# Examples for 8th grade - page 31

- Thales

Calculate the length of the Thales' circle described to right triangle with hypotenuse 44 cm. - Pool

Mr. Peter build a pool shape of a four-sided prism with rhombus base in the garden. Base edge length is 6 m, distance of the opposite walls of the pool is 5 m. Estimated depth is 193 cm. How many hectoliters of water consume Mr. Peter to fill the pool? - R Trapezium

Rectangular trapezium has bases 17 and 7 and area 80 cm^{2.}What is its perimeter? - Cuboid

The cuboid has a surface area 8710 cm^{2,}the length of its edges are in the ratio 3:2:1. Calculate the volume of the cuboid. - Work

First paver pave pavement for 33 hours. Second for 24 hours. Started first paver and after 5 hours, join the second. How long will they finish pavement? - Triangle angles

The angles α, β, γ in triangle ABC are in the ratio 10:5:6. Calculate size of angles. - Real estate

Residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of this three numbers. - Dried apples

How many kilograms of fresh apples id needed to 120 kg of dried apples when from 0.4 tons of fresh apples we get 75 kg of dried apples? - Washing mashine

Family buy a washing machine for 350e. Cash paid 280e. What percentage of the total price must still pay the washer? - Hydrochloric acid

Determine the concentration of which must have a solution of hydrochloric acid that mixing 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%? - Mother and daughter

The ratio of years mother and daughter is 5:2. After 7 years the ratio is 2: 1. How many years ago daughter was born? - Plum

On the platter are plum. How many were there if its have to be able to share equally among 8,10 and 12 children? - Cars motion

From point A car start at the speed of 90 km/h. Against it departs from the point B at the same time another car at 60 km/h. For how long and where they met if the distance between A and B is 180 km? - Grandson and granddad

Grandson with grandpa they counted how many years have together. Their product is 365. How many years is the sum of their years. - Painting school

Redecoration school had scheduled for four crew to 10 days. After two days a single worker ill. For how many days the school was painted when remain workers working with the same tempo? - Sisters

Sisters Zuzka Lenka and Vierka has save for a new bike. Zuzka save € 90, Lenka save € 90 and Vierka save € 82. Missing 30% gave them their mother. What is the price of the bike? - Circles

Area of circle inscribed in a square is 6. What is the area of a circle circumscribed around a square? - Leveling

Calculate how many 25 kg bags of leveling concrete must be purchased if we leveling room 28 m^{2}to the "height" 12 mm if consumtion is 1.7 kg per square meter and millimeter thickness. - Comparing powers

How many times is number 5^{5}larger than number 4^{5}? - Task of the year

Determine the number of integers from 1 to 10^{6}with ending four digits 2001.

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