much flour did they have at the beginning?
Goals scored
Jarda scored 18 goals more than Karel. They scored a total of 86 goals. How many goals did Jarda achieve, and how many did Karel score?
Mushrooms
Eve and Jane collected 114 mushrooms together. Eve found twice as many as Jane. How many mushrooms did each of them find?
Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A.
Inequality with fraction
(1 + 3x) / (x-2)> 3
Cylinder:
Cylinder: calculate the height of a 3-liter cylindrical pot with a diameter of 10 cm.
Gingerbread sharing
Johnny and Mary ate 36 gingerbreads together. Johnny ate 14 more gingerbread. How many gingerbreads did Mary eat? How much did Johnny eat?
Money distribution
Adam, Boris, and Cyril have 21 CZK in total. Adam and Boris together have 11 CZK, and Boris and Cyril together have 13 CZK. How much does each of them have?
Playing match
Romania played a match against Canada. Canada won the duel by six goals. They scored a total of ten goals in the game. Find the number of goals scored by Romania.
Tournament goals
Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals.
Chimney - view angle
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53°. Calculate the chimney height and the result round to whole decimeters.
Book sales
The Harry Potter book was released in the second quarter, and 6,000 copies were sold in this quarter. In the third quarter, it sold 8% more and in the fourth quarter it sold 15% more than in the third quarter. How many Harry Potter books have been sold by
Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm.

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