Math practice for 13 year olds - page 175 of 434
Number of problems found: 8665
- The storm
After the storm, the top of the 5 m high mast deviated by 1 m from the original vertical axis. What is the peak now? Round to 2 decimal places. - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2:3:4 and the surface is 117 dm². - Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from - The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - Cyclist 37661
The cyclist will travel 22 km in an hour and a half. How long would it take to drive 30 km? - 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 - 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?
- 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? - Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with sides a = 55 cm, c = 33 cm, side b = 33 cm, height of the trapezoid va = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick has a v - 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. - 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? - 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. - Absolute 37423
Add the absolute values: - 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) - 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. - 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%?
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