Themes, topics - math word problems - page 12 of 169
Number of problems found: 3370
- Iron ball 2
What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. - Force gauge 2
A force gauge measured a gold necklace as Fg = 0.48 N in air and Fw = 0.45 N in water. Is it made of pure gold? - Checkouts
When 4 checkouts are open in a supermarket, customers wait in line for an average of 12 minutes. By how many minutes does the waiting time increase when one checkout is closed? - Electrical 11
An electrical device produces 4.2 MJ of work per hour at an efficiency of 53%. What is the power input of this device? - Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must she run the second lap so that her average speed for both laps combined is 10 km/h? - Rent increase
Calculate how much rent should be increased each year to keep pace with annual inflation of 7%. The rent in the first year is €550. Calculate the correct rent for each of the first 5 years so that the real value of the rent remains constant. - Dielectric change
An air capacitor with flat parallel plates has a capacitance of C₀ = 10 pF and a plate separation of d = 1 cm. A dielectric sheet of thickness Δ = 1 mm is inserted midway between the plates. What will be the capacitance of the device? (Edge effects may be - Conductor - induction
A conductor consisting of two circular loops with radii R = 5 cm is placed in a magnetic field with induction B = 0.6 T perpendicular to the field direction. What is the electromagnetic voltage induced in this conductor when the magnetic field disappears - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an annual rate of 10%, he paid €19,000 for it. How much interest was deducted from the face value of the bill? - Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed? - 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? - 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. - 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? - 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? - 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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