Maths practice for 14 year olds - page 67 of 369
Number of problems found: 7377
- Ohms
Two resistors of 6 ohms and 8 ohms are connected in parallel to a flat battery U=4.5 V. Calculate: a) the total current, b) the current in the branches. - Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its area if you know that the side is 280 meters long. - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Nightmares 80568
At the dream market, she offered the Sphinx to a traveler for four dreams, seven illusions, two naps, and one nightmare. Another has seven dreams, four illusions, four naps, and two nightmares. The Sphinx always measures the same for all travelers. How ma - Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5 - Martha 2
Martha is 26 years old, while her nephew is 18 years old. What is the simplest ratio of Martha's age to her nephew's age? - Apprentices 80561
The master produced a quarter more products than one of his apprentices. Together they produced 45 products. How many products did the apprentice make, and how many did the master make? - 3-room
Calculate the area of a 3-room apartment if you know that 2 rooms (bedroom and children's) are the same size, both have the shape of a square with sides of 3 m. The living room has the shape of a rectangle with dimensions of 4 m x 5 m. The area of the - One-nineth as percent
What is 1/9 as a percent? Round to the nearest hundredth. . - Destination 80553
The train traveled along the high-speed line at an average speed of 180 km/h. He left the starting station at 6:00 a.m. and arrived at the destination at 8:40 a.m. But halfway through the journey, he stopped at the station, where he stood for 10 minutes. - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Calculate energy
A cheetah weighing 38 kg moves at a speed of 108 km/h. Calculate its kinetic energy. - Production 80546
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail? - Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Kilograms 80532
75 kg of flour is ground from 100 kilograms of wheat. How much wheat is needed to obtain 135 kg of flour? - Twenty-five 80531
People must collect twenty-five tons of waste paper to save 160 trees. How many kilograms of paper must be collected to save 32 trees? - Aquariums 80526
Mirko has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mirko have in the smallest aquarium? - Osmium wire
A spiral of osmium wire has a resistance of 300 ohms at a temperature of 20 degrees Celsius. To what temperature was the coil heated if its resistance rose to 2940 ohms? (alpha=4*10-3 1/K) - Coefficient 80516
An aluminum wire has a resistance of 4.25 ohms at 0 degrees. Determine its resistance at a temperature of 200 degrees Celsius. The temperature coefficient of the electrical resistance of aluminum is 4.4·10-3 1/K. - Coefficient 80515
A tractor pulls a tree trunk weighing 1.5 t for a distance of 2 km along a horizontal road at a constant speed. What mechanical work does it do if the coefficient of sliding friction is 0.6?
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