Equations practice problems - page 24 of 241
Number of problems found: 4814
- Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How much of its length can it protrude over the edge of the table without falling if a weight weighing 0.2 kg is placed at its end? - GP - free
For a geometric sequence, an interesting relationship between the first and third terms applies: a1-a3=-1.5 a3-a1=1.5 Calculate the quotient q and the first term a1. - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer. How long are her wands? - Equality of Moments A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance.
- Me and my father
My father and I are now 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I? - Nuts 8
Peter divided the nuts between two friends. Each friend received a quarter of all the nuts and two more nuts. Peter had two nuts left. How many nuts did he have when he started giving them away? - Daniel 3
Daniel and Eva earned 180 euros together. Daniel earned 70 euros more than Eva. How much did Daniel earn, and how much did Eva earn? - Three friends 10 Three friends Peter, Tomáš and Jirka earned 4000 CZK working part-time. Peter earned three times more than Tomáš and Jirka earned 500 CZK more than Tomáš. How much did each of them earn?
- Matej 2
Matej, Marko, Milan, and Matúš had a total of 205 football player cards with signatures. Marko has four times more than Matej. Matúš had two times less than Marko. Milan had 20 cards less than Matúš. How many cards did each have? - In the domestic
In the domestic express train, there are 1st and 2nd class carriages. There are 2x more 2nd class carriages than 1st class. There are 10 compartments in each carriage. In 1st class, each compartment has 6 seats, and in 2nd class carriages, there are eight - To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors to the cinema during these three days. How many were there each day? - Police on time
A boat with smugglers has left the shore and is traveling at a speed of 85 km/h. In 10 minutes, a police boat starts chasing it at a speed of 110 km/h. International waters, where the possibility of apprehending smugglers ends, begin 30 km from the coast. - Tanker 3
A gasoline tank weighs 4500kg. If we pump 30% of the gasoline out of the tank, it will weigh 3900kg. How many kilograms does an empty tank weigh? - Chocolate 10
Anička bought three identical chocolates. Tonda bought 5 identical chocolates. Tonda paid 8 euros more than Anička. How much did one chocolate cost? - Gardener 5
The gardener bought 17 apple trees and 11 pears. He paid a total of €111.65. How many euros did 1 pear cost, if we know that its price was 35 cents higher than the price of 1 apple tree? How much would the gardener pay for 28 apple trees and 15 pears? - Competitor 2
In the race, 1 twelfth of the competitors finished ahead of me and 7 eighths of the competitors finished behind me. How many of us ran? - Anna had 2
Anna had 2x more than Betka. Cilka had 12 euros more than Anna. Together, they had 92 euros. How much did each have? - Pack of cream
A mother uses one pack of cream in 12 weeks, and a daughter in 14 weeks. They used the cream together for four weeks, then only the daughter used it. How many more weeks did her cream last? - Red bouquet
A third of the flowers in the bouquet are red, six are yellow. How many flowers are there in the bouquet? And how many are red? - Apples from grandma There were apples on the table. Milan took 1/3. There were 6 apples left on the table. How many apples did Milan take?
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