Maths practice for 14 year olds - page 322 of 369
Number of problems found: 7372
- Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou
- Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees.
- Mountain railway
The railway line's height difference between points A and B is 38.5 meters. Their horizontal distance is 3.5 km. Determine the average climb in permille up the track.
- TV diagonal
A diagonal TV is 0.56 m long. How big is the television screen if the aspect ratio is 16:9?
- Cube volume
The cube has a surface of 384 cm². Calculate its volume.
- Sum 10
What is the probability that two dice thrown twice in a row will result in the sum of 10?
- Grid/network of cube
The net of the cube has a circumference of 42 mm. Calculate the surface area of this cube.
- Coffee
Coffee merchant has coffee robusta and arabica species. 1 kg Robusta is worth 450 CZK, and Arabica 1 kg is 300 CZK more expensive. Calculate how many kilograms of Robusta and Arabica will need to produce 30 kg of the mixture so that the mixture costs 490
- Throw
We throw two times with two dice. What is the probability that the first roll will fall more than the sum of 9 and the second throw has a sum of 3 or does not have the sum of 4?
- Euros
Peter, Jane, and Thomas have € 550 together. Tomas has 20 euros more than Jane, and Peter € 150 less than Thomas. Determine how much each of them has.
- Triangle - is RT?
The triangle has a circumference of 90 cm. Side b is 1 cm longer than side c, and side c is 31 cm longer than side a. Calculate the length of the sides and determine whether a triangle is a right triangle.
- Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
- Mass
The thickness of a metallic tube is 1cm, and its outer radius is 11cm. Find the mass of such a 1m long tube if the metal density is 7.5g per cubic cm.
- Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row?
- Land areas
Two land areas are 244 m². The first parcel is 40 m² less than twice the second one. What is the acreage of each parcel?
- Coal storage
The coal storage distribution received coal shipment within three days. On the first day, distribute a third of the shipments, on the second day of two-fifths of the rest, and on the third day, 300 tons of coal. How many tons of coal were distributed firs
- Rectangle
The width of the rectangle is 65% of its length, and its perimeter is 132 cm. Determine the dimensions of the rectangle.
- Addends
Number 118 is divided into two addends, so the first addend is 69, greater than 75% of the second addend.
- Work at plant
The handyman vowed to do repair work at the plant for 25 days. However, work had to be shortened, so he sought help. Together, they made all the corrections for 13 1/3 days. How long would the work take the helper himself?
- Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD, points JG lie on the side CD, while DJ is less than DG, and points HE lie on the side DA, while DH is less than DE. We also know that DJ is equal to GC. Hexagon ABCGFE has a perimeter of 96 cm,
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