Equations practice problems - page 27 of 241
Number of problems found: 4811
- Oranges and apples
Mr. Novák bought 5 times more oranges than apples. One orange cost 8 CZK and one apple costs 12 CZK. He paid 156 CZK in total. How many oranges and apples did he buy? - Triangles - combinations
How many different triangles with sides in whole centimeters have a perimeter of 12 cm? - Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side. - Angles alpha 2
Angles alpha and beta are adjacent. Calculate their sizes if the angle alpha is 50 degrees less than the angle beta. - Acceleration - free fall
How long will it take for a car to reach speed of 180 km/h with an acceleration of 10 m/s²? - Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side. - Swimming pool 5
There are 5500 men, women, and children at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women, and children are there at the swimming pool? - Mirka 2
Mirka is saving for a bicycle. She already has 336 euros. That is 1/5 more than half the price of a bike. How many euros does a bicycle cost? - Laboratory
In the laboratory, twelve liters of 80% prepared 40% alcohol were diluted to a final 70% alcohol. A five-liter barrel of 40% alcohol was available. How much will remain in the barrel of 40% alcohol? - Visitors
The first holiday weekend, 1250 visitors came to the swimming pool in Zdice. Sunday was not so nice, so two-thirds of the number of visitors who were at the swimming pool on Saturday came. How many visitors were there on Saturday? - Timetable
If a train traveling between two cities increases the speed specified in the timetable by 5 km/h, it will arrive 20 minutes earlier. If it decreases it by 5 km/h, it will arrive 25 minutes later. How long is the route between the cities? - To a wholesaler
A farmer sold 10% of last year's corn crop to a wholesaler and a third of the rest to small buyers. He stored the remaining 270 tons of corn. How many tons of last year's corn crop did he sell? - Quarter 83940
Half a cake costs 7€ more than a quarter of a cake. How much does a cake cost? Thank you - Sifted sand
At a construction site, the sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse sand falls through. Determine how many cubic meters must be brought in to obtain two cubic meters of sifted sand. - Paving 2
It will take a construction company 8 working days to pave the sidewalks on two streets in a city if all 6 pavers work. However, only 4 pavers can complete the job because the other two have been dismissed. How many working days will it take the group of - Shadow - an observation tower
How tall is the observation tower if it casts a shadow 9.6 m long at exactly the same moment that a half-meter pole casts a shadow 30 cm long? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that, when heated to 39 degrees Celsius, absorbed 3.5 kJ of heat? The specific heat capacity of iron is 450 J/kg/°C. - Calorimetric equation
A 200g aluminum cylinder at 180°C was dropped into 3kg water at 25°C. At what temperature did the resulting temperature stabilize? The specific capacity of water is 4200 J/kg °C, aluminum 896 J/kg °C, - Crowbar - lever
How much force must we apply to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if it stands on the crowbar 35 cm from its end, which is resting on the ground? - Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed?
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