Equations practice problems - page 28 of 247
Number of problems found: 4940
- Visitors
On the first holiday weekend, 1,250 visitors came to the swimming pool in Zdice. Sunday was less pleasant, so only two thirds as many visitors came as on Saturday. How many visitors came on Saturday? - Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. 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 remainder to small buyers. He stored the remaining 270 tonnes of corn. How many tonnes of corn did he sell in total? - Cost of a Cake
Half a cake costs €7 more than a quarter of a cake. How much does the whole cake cost? - Sifted sand
At a construction site, sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse material does not pass through and is discarded. Determine how many cubic metres must be brought in to obtain two cubic metres of sifted sand. - Paving 2
A construction company needs 8 working days to pave the pavements on two streets if all 6 pavers work. However, only 4 pavers are available because the other two have been reassigned. How many working days will it take the group of 4 pavers to complete th - Shadow - an observation tower
How tall is an observation tower if it casts a shadow 9.6 m long at the exact same moment that a half-metre pole casts a shadow 30 cm long? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C). - Calorimetric equation
A 200 g aluminium cylinder at 180 °C was dropped into 3 kg of water at 25 °C. At what temperature did the mixture stabilise? The specific heat capacity of water is 4,200 J/(kg·°C) and of aluminium is 896 J/(kg·°C). - Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end? - Prepare
From two types of tea priced at 1,500 Sk/kg and 2,100 Sk/kg, 29 kg of a mixture priced at 1,650 Sk/kg is to be prepared. How many kilograms of each type of tea should be mixed? - Insulating a house
Five workers are insulating a house at a pace that would allow them to finish the job in 18 days. After three days of work, two workers were called away to another construction site. In how many more days will the remaining workers finish the job? - Kilometers of the journey
A cyclist travelled 199 km over three days. On the first day, he travelled four times as far as on the second day, and on the second day, he travelled 7 km less than on the third day. How many kilometres did he travel each day? - Plums - a quarter
How many plums were originally in the bowl if Iva ate a quarter, Jana ate a fifth, Mike ate three eighths, and 7 were left? - Maths exam
One third of all students in a secondary school passed the maths exam. Five of these students then failed the maths exam retake. One quarter of all students in the final year of the secondary school passed the maths exam. Calculate the total number of stu - Three items
The price of a product is determined by these three items: the price of equipment (hardware), the price of software, and the profit. The price of the software was 500 Kč higher than three times the price of the hardware. The profit was set twice as high a - Imaginary number
If we add 120 to a certain number, we get 36 more than if we multiply the number by 5. Determine the number. - Sports Day 2
There are 15 boys in the class. 3 boys and 2 girls did not participate in the sports day. How many girls are there in the class if 80% of the students participated in the sports day? - Total How many trees are in an orchard if one seventh of all trees are cherry trees, one quarter are pear trees, half are apple trees, and the remaining 3 trees are plum trees?
- Consecutive Numbers Sum Can you find three consecutive whole numbers such that the sum of the first and third is 128?
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