Maths practice for 14 year olds - page 132 of 370
Number of problems found: 7384
- Different 42191
How many different triangles with vertices formed by points A, B, C, D, E, and F can we create?
- Quadrilateral 42151
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the circumference is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size o
- Percentage 42121
Tomáš took out a loan to buy a washing machine. In the following 12 months, according to the contract, he had to repay the amount of 150 euros. The price of the washing machine is 1200 euros. What percentage is the annual interest rate? Write in the form
- Probability 42081
What is the probability of any two-digit natural number a) is divisible by seven, b) is divisible by nine, c) is not divisible by five.
- Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5°C b) 10°C c) 15°C d) 20°C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) DN1
- Apartment building
Two hundred eight people live in the apartment building. There are as many women as there are men, but there are 22 more children than women. How many adults live in an apartment building?
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400?
- Governments 41931
Father put €600 in a bank that pays government interest at a rate of 3%p. A. Grandfather put €610 in a bank that will make governments at a rate of 2%p. A. Which will have more money if they withdraw from the bank after one year?
- ABC isosceles
ABC isosceles rights triangle the length of each leg is 1 unit what is the length of the hypotenuse AB in the exact form
- 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.
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