Maths practice for 14 year olds - page 258 of 375
Number of problems found: 7493
- Work
The first worker would need less than 4 hours to complete the task than the other worker. In fact, both workers worked for two hours together. Then, the first worker did the remaining work himself. In what proportion should the remuneration of the workers - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Filament of bulb
The bulb's filament has a 1-ohm resistivity and is connected to a voltage of 220 V. How much electric charge will pass through the fiber when the electric current passes for 10 seconds? - Birthday
The mother bought 21 desserts on the occasion of Mirka's birthday. One tip was 9 CZK, and the kremlin cost 12 CZK. For all desserts, she paid 213 CZK. How many kremlins and how many tips did mums buy? - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Electric Kettle Current
The kettle is connected to a voltage of 230 V. Its resistance is 130 ohms. What is the current flowing through the kettle? - Distance Between Walkers
Adam and Boris go from school on two perpendicular paths. Adam's average speed is 6 km/h, and Borisova's is 8 km/h. How far will they be by air for 0.5 hours? - Triangle perimeter
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Pendulum
Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm. - Highway tunnel
The company built the highway tunnel from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" rasters. After 55 business days, both parties me - Solving System of Equations
Solve the system: 2 * (x-2) = 6y + 6 y-x = -2 - Vehicle speed
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going? - Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long leg. How many meters of the fence need to be fenced? - Triangle Side Lengths
The triangle has side lengths expressed in whole centimeters. One of them measures 8 cm, and the sum of the remaining two sizes is 32 cm. Determine the lengths of the remaining sides. Find all solutions. - University students
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Two workers Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Four Proportional Numbers
The first number is 50% of the second, the second number is 40% of the third, and the third number is 20% of the fourth. The sum is 396. What are the numbers? - Three Numbers Ratio Product
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum?
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