Examples for secondary school students - page 182 of 230
Number of problems found: 4586
- Volume of three cuboids
Calculate the total volume of all cuboids for which the edges' sizes are in a ratio of 1:2:3, and one of the edges has a size of 6 cm. - 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? - Following 2896
Solve the following set of equations with three unknowns. 3x + 2y + 3z = 110 5x-y-4z = 0 2x-3y + z = 0 - 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 - 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. - Cherries 2852
Pears and cherries grow in the orchard. There are a total of 510 trees. Half of all cherries and a quarter of pears are just as many as all cherries. How many pears and how many cherries? - Grandmother's 2850
There were chickens and kittens in the grandmother's yard. Juraj found that if she added one more kitten, the number of kittens and chickens would be the same. But if she added five chickens to the original number, the kittens and chickens would have the - Daughter 2849
Dad, mom, and daughter are 100 years old. A father is four times as old as a daughter. Mom is ten years older than half the father and daughter. How old are they? - Three-digit 2842
Determine the three numbers that are in the ratio 1:2/3:3/4, and the sum of the first two equals the smallest three-digit number. - Determine 2840
Determine the first twelve members of the sequence if a13 = 95, d = 17 - Calculate trapezoid
A trapezoid is given: c = 4.2 cm, h = 8 cm, S = 42.4 cm, d = 8.4 It would help if you calculated the following: sides a and b, and perimeter o: - Numbers 2832
The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers. - Discovered 2830
A walker who had covered 2/3 of the planned hiking route discovered that he had lost his map. He came back for her. After overcoming 1/4 of the route he had already traveled, he found the map. He then continued in his original direction. When he had walke
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