Maths practice for 14 year olds - page 173 of 376
Number of problems found: 7504
- Water tanks
A different amount of water is poured into the three identical vessels. The first vessel has 30% water, and the second has 40%. The third container contains 19 liters of water. If we distributed the water from all the vessels equally, the water in each ve - Tractors 19713
Two tractors are working on plowing the field. If only the first tractor plowed, it would plow the field in 3 hours. The second tractor would plow the field by itself in 6 hours. How long will it take to plow if they work together, but the other starts wo - Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones. - Inspectors 19633
Five inspectors will catch an average of 70 black passengers in 6 days. How many black passengers are caught by nine inspectors in 10 days? - Expensive 19583
Zuzka and Katka bought skis. Zuzkyně was 25% more expensive than Katkiny. How much more were Katka's skis cheaper than Zuzka's? - Accounted 19563
During the fishing of the pond, 19 catfish were caught. They accounted for 4% of all fish caught. How many fish were caught? - School club
Six boys, nine girls, and a teacher played in the school club. What probability will they point at the boy when they play the counting game?
- Forty-eight 19513
25% of children did not attend the course because they were ill. Forty-eight children passed the course. How many children were initially supposed to complete the course? - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Calculate 19443
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm². - Quadrilateral 19413
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Isosceles 19393
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Surface 19383 cone
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface? - Electrical 19373
At a certain point, we measured a voltage of 3.74V at a current of 170mA at the terminals of a resistor connected to an electrical circuit. Calculate the resistance of the resistor. - Calculated 19363
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution.
- Birthday 19313
Jan and Alice have a birthday today. Jan is five years younger than Alice. Ten years ago, they were a total of 65 years old. How old is Jan today? - Solution 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Right angle
If b=10, c=6, and c are two sides of a triangle ABC, a right angle is at the vertex A, find the value on each unknown side. - Successfully 19213
Of all the complaints submitted, 741 were successfully resolved. These represented 95% of all complaints. How many complaints were there? - Surroundings 19153
A heating element with a resistance of 1.6 Ω is used to heat the car's rear glass. The body is connected to the battery in the car, which has a voltage of 12 V. a) What is the power input of the heating element? b) How much heat does the heating element g
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