Maths practice for 14 year olds - page 141 of 370
Number of problems found: 7389
- Spherical section cut
Find the volume of a spherical section if the radius of its base is 10 cm and the magnitude of the central angle ω = 120 degrees. - Isosceles 37621
In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A - Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - Apprentice
The master helped the apprentice complete part of the task, the apprentice completed the rest himself. It turned out that the time needed to complete the task was three times shorter than if the apprentice had completed the task himself. How many times mo - Qualifying 37483
There are five good teams in the qualifying group for the World Cup. How many different orders can occur?
- Divided 37473
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - Hexaprism container
Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m, a base edge of 3dm, and a corresponding height of 2.6 dm. - Completely 37433
Find the magnitude of the buoyancy force acting on a body with a volume of 1 dm³ whole immersed: a) in water b) in ethanol. - Bronze 37391
Bronze is an alloy of tin and copper. Copper is 85% the rest is tin. How much bronze do we make from 51 kg of copper? Will 8 kg of tin be enough for us? - Equilateral triangle v3
Calculate an equilateral triangle's perimeter and area with a side of 20 dm. - Products 37321
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Including 37251
The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty? - Three-quarters 37241
We have two cube-shaped tanks. The first has an edge of 12 dm long, and the second has an edge of 20% longer. By what % more or less water is there in the second tank if the first is three-quarters full and the second three-eighths full? - The notebook
The notebook cost 10.50 euros after rising by 40%. How much would it cost if it increased in price by only 20% instead of 40%? - Annual growth The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
- Buoyancy force
An adult male has a volume of about 0.070 m³. How much buoyancy affects him when he is completely immersed in water? - Percentage 37141
Mix 0.8 kg of sugar into 2.4 kg of water. What percentage of sugar solution do we get? - Arranged 37131
Jane wants to organize 4 English and 3 Slovak books on the shelf to arrange first English and then Slovak books. How many ways can it do that? - Five-digit 37121
How many different five-digit numbers can we create from digits 4 and 5? - Protector 37111
1. Describe the path through which the current causing the injury flows. 2. Justify why we should use the lowest type of protector A in our country.
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