Math practice for 13 year olds - page 182 of 414
Number of problems found: 8280
- Apprentice
A master craftsman helped an apprentice complete part of a task, and 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 entire task himself. H - Ground level
The ground-level temperature in Helsinki is 20 °C lower than in London. The temperature in a basement flat in Helsinki is 5 °C below the temperature at ground level. If it is -29°c in the basement, what is the temperature in London? - Team order possibilities
There are five good teams in the qualifying group for the World Cup. How many different orders can occur? - Medal division ways
Ten teams are playing in the Slovak hockey league. Gold, silver, and bronze medals are at stake. How many ways can it be divided? - Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with parallel sides a = 55 cm and c = 33 cm, leg b = 33 cm, and trapezoid height vₐ = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick - 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 3 dm, and a corresponding height of 2.6 dm. - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Buoyancy force
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. - Absolute value addition
Add the absolute values: - Bronze alloy
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. - Worker production
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Prism height
What is the height of a prism with a right triangle base and sides of 6 cm and 9 cm? The hypotenuse is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface area. - Tank water comparison
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%? - 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? - Sugar solution percentage
Mix 0.8 kg of sugar into 2.4 kg of water. What percentage of sugar solution do we get? - Book arrangement ways
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 number creation
How many different five-digit numbers can we create from digits 4 and 5? - Current injury protection
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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