Maths practice for 14 year olds - page 312 of 369
Number of problems found: 7365
- Circumference 2907
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%). - Atmospheric 2901
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be? - Intended 2900
Of the 825 tons, the first part goes for feeding, the second for sale. How many tonnes are intended for feeding if this part makes up 65% of the second part? - Following 2896
Solve the following set of equations with three unknowns. 3x + 2y + 3z = 110 5x-y-4z = 0 2x-3y + z = 0 - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Volume 2887
The block volume is 512dm³. How long is the edge of a cube with the same volume as a block? - Denominator 2883
Write a fraction with a denominator of 200 greater than 0.39 and less than a two-fifths fraction. Write its numerator x. - Unknown 2881
Find an unknown number: (9 + y) x 6 = 12 x 7 y =? - Big number
Dagmar typed numbers on the computer (without spaces) 45678910111213141516... Which number did she write in the third place? The digits of this large natural number are assigned natural numbers from four 4-5-6-7-8-9-10-11-12-13-14-15 etc. - without dashes - Students 2878
Until VII. B class girls and 15 boys. All the girls and 13 boys went on a trip. It was a total of 92% of the students in the class. How many girls go to VII? B? - Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years. - Draw
An old man is a beekeeper and wants to divide honey between his three grandsons. He has seven identical jars full of honey, seven jars half-filled, and seven empty jars. How should he divide the jars (without spilling) among the grandsons so that each get - Grandfather 2871
Dasha asked her grandfather, a good accountant, how old he was. He said: If you add 5 to my number of years and divide this sum by six, you will get the same result as subtracting 6 from my number of years and dividing this difference by five. How old is - Increased 2870
Mathias had a certain amount of money in the winning book. He won, and his stake increased by 100%. Mathias used half the money for a trip and donated what he won to his brother Jakub. How much is left in his passbook? - One-fifth 2869
Find all natural numbers that are twice as much as one-fifth plus nine. How many are there? - Groschens
The young journeyman bought a cloak, hat, and galoshes. He paid 200 grosz for everything. A cloak costs 90 groschen, more than a hat, and a hat with a cape costs 160 groschen, more than a galoshes. How much groschen did the cloak cost, and how many hats a - Tatra
A tourist climbed from a hut at an altitude of 1367 m above sea level to the top of the Tatra Peak. The trip there and back took him 6 hours and 20 minutes. What is the altitude of the mountain peak if the tourist climbed 300 meters in one hour and 500 me - Determine 2860
Five natural numbers are given, each of which is a triple of the previous one. The largest number is bigger by 1152 than the middle number in this series. From these five numbers, determine the first number. - Denominator 2858
Which same integer must we add to the reader and the denominator of the fraction 37/73 so that the fraction equals one-half?
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