Maths practice for 14 year olds - page 58 of 367
Number of problems found: 7329
- Iron key temperature
By how much °C will the temperature of an iron key weighing 0.004 t change if it receives 360,000 J of heat? ( c of iron is 450 J/kg.°C ) - Steel heat capacity
Calculate the mass heat capacity of a steel body weighing 2 kg, which was heated from an initial temperature of 15 °C to 80 °C by supplying 60 kJ of heat. - Ladder building height
A ladder leans against the building; its length is 7.5 meters. The bottom is 2 meters away from the building. At what height is it leaning against the wall? - Isosceles trapezoid
In an isosceles trapezoid, the basic lengths are 15 cm and 9 cm. The diagonals are 13 cm long. Calculate the perimeter and area of the trapezoid. - Triangle height calculation
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you. - Vehicle speed ratio
The speeds of two motor vehicles are in the ratio 7:4. How many kilometers will the slower vehicle travel simultaneously, if the faster vehicle travels 52.5 km? - Worker road repair
Six workers repair 48 meters of municipal road in 2 days. How many days will 3 workers with the same output repair 60 meters of the road? - Chip number probability
In an opaque bag are chips with numbers from 1 to 20. What is the probability that we will draw a chip with a number less than 16? - Jane ring money
Jane lacked 160 crowns to buy six rings, so she only bought four and had 100 crowns left. How much are 4 rings? - Cottage bridge distance
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85 - KiloJoules energy
In the washing machine, 6 liters of water were heated from a temperature of 22 degrees to 62 degrees. Find out the weight of 6 liters of water. What heat (in kJ= kiloJoules) did the water receive? - Department age groups
The department has 90 members. There are 4 more older adults in the section than younger adults. There are 10 more older pupils than all adults. How many older and younger teenagers and how many older pupils are there in the section? - Athletics
160 students (from grammar schools and technical schools) participated in an athletics competition. The proportion of girls from grammar schools was 50%, and the proportion of girls from technical schools was 10%. Determine how many students were from gra - Jude section children Three times more boys than girls go to the Jude section. If three more girls started dating, there would be twice as many boys as girls. A) determine how many go to the girls' section B) determine how many children attend the department in total.
- The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Theater ticket viewers
Although the price of a theater ticket rose by 20 percent, sales rose by only 8 percent. By what percentage did the number of viewers have to drop? - Trip breakfast 90 children participated in a trip, boys and girls in the ratio 2:3. Each participant chose exactly one breakfast. Half of all boys chose variant D, a quarter of all boys chose variant C. A third of all girls chose variant A and a third of all girls chose
- Classroom plan width The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan.
- Plan scale determination
Determine the scale of the plan if the actual length of 51 m is shown on the plan by a segment of length 3 cm. - Rectangular garden
The garden is 24 m long and 15 m wide. Determine the ratio of the dimensions of this rectangle.
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