Maths practice for 14 year olds - page 132 of 378
Number of problems found: 7551
- Free fall
The elevator car weighing 720 kg, is torn off at the height of 125 m and begins to fall in a free fall. How much kinetic energy did the elevator car have when it hit the ground floor of the building when the free fall of the car lasted 5 s? - Efficiency 41901
What percentage is the loss of a machine that works with an efficiency of 0.78? - Performance 41891
The car's engine develops a power of 1800N. Find its performance if it travels evenly on a horizontal path at 48 km/h. - Five-digit number
Anna thinks of a five-digit number not divisible by three or four. If he increments each digit by one, it gets a five-digit number divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it swaps any two digi - Gravitational 41861
Find the potential gravitational energy of a 2000kg tow cage relative to the bottom of an 850m deep draw pit when the cage is on the surface. - G Force, mass The car, with a weight of 20 kN, travels at a speed of 54 km/h. What is its kinetic energy?
- Average 41841
What work do we do if we pull out a 58mm nail with an average force of 350N?
- Happy marriage
Jan and Marienka have been in a happy marriage for several years. Jan's age is written in the same numbers as Marienka's, only in reverse order. Their ages differ by just a fifth of Marienka's. Jan is older. How old is Jan, and how many is Marienka? - Perpendicular leg
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - She showed the PC
Sabína wrote down how many hours a day she sat at the PC. Dana showed the situation with a radar graph. She was around 100% at the PC longer on weekends than on weekdays. Saturday-5 hours, Sunday-4 hours. And during the week it was: Monday 1 hour, Tuesday - Simultaneously 41451
Cities A and B are 36 km apart. A pedestrian leaves town A at a speed of 6 km/h to place B. A cyclist leaves town B simultaneously at a speed of 24 km/h to town A. In how many hours and at what distance will they meet? Write the result in minutes. - Tests
To obtain a grade A, Patrick must score an average of at least 70 on five tests. If his average mark for the four tests is 68, what is the lowest mark he can get on his fifth test and still obtain a grade A - Diameter 41221
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Probability 41211
We have five red and seven white balls in a hat. What is the probability of pulling: a) a red ball? b) a white ball? - No solutions
Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions?
- The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - Penguins 41161
There were 10 more reindeer than penguins in the ice kingdom. But the lousy witch captured a third of the reindeer. There were only 22 reindeer left in the kingdom. How many penguins lived in the ice kingdom before the evil witch came? - The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle. - Binary words How many 10-bit words can be created with precisely four units (e.g., 1111000000)?
- Guilders 40991
The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy?
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