Maths practice for 14 year olds - page 164 of 370

Number of problems found: 7400

Adam
Adam has half more money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns Adam has in his left pocket more than in his right. How
Observation tower
The observation tower has a height of 105 m above sea level. The ship is aimed at a depth angle of 1° 49' from the tower. How far is the ship from the base of the tower?
Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism.
Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large?
3 pupils
Three pupils cleaned 10 meters of the stream in 1 hour. How many meters of the stream will clean 18 students in 4 hours?
Complete 23811
We ordered two parties of workers to replace the windows and doors. The first group would complete the task in 15 days. The second in ten days. How many days will they be able to exchange it together?
Administrator 23801
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig
Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm.
Five tractors
Five tractors plow the fields in 4.8 hours. How long will it take to plow the field when, after an hour and a half of work, two tractor drivers have been called up for another task?
Determine 23741
Adam and Eve live 20 km apart. They are going to a meeting. Adam moves at a speed of 2 km/h faster than Eva. They will meet in one and a half hours. Determine their speeds.
Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)?
Banknotes 23691
Dad paid for the computer with banknotes worth 500 and 1,000 CZK. The number of banknotes was 56, and the price of the computer was CZK 44,000. How many banknotes did he have?
Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure?
Percentage 23631
In the shape of a rectangle, the city park, measuring 125 x 12 m, has a circular fountain with a diameter of 10 m. What percentage of this fountain represents the total area of the park?
Kilograms 23581
How many kilograms is 24% of 30 tons?
Quiz or test
I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e
The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives?
Average height
There are twice as many girls in the class as there are boys. The average height of girls is 177 cm, and boys 186 cm. What is the average height of students in this class?
Percentage 23501
In the 7A class, the ratio of boys to girls is 2:3. What percentage of the class are girls?

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