Grade - math word problems - page 109 of 968
Number of problems found: 19342
- Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body with radius r = 0.08 m and mass m = 1.5 kg at time t = 5 s, given that the body rotates about an axis through the centre of the cylinder with a constant angular acceleration ε = 5 rad/s², starting from re - Water + temperature
We supplied 1,365 kJ of heat to 5 kg of water initially at 20 °C. To what temperature did it heat up? - Footballers 2
Footballers have jerseys numbered 7, 8, 9, 10, and 11. The coach wants to send them to attack: a) so that no two even-numbered jerseys are adjacent, b) so that no two odd-numbered jerseys are adjacent. How many options does he have in each case? - Multiple-choice
A multiple-choice test consists of 4 questions. Each question has three different answers, with only one being correct. A student answers each question randomly. Determine the expected number of correct answers the student gets. - A fraction of an hour
Calculate in minutes: 2/3 of 5 hours. - Perimeter 37
The perimeter of a square is 18. What is the length of its side, and what is its area? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - In the kitchen 2
In a kitchen measuring 3 m × 2 m, we want to lay square tiles with sides of 20 cm on the floor, placed right next to each other. If there are exactly 40 tiles in one package, how many packages do we need to buy to cover the entire kitchen? - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. By how many CZK did Thomas receive less than John? - How big is 4
How large is the angle in a right triangle if one leg is 20 m and the other leg is 1.5 m? - In the library
We have 8 different books in a library. In how many ways can they be arranged? In how many ways can they be arranged if 3 specific volumes must appear in a fixed given order? In how many ways can they be arranged if three specific volumes must appear cons - Grass Mixture
Peter plans to buy a grass seed mixture consisting of meadow grass and fescue seeds for 40 euros total. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each should he buy if the resulting mixture is to weigh 6 kg? - Waffle, bar
Janet bought a wafer, a chocolate bar, and a candy bar. She paid 38 Sk in total. The chocolate bar was 8 Sk more expensive than the wafer, and the candy bar was four times more expensive than the wafer. How much did each item cost? - Running race
A running race consists of two stages. Two thirds of the competitors completed the first stage, and only three quarters of those completed the second stage. Only 12 competitors reached the finish line. Determine how many competitors started and how many d - Ice + water
A rectangular ice rink measuring 60 m × 30 m had a layer of ice 3 cm thick. How many litres of water were used to create the ice? - Vegetables - slime
A private vegetable grower can complete the harvest in 12 hours, and his son in 10 hours. How long will they take to harvest together? - Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How far can it protrude over the edge of the table without falling if a weight of 0.2 kg is placed at its overhanging end? - GP - free
For a geometric sequence, the following relationship between the first and third terms holds: a₁ − a₃ = −1.5 a₃ − a₁ = 1.5 Calculate the common ratio 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 first solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer than the other. How long are the wands? - Small interest 3
Thomas had a certain amount of money in his account, which earned him €64 in interest over a year at an annual interest rate of 2%. What would be the interest on the same amount if the annual interest rate were 3.5%?
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