Maths practice for 14 year olds - page 99 of 370

Number of problems found: 7398

Enlarged 63034
Divide 130 nuts into two parts so that the smaller part is enlarged four times equals the larger part reduced three times. How many nuts are in the smaller pile?
Two-fifths of the money
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive?
Temperature 63004
Brass weighing 2.5 kg absorbs the heat of 180 kJ. How does the temperature of the brass change? The specific heat capacity of brass is 0.36 kJ / C
Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted?
Father and son
A father's age is five years more than four times his son's age. In 5 years, he will be three times his son's age. How old is the son now?
Two-digit 62944
Find the number of all two-digit numbers created from digits 1, 2, 3, 4, and 5 that are greater than 24. We can repeat numerals.
Pears
Boris, Filip, and Martin harvested pears. It took Boris 30 minutes to harvest one full crate, 20 minutes for Filip, and 36 minutes for Martin. Calculate how long it would take them to pick up five full crates together.
Installment 62884
It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 permille per day. What debt will be incurred at the end of the year?
Environment 62874
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n
Rectangle 62854
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm.
Perpendicular 62824
The magnetic induction vector at a given field location has the direction: a) to the south magnetic pole b) tangent to the induction line c) to the north magnetic pole d) perpendicular to the tangent to the induction line
Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom?
Loaves 62663
They sold 452 loaves of bread in the store. They sold three times more black bread than white bread. How much white and black bread did they sell in the store?
Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
Average age
There are 20 students in the class. Several are 12 years old, and others are 13 years old. Find out how old is twelve when the average age of a class is: a) 12.5 years b) 12.75 years c) 12.3 years d) 12.35 years
Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two
Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator?
Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be
Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%?
Fifty-koruna 62454
Kryštof has 1,500 kroner in ten and 50 kroner coins in his piggy bank. There are five times as many ten-koruna coins as fifty-koruna coins. How many ten-crown coins does Kryštof have in his piggy bank?

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