Maths practice for 14 year olds - page 67 of 378
Number of problems found: 7560
- 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? - Coefficient 80514
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum - Temperature 80513
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - Line - slope intercept form
What is 2x−y= 4 in slope intercept form? - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri
- Eighty-two 80493
The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis? - The electric motor The electric motor winding's copper wire (alpha=4*10-3 1/K) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees?
- Nikelin and brass Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm
- Resistivity 80483 The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made.
- The grocery
Susan has decided to make grocery combos for her shop. The wholesaler she buys from sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and 15 bags of rice in a carton. How many of each item should she buy so there are an equal numb
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